IM 8.8.6 Lesson: Finding Side Lengths of Triangles
Which triangle doesn’t belong?
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614F172u4IC3L51C7t27MSBfftx8MCBSr24qn1qSopTroBzgK9fvcaRw0fQtHEsIsPCMWfWbMl3SnGvyGY4Q44YNhz1g0MQv26deKV62miR7EwnjCwUxZHeqkMGDZZeEB1zaPN2x5x8FWnAnvgbFUZPrHXXXvPLly+xYN48rFu9BocPHcLRI0dAceN7vvieKdGKe3FfYz8u9sv/nzp5UlahcORVGJY1OtksW7JUck+Hh4Ri3969FR4lGuXjMdeuWYNqP/yE2TNmIjMj0/jK4/6aUhhZ+ey90LY9Ytgw1KlRC5MnTPRIW7fHtcgSLliFsQQw+rHDCHC0yE54xtsMSZbNQHbmFr186RKuXb2Khw8eiNcnzZf5+fmFL3banzx5ghvXryPhcgJuXL8heUS5rJOjHQhp6mSOUq5uwQUZWjVrjrt37orpt6IDB+N5e2D/AXF+7NqpM+7fv+/wsjusolxwIFMKo3HdbFRJt29jYP8B4mlFU4EnTgQbPDz5rwqjJ9e+86+d4rB86TJZioniQzPq7JmzMGr4CHTv0hU9u3XHqBEjJfzhzesvK9V/MWe+ws7tOzBp/AQJbejRtRt6de8hqS7PnjkjAuuo0lNoL5y/IMcPDgiUfKcP7j+otLnz44cPuH37Njp36IjwkDCJgaT4e/JmamFkxVAcmdaoV4+efy52PNGuJVI8uVLd8dpVGN2xVs1xTRQ4Lqc0sF9/Wc2eziajR44UYTx39iyuX7smo8ZlS5fCq2YtHDpwUDLLcMrn4cOHGDdmrAgmV6pgEDxNqL169JC5P35W2Y3noVAxA03TmMaSBHzVypUySHDEsZlLdUC//ggNCsb2rdvKlUO1suc36+9NL4zsyXEymeI4oF8/aZhTJ02WmB1+p5tnEFBh9Ix6roqrpFn09KlTWLViZeFivYaplJle+PxhFhh6e8a1biNCyNAywwRJpx3uz324L0d2ly9fRkRofSxZtLhSl8RzcO5z5fLl8K5dB7GNYnD82HE5BwWzshsXjed1165eQ6IBaBbW56pJnW+KVrbRAJOSksRblbb1mdNn4NnTZ1qJRWG56f9VGN20Yl10WRQRClZKSorMB9oGvlMMFs6fLyNDmlFL2h6lPULr5i0wdvRoEdCS9uOI80pCgggjF+GuyGY88+7dvSvxicH+AejbqzfOnztXqflE27KwnHQYqh8cim6duuBO8h1xfLTdx1Pfm37EaFsx7I1xkrtHt+6SGHfq5CmSFMDRE9y259T35iCgwmiOerBqKfiMSLySiP59+2FA334iAvyMAkQnmwljx+H5s2dfXR5HgBTTrMxMCY2gKHHV+53bt4s4GTvTFMt9s7OyQbMkn1FLFy+RBX1p/izvRhGncCfdTkKXDp3gX89HPPRpNeN5KrvxmllmhsV1bNdeVs3goKMgv6Cyh3ab31tKGEmdjZlB/7ThM0EuzarlWUbFbWrOwy5EhdHDKtwJl2sIwr49e7Bm1SoRGYoQPU+nT532zSiQCbTXrl6DhfMXyCpAbVu1FtMoM3LxWMbGkVdiYqKET9BhZ+igwWJypQNPfgWcWCjGDA2hKZZB+4sWLHRonlJjTrVPr94IDQzGls1bKlRO4/rd8a/lhJENkuLI9RxHDh8uix0zezxdmG0bqztWlidfkwqjJ9e+Y6/95o0bGDJwkIgN5wrXrVkrcYecJ7Td6Kk5eeIk8Uylt2mDiEgZcaY8fPjVyI2juBPHj2P0yFEYPnSoZKEJCw7B6pWryuUgQ5F++eKliC/TsTWLbSKmzrdv3zr02cbjLV60SKxuE8dNAP/Pc+v2FwHLCaNRdJpVaX9nr8ffx7cwQ45WsEHIvf6qMLpXfVbl1bx69QoTx0/A1atXJdPN0CFDJEk2O9y2G4WSwskFDh49eoTjx46J88vEcePFIcbYl88ceo0yKQmzdLHTvmL5ckTWD8fqVaukI19ap53f8Vwcoc6cNgNhQcFo1yYOFy9eFFOucR5H/GU56WgUEhiETu074P69e444rNsdw7LCyJpgQ6Y9v2d3zjn6SHCuZshxuzYqF6TC6J71WhVXRRG6dPGimEjXrFqNeXPm2lUMPluYbSY6IgoXL1ws8TcUOo4i27RshS4dO5WatYv7spNPUyxHpb/9XE3iJZkzmiZPR2481+1bt9GuTVsE+PhKaEnRzoAjz2flY1laGI1GxTnHIYMGfcmQM3GSJgGwcossoewqjCWA0Y/LTYCCw3RngwYMRO+evZBwyb5YQwoj4wcbRkaBwfslbXwucRTJxN4cldEHojiR42f0gj15/DgahEfIwgkcaXJES7HkcRy1sTwMzaBnK5f2Y7wiYzcdeQ5HldUMx7G0MBoA2Yg4H6AZcgwi7vdXhdH96rQqr4gOLtOnTseo4SOR/jy9sCgUKwpGWloamOGGpkc611AU+YzhqI6ZcB6lpYnYMRMXX0wjV8A0cXl5ePP6NZgYICKsPiZNmFjsqvccUdILdtXyFQgPDUPLZs2xY9s2ZGZkiCWssEAOeEPxYx5UZvZhaAYTEtB7VkeLJcN1C2Hk5bGSv2TI6aEZckqub8t+o8Jo2aozZcFpTmUGm2NHjonwGYXkcyQ5KUnSrs2YPl1GhpcuXMC2rVvFLMpVLC6cPy+/4b57du+WVHArlq/ApQsXJc5wxbJliG3UWASU+VdtN4oUO/JPHj/BhPHjUat6DVniiflYeTxnjOB4rTw+vfg5QqbzkG6lE3AbYTQa3ONHj8VzzKtmbQnl4MS5Mxpb6Vj1W0cTUGF0NFHPPp6YUzMzJV7Q9vkgn2dkYMP69eKgwzRxjH2kx+nKZcvFsYaZbvgb7svE4iuXr5B5QcZHcv/JEydix7btYrqkCNpuzKTDZOOMH6xbuw5GjRiBp0+efOXlaru/I94zpV2TmMYS/mEIsCOO687HcBthZCWxsbLX9VeGHG/M0gw5btF+VRjdohpNdREUNltRNJ4hnI+jOZUeqS/S08XU+urlSzFH2o7q+FvOEdJMybRt7IRzf/6Oplrua2zcl2ERB/cfQIumzdAgPFIElR15RwTtG+ex/cvrYBgbk58zW9iWzZvFJGy7j74vnoBbCaNxiYapgvMB/vV8MW2KZsgx2Fj1rwqjVWvOs8ttdNa5qPD6+HgJxWCybgok5y2dtVH0Kc5cbJgrcYwZNVpGx/xct7IJuKUw8rLZW3v29Cl6drfJkJORUTYR3cOUBFQYTVktWqgyCHDUxpRzY0ePgY9XXTB7DuMnOdIsOlot41Dl+poOQ2fOnBFPfS6ZRQchFUX7EbqtMBo9Nc4BjBj2Z4acSZohx/6mYa49VRjNVR9amrIJ0OnlamKirHMY6Osnc5YM4qcoOlOkKMbXr11Hq+YtEB0ZhTOnz4i51plCXDYNa+3htsJoVAPNqnclQ04vCWplLkP2nth4PG3jjcq5E7qVW+36VRg9rbVa93ppraKZlJlyGEzPTDZzZs6S1YCcKYgkRvHjXOeEceNRr05dbN2yRcpiDBT4POScpu2LCxWraH7d3txeGHm5bKh0jy5clWPSZMmY7+xG+jXqqv/fxQsXMPNPF3SaWqy0qTBaqbY8t6x8ptDJZv26ddIRZ+D+rp07JeWbs6lQ3Ch8CxcslHnF8WPHIic7W07LjjAToSTdvo1bN2/i9p8v/j8tNdVyHWVns/QIYTQaDNPH0Z26zu81MW3K1K8Ce50NuiqPz+tnD5HeabWq/y7L7jCvo5U2FUYr1ZZnlpX3GVO5zZg6HdV/qSZrNzJUgkkCXNEJz8vNxamTJxHg4ycxlxQ8wzOWS2KNHzMWMQ2ixSs2rlUb8MXsPCyvszxjrdoSPEIYjcphb4q9pf59+koSAOZIZNYLNmh33njdDGFp2bSZ9GK9a3vh1s1bhTeNFa5dhdEKteSZZeTzg+KXcDkBg/oPQEhAIAYPGCSLHFRk2amKUKSwcfmsti1boWFUA5w8fkLub+PZxqWyuLbjpPETcPfOHUmKzsTojKF89fKVpZ4FFeFT3t94lDASDkWCK3F369xFcgZOmzy1MD6pvPCssj8XPV2/Lh6RYfVlpMxExWtXrUZOdo5VLgEqjJapKo8qKEeCDItg4HxMdEP4etfDnFmzChdQ54iN39O8ylylxov/5zwkv6OoVWZESfFjnCVTvVX78Sfs37tXjmtbEYytbNY4FqtWrBARt/1O339LwOOEkY3oizimoW+vXvCqWUsWKbWaafHbqiz5E96E7Vq3Rfs2cZKyqmNce8n8f//+/ZJ/ZLJvVBhNViFaHBEz5jaNX7tOQjGYG3XPrt0iShQ6PmtozuzSoSN+++kX/PCvfxe+qv3wE9q0bInpU6bi0sVL3wiZvXh5DgrrkkWL4eddT0aETEJeVGgpnHQC2rxxk5pN7YDrccJIJmxM9MRiHkMuWOpb1xtzZs6WtdTsYGapXegafiUhATV/qy43DyfgV65YgWD/AGyIX28ZM7IKo6WandsXls5rNEWOGz0GzJ/KVTTOnD4to0BbUWK4GOfyfLy8MW3yFLHc0HrDhN589oSHhMpqHdu3bRMHGD6byrPR0/zYkaNoFNUA7dvGISUlpVjhe/niBbxr18GCefMlfOPc2XO4eiVRMuNQWMt73vKU0Yr7eqQwGhUlI8dHj2SimhlyZk6fIRn1jQlrYz8r/6UJhQursjfJG5dCySTJwf6B6NOzl2WyYagwWrkVulfZOZ/I+bx+vftIYm469HHB3+KeGxTG9m3aomFkA9ARx9h4HzKsgiL5e7XfJHcqzay2omrsW9JfChpTyrVs2hxR9cPFnFvSvrQaceFklqNVsxbymyaNGqNvrz5ISEiQEC4Vx7/oebQwEgMb85PHj9G9SxeJ+6GHljNTNf2F3jXvEq9ckSBfLpWTmpoqJ6XrNhdQbdQgGolXEovtYbqmdPafRYXRfla6p/MIULiOHT0qUxG/V/sVC+fNL3X915KEkSXksTj/Ty/SxtENxVmHnXV7t6dPnmLMqFGo8Wt1bN28WTq9Jf2W9zwzgdFiRFGmB+uJY8dlGS2en9az8py7pPO4y+ceL4xiVv34EcxIMXTQYNBjc/qUadLYrVzJxnUx8z9vYAb8UiTv3b0nCQ8WL1qEurVoWplX4fkNV/JRYXQlbT1XUQIUMVpf6LxC02njho2wd8/eYlfQsP1tacJIseJIzr+ej4RQMJyMn5W1GYK6bMlSSQ5OT1MmL+fnJW3G84DH5378P0e+TEJAp7zFCxdKbHdJv/e0zz1eGI0KZ2+J5pFe3XtISMO82XPF1GFPQzWOYaa/bPy8Wfr06oWfvv+PmE6Z0T+mQUN5cRXv2r/XlLgmzj+UdlOZ4bpUGM1QC55XBgoITZacu2NnklMucW3ayGiL83tl3TcURjq+hYeE4fSpU6BjDF9cjSM1JQXbtmxBSEAQJk+cJEkAeL7SNn7PEd/JEycR2yhGQrAeP35UYatP0u0vYVzM5Urh1+0LARVGm5ZAsypX5u7aqbPcADSrZmdlldn4bQ5hmrcUek6w01Oua8dOssTN2tVrYLxWr1wlnYD//OvfOHnixFeLtZrmImwKosJoA0PfuoSAiOK7d2Li7N+nD2r/XkPm5OjNbW+HmcIY16q1JPNmHOGIocPlNWzwUFnIODw0TJbGo8XKno3PqLS0NDSMiELTxrFgNqvi5jaLHovXYryM7yjqzOXapFEMZs+YKaNX4ztP/6vCaNMC2HAoKJxzlAw5NWqKWZWT5Fbb6DXHpWY44X7+3DlkZGSIyZRxU3wxZ+qRw4dlfmNw/4F4kW7uTDgqjFZrgdYvL++RK5cTxNQY5B+AObNmi3iUx4vTEEZ6hXNk2KxxE3kx5pHLQXF+bwUXQL7/wC7PUJpbuSAyR66bN2y0a5RJ4WRqOAb5yyLLnz9LZ5/OPqtXrRKP2cQrCXj//p31K81BV6DCWASkIY7fZMhJt06GHIo7R77M6M8sPxT24kw+THTAJWnqB4fi7OkzRUiY678qjOaqD3cuDUeDnIZgOFN0RJSYLIpm9F0AACAASURBVLds2iwm0PJe9xdTahuJITx65IikjGPauNSUVLHUzJ09BxGh9TF8yFDxMC1t9EenwNUrV4qH+ZRJk+z2g+Dz4ML58xLjuGjBAhFizk/y3HTC42c5OdnFPiPKe73usr8KYwk1aYhLYYacKdbJkMMR4aYNG8V8Q+ebTx+Ln9Bnj3jLpk2SP3XxwkX4+OGvFcdLwFJlH6swVhl6jzkxO8UcDXL+b8bUaRLr2zAqWuKAc3MqliWKwlhcuAah8nycLxw8YKCMHPft3VtssnHuR8E8d/ashGXEtW4j8Yf2mnP5W3aOeQ9179wFjaMboWlMLGZOnY4rV66I9ai4jrPHVHwxF6rCWAwUo9FSHJm5gvF+XjVrS7Ldly9elvAL83xMl+zBAweJpxs9UXljFbdJz/jFC5mHHDJgEMzshKPCWFwN6meOJMD74eaNmzL3R8e0QQMGygiPYllR4ShNGFl2HnfpoiXimbpk4SIUJ8A8Px11GkREiqgxxIqCau/G+5/XxukVhocY0yl0HuIzrqLXZu/5rbifCmMptSY9tcIMOQPFFs/US+xRmnljJv0rCVck1RRHhaVtX8wsF5Bw+TLycvNKFNHSjuGK71QYXUHZM89B0WDoAk2dzB7DrFAUqYcPH8oIsqSOpT20ShNGChLFysi+xXRtLIftxn3Y0WUoWZAfs1XFyz4qZraUHP9ehdEOpoZZlfZ4Ns7lS5eCORJ5Q+nmGgIqjK7h7Gln4b39+tUr7Ni2DWFBIYgIDcOWzZtlYQFHiI8IY+u2iCgmXIMp5Q4eOAB/bx/ENmwkHqIcHdpuWZmZstgwc61OnzpNkoXbfq/vnUNAhdFOrrTT01uVc44BPr5YuniJpVansPMyTbubCqNpq8bSBeNojKEKjPVt26o1Thw/LqbFyowSbYFQGONatkat335Hp3YdMGTgYHnRs5Qxxd/9/R8IDQyS5N4U6aLnPbB/P0KDgtG2ZWsw003R723Ppe8dR0CF0U6WbJAUR8YbDRs8RDzDli1ZImuZ2XkI3a0SBFQYKwFPf/oNAc7R3b59G7179JSO7shhwySHMOfgHLlx2mXWjJno0bU7enTrjj69esurd89e4om6e+cuKQdHhraix5Fj0u3bEgPJkCsua8U5Qd1cQ0CFsZyc2atjEm5myOGCpCuXLxc3bkeYXcpZFI/aXYXRo6rbaRdL8WFM79kzZyRxNwPsmWT/+fPnFc4eU1phKXAZbzNkQfRnz56JN6nxl5lm3r/71rGHHXA6wo0aPkJCqbisVXGjydLOq99VjoAKYwX4seEaGXJoBuHIkT1NFccKwLTzJyqMdoLS3UokwPuTzi0MZeJ8YoCvHxif6OhRYokFsPOLrKwsyVBV7cefMWv6TLda1MBOBFW+mwpjBaqAvU724IwMOUzGLWbVV68qcDT9iT0EVBjtoaT7lESA9ysX6+W6q1yCjbF81xITxU/ATE50LMvB/QcQ5OsvwfclLWdV0nXq544hoMJYQY6GON66cVOyy3B17FXLV4iHWwUPqT8rhYAKYylw9KtSCXCUeO3qtcKQB/oIMLMV5xlt5/VKPYgLvqQlKjkpGZ07dJSk48yDWjR8wwXF0FMAUGGsZDNgT5RmVTZmiiPzHtI0Y6ZeaCUv0RQ/V2E0RTVYqhC8B+mwcuPadbRu3gLMV8rFyJmSzWwby5qZkSlJBZhDddvWrU6Z8zTbdZu1PCqMlawZGTn+mZmCDjk+XnVFHN++eVvJI+vPbQmoMNrS0Pf2EGBu0Z3bd4jplPGJO7Ztl/jETx/Nl/qQ6zKuWbVaVvCYMmmyiKSZRrP28HanfVQYHVCbhWbVmzcxqP8ASQLAZZ247ppujiFQnDCSOz375s2ZK/kmmR1k6OAhhS+mzlKHKMfwt9JRWOe04jDfaWhgMNq3iZMFeenUYkZLDrPfHDt6FPWDQ8TylJycbMpyWqkNVLasKoyVJWjz+w/v30tuVWbIYSjHmlWrZFVsM96MNsW2xNtihfHzZ9y/dx8NoxqIGbtFk6Zo1bxF4evM6dP6gLFE7TqmkBREmk5TH6bIsnF0suEUx72790y73ijLnJqaik4dOoq1ibGVGq/omPZQmaOoMFaGXjG/5QQ6s2n06NpNxHHd2rWmcwcvptim/6g4YeRD5caNG2jdoqWMCOiowM+Ml5qiTF+tDi0gR14Xz19A89imqFurNiZPnAiuOWjWjinbJ9tsv959ZG1GhpGos41Dm0SFD6bCWGF0xf+QjZ3iyFRQI4YNR6CfvyT+ffP6dfE/0E/tIlCSMJ4+dQpchofrzZVnxQG7Tqo7WYIAO0Kco6OwRIaFy8LC27duK0y8YdYOEhMNMO8yU0yOHT1GrsGsIm6JhuDAQqowOhCm7aHorXonORl9evVCeEgoNqxfL71X3sS6lZ9AScK4a8dOtGnZChTI58+eySrlXFaHnM36QCz/1esvSiLAztDjx4+xYtkyyRLTvElTScxNxxszbxwZnj1zFiGBQegQ1w737t0zc3E9rmwqjE6scsmQ8+gRunftKr3Y9et0yZiK4i5JGNetWYvYhjEYN2YMhg8dJum9du/aJaMFdk5UHCtK3Py/4/3FAHhaZn796WfJe5qUlAQzep3a0mSbZKe5Xeu28PP2kYWQ2VZ1Mw8BFUYn1gVvADZ4ZsgZPJDrOdbF+vh4GTk68bRueejihJF8mVyZiZn79uqNQf37y8OxaePGYlI7c+q0aZ0u3LKSXHRRrHeaHK8kJKBVsxbwrlUHkydOklXqmZuU35t1Y7kz3r4FV9fwr+eLLZu3gGummrnMZmXpzHJ5vDCyQdLsduvWLZmnunzpMirz4oK/VxMTCyfReXyK462btySUg5nyN8R/Mas6s2Ld7djFCSOvkckUXr96LUmg09PTxfGJD0yaV7t26ixmNndj4cnXw1EiQ3S2bd0mad0aN2wk8X+cwzf7qIvPAorgqhUrUT8kFKNGjJSE5rwm3cxFwOOFkT04Plg5+c3wCq6iXanXpk3YsX27NHjbquZNy4VJ6a0aEVZfRo55miHHFlGp70sSxuJ+xDlG7t8oKlpWZS9uH/3MWgSMDiaXcVq6eDG8a3shqn64zC2bfZRokKbX7NWrV6XsPbt1x8OHD42v9K/JCHi8MDJm6PixY9iza7eIGW+yyr4+vP8go1DbujZubAYe0z3bv54P4teu/UZAbX+j7/8iUB5hpGPD/n37ZO5x3569fx1E31mWADuWD+4/wMB+A1D795qy7BuFxSqiSPA3b9xA89gmMlqkF7WOFM3bHD1eGJkNY+mSJWC2Cb4/euQIRg4b8VcmFWZTGTQYM6ZNk/kqChy3z58+4+WLl7L/2FGjMX7sWBw+dAgvXrwocb6Av+XNwAVIhw8dKitz06zKEatupRMoSRhpBi/q6UuPxIXzFyC2UQxuXL9e+oH1W9MT4H157uw5cVahh/fc2XNkwXCOwKyw0SqV/vy5WKV86npLWAlDNXQzLwGPFkYKFdO2zZ41Sxru2zdvMG3yFPjW9ZaHKgPHjRdTvXEkYogbH74zpk0H5zjat42Tlbb5IJ46ZYrkOSytN8jeb1pqGrp17oKQgCCsWblKfsMbSLfiCRQnjKwLzg2nPHyIF+npsrIJF4G9knAFsdGNMH3qNF3tpHiclviU9wPjEznqbxAeKc4qmzZutJTzGjttuTk5Mj0T7B+I0SNGyjxj0c6cJSrEgwrp0cJI8eIyLwvmzZcbkKtmjxg6THJtckVvYzTCv3wIGxvnsLZv2yZ5GBkawBuY+3C02SSmMRiWkZ2VZexe7F+emxly2se1Q4CP35dVOXJyit1XP4TMGdK1/fDBQ4WOTeTOuRqm3+vepZuEa3Rs3x5+9XwwfsxYSc9nW2/K0ToEWG8cKXKhXtZ7owbROH3ylOXSpXFUe/78edSpUVM6wuy40dqkm7kJeIQwUrQoRHyQ2j4o6cm2YvlyXLxwUcykT588lfm/KZMni+dbSVXHZWv69OyNAf3648mTJ4W7cSHUWTNmoHOHTl99XriDzRuWg2W6e+eOOOT4eHlj5TKu56hmVRtMhW9LGjHSoYn5JZOTknD3zl0xUzOWjU4anH/SzXoEGLTP+8KYix/Yv79YBugP8NlCVhU+d7juI61OdBQ6dfKUpeZErddyHFditxdGNk5mRDl39qx4sLEXamwMDmZ8IUeAFM3UlBRZNXv2zFnyniJFk2nRBU05ic6g8jWrV8v3xvHYOzx08CB869bDnTt3jI9L/ctjX7t6VcyxIf6BWLNytYgyy63bXwSKE8a/vtV37kCA9yDvxfPnzqFXt+4I9PXHqOEjxFTOTqRtp9YK10t/gymTJokX6uZNm2S6xArl1jJ6wELFvNlSUlKwd/ceMZEmJCRIvfMm27tnD+LXriu84SiU7dq0BVf4njh+vNyUixYswO1bt75yvLl08aKY7yiC+Xl5he2I50q4nIDv/vYPXL9mv9MHRzYU0hZNmsmc48rlK5CX+yUhduHBPfyNCqN7NwB2BLOzsmU+MSK0PoL8/CXej3F/VtsMa9CSxYsR7B+AMaNGi1nYatfhyeV1+xGj0Uh5g+3ZvVsWK6XzC3umXMePgmT0RF+/eoX5c+eiX5++GDxwkATkd+vSBVzklCnHOHpkuin2aJm14tSpU19lVuFxaDr57//n/4gDiHHcshoY96M4MvE4l6yqU6MWKI4MZNbtCwEVRvduCc+fPZd59uq//CqOb2fPnCm05Fjtyumkd+rkSVmXtVOHDrKsFJ85ulmHgNsLo1EVHM0x7om5Nen0Qjf+TRs3ifgYAsb1FCl+nJ9iFhW6WDPucMmiRWAvdvPGjYWmHn8fX2n8ti7jPA7NrP/z//5fGTka57bnL39LsypTnFEcucCqYVa15/fuvo8Ko/vVMNs87x9mhWLIE702e3XvgevXrll2qTZ2cO/dvSvzikwwcfL4CfElMJ4x7leL7nlFHiOMbJicX2RuwosXL8pfrpptT08uLTVVPMoG9h8ggknxonAd3H+g0EOSzYPzIBcuXMD3//hXhePnKI406bZo2gyhgUEycqRZlcLuyZsKo3vVPk2nHFkxfrh18xYyLz9u9BjpjNpzT5qRBp8xDP8aO2YMfv7Pj9i3d690pM1YVi1T6QQ8RhiJgTfjkcNHsHrVaok3pNnTnp4cR4/DhwxFn569QHfr27duy2KoS5cs/SpzDb3mOG/JcAF61VVkY3ne/+mV1zGuHerV9hJvVSYe9uRNhdF9ap9tnOkQGerEOTiOFJnognOM7ADac0+ajQbLTEFfsmgxfL28MXH8BLE8qROd2WrKvvJ4lDASCV35+/ftB/ZO6TVmu7FxF3dTMtaR67xNmTRZ1vujUDLekfOPNLUaG4PM6bTTtXNnMdcan5f3L8tAk0zilSvo0rGzzGeuXb3Go+ccVRjL24rMuT/bNeOF586ejejIKOlgHj18ROKIrSwiBfn5OHH8hOTnZQL71JRUDRcyZxO0q1QeJ4w0dUwYN65YMwdNrZwfoCMAHXEYrkHhmzVjpgTunzt3TgKMadrk3AGz3mzbulXMqxTZA/v2SxgHH+KO8KajWZWxeU0bN0GQr7/Mj4oDkAeaVVUY7bqfTb0TLSopD1NkPpFxu5xLv3n9huUFhGLPpeUYrxgZVl/8BExdEVq4Mgl4nDBSbO4k35H5xqI9VAb60028Y7sOki919IhRknGDIRw7d+z8Kicnb4ZlS5eiZdPmshZg/z59ER0RJXFL9Hgteuwya6KEHXgeimPzJs0kQ86aVast65hQwiXa9bEKo12YTLsTrSBckq17l674z7++w9TJk8VbszgLjWkvooSCMUsWV+f5vdpvkqGJzxjdrE3A44SRgkUnGf4telNylEezKYXz3t17MnpkDCOzq1DsbDf+nomAGWIhv7lzB3fv3nV4cD7Pw9U6km4niVmVPe21q1eDWXs8aVNhtGZt8x7LyszEjm3bpJPJEdXG9evdIjMRr40ORAyt4n3JNITpz9Md1im2Zo27R6k9ThitWm3vCt7JnGNc67aSBIBhJ2/evPGYm1CF0Votl6LBDujTJ0+wIT5eEmJwnn7Xjp2WjU+0rQFeH605jLdsGhOLZo1jwVSR/Ew36xNQYbRQHfKm48ixSUwswgKDQYcc9lg5qnT3TYXROjVM0aCHJvMIjx45CrV/r4G41m1wNTHRrvAoK1wpRf/Z06eIiW6I2IaNcO7MWXz88NEKRdcy2kFAhdEOSGbZ5Y/PX5IA3L93X+ZBvWrUEnHkyNHdNxVG69QwndO45ihjcZkhasjAQbJ2KefeKJrusNFBj6kjuUTdujVrxCnPXa7NHeqnstegwlhZgi7+PW8+PmDoKEQnobCgYPFWdfc5RxVGFze0CpyOlgt20vbs2o2mMY0RFR6BZUuWSNC+O4kGvde5tByXw2KqSI4cdXMvAiqMFq1PiiMdhGhWZRYew6zqrhlyVBjN3VBpOuWiwqtXrpLOGkXj5ImTX60+Y+4rKLt0FPdPH7lQwGURfXqkcw6VZlXd3IuACqNF69MYOXLOkeEkPnXqYu2q1V9l4rHopRVbbBXGYrGY4kO2ReYhHjlsOGr+Vh1dO3UWz27mQXWn+W+ZN338BI2jG6JBRKTEK74rKHAb87ApGpNJCqHCaJKKqEgx+EB6/+69JCxnhpwAHz8xq7rjqhwqjBVpIc79DUWPlgsu5datcxdpf9OnTpVFo+lFzfbpLhuvhRmvRg4bIbHOHBnn5ua6lfC7S1054jpUGB1BsYqPwYcQYy8lQ46fe2bIUWGs4kZW5PQ0HzKO98Tx42gY2QChAUEyn8g5Rnc052dnZcmarr/99AsmjZ/wTTrJInj0vxYnoMJo8Qo0is9QDq4t2Sy2qfTcaVZlomZ32VQYzVWTFMBVK1aK6ZQhC7t37rJsAnB7yHLxgfrBIWge2wSP0h7Z8xPdx8IEVBgtXHm2RadZS+Ick75kyGGGfzrkuIu3qgqjbW1X3XvOs6WmpmLYkKESitG7R09cu3oVOdnZVVcoJ56Z9xRTMnaIa4ew4BBZpJw5X3VzbwIqjG5WvzSrXkm4AmbI4XqO7pIhR4Wxahsq59i4LBQ9Mrk6TVhQCAYPGIiUlBRZbLhqS+ecs9MDlQsJMNUbr5cjZC5m7k4ORc4hZ/2jqjBavw6/uYKvMuQE/RXKYeUbWoXxm2p22QdsN/Qw3b9vv2R6qVurNpYvXSZzjO7kYFMUKEfBmzZsxK8//oypk6e4rcd30evW/wMqjG7YCv7KkHOvMEPOOppVLZwhR4WxahoqHWkyMzKxPv5LQDvNicePH0fG2wxJ70bRdMcXnYuOHjkqiyh3aBuHO8nJGq9YNU2wSs6qwlgl2J1/Uvbkv86QE4J4Jh5/bc30cSqMzm8zxZ2BSyrNmDYd1X/5VZaLYiJwrk4/c9p0zJ4x0y1fXH+V19yqeQtJnsE8qO7kyFZcPetnXxNQYfyah9v9z10y5KgwVk3TvHH9hqwzWuPX38SkSLOip7x869bDlk2bdcWMqml6VXpWFcYqxe/8kxsjR2bIoUOOj1ddWc8xMyPD+Sd34BlUGB0IsxyHokmRK7hwPVJPe3GUyI6lO8+jlqMpeNSuKoweUN28sf/KkNMJgb5+Yla1UoYcFUYPaKh6iUrAJARUGE1SEa4oBkM5kpOTCzPkcM4xMzPTEplKVBhd0UL0HEpACZCACqOHtQPJkJPMDDlNbDLk5Jmeggqj6atIC6gE3IaACqPbVKV9F0LXeiPOkes5+nh5Y0N8vOlDOVQY7atfK+/F+TwuAHz61GnJrNMwMgpdO3fG8WPHJNDeHXOwWrm+3LnsKozuXLulXBsDti9fuow2LVrJ+nkb4tfLenoUTjNuKoxmrBXHlikrMwuTJ0xCz67dMLBffzDdXL/efdCyWXPMnTMHXCDYrO3TsST0aFVNQIWxqmugCs/PHvqtm7cQ06ChJEjmyJF5IM348FFhrMKG4qJTUxh3bt8hK8XQqmF4VC9ftgzedbxw/tx58RJ1UXH0NB5MQIXRgyufAkhxZJLkdm3i4FWzNjZv3GTK1FcqjO7fUGkqZWgIE5UbIRL8e/LECYSHhEquUi7/pJsScDYBFUZnEzb58aVXXvBOeuPt28Qhqn4Edu3YKd6qZiq6CqOZasN1ZWH7PLBvPwJ9/UFzP2MpdVMCziagwuhswhY5PkM57t65I2bVyLBwSRhdkF9gGrOqCqNFGpIDi0lRzM3NxeyZs1CnRk1cS7ymplQH8tVDlUxAhbFkNh71jYwc/5xzbNOylYRy7Nm1xzTr7KkwelRzlIulSfX40WNo0igGQwYOEpFkO9VNCTibgAqjswlb6PjGnOPlS5fQqX0HWZh13569pphzVGG0UENyQFE5Ujx39pyIYs9u3XR1Cwcw1UPYT0CF0X5WHrMnQzlu376N2IYxsroAxZFr01Wlt6oKo8c0P/GMvpqYiLhWbcBYxjOnTsuSTzpa9Jw2UNVXqsJY1TVg0vMbSQAaN4xB/eBQ7Nm9B5xzrKpNhbGqyLv+vNeuXkWXjp2k3V26eEny/Lq+FHpGTyagwujJtV/KtXN0aIhjp3YdZM5x/979VeatqsJYSmW5yVeMoaUotm7eQoL6GbeYl5tXpZYKN0Grl1FOAiqM5QTmabvTrMpeOx1yIuuHY/fOXSKOrjarqjC6d8tjDOP9+/fRvk1bmduOX7sOaampePr0KZ4/e4b09HS8ef1avVLduxmY5upUGE1TFeYtiG2GnAYRkdi/dx8omK4URxVG87YPR5SM7Wn3rt3499//KQsj9+3VWzxR6Y3K17DBQzB39mw8ffLEEafTYyiBUgmoMJaKR78kAQrglww5d8AkAN61vbBv7z6XmlVVGN27LbKNFeTn48WLF5KzNzs7+6uFkemlSlPrp48f3RuEXp0pCKgwmqIazF8IiXM0MuS0jUOD8MhCs6orSq/C6ArKeg4loARIQIVR20G5CBTNkMN0Xezpf/7k3FU5VBjLVU26sxJQApUgoMJYCXie+NOvMuS0aCU5LBnK4ewcliqMntja9JqVQNUQUGGsGu6WPqsx58j1HBnKERYcgn179jk1Q44Ko6WbjBZeCViKgAqjparLXIWVDDm3biG20V8Zcug04QxvVRVGc9W9lkYJuDMBFUZ3rl0XXNuXJAC30Ti6kWQq2csMOQWOz5CjwuiCytRTKAElIARUGLUhVIoAR4dGhpyOf2bIoUNOZmZmpY5b9McqjEWJ6P+VgBJwFgEVRmeR9bDjcpRoZMiJ+jNDTlZmVuFK7JXFocJYWYL6eyWgBOwloMJoLyndr0wCXzLk3JTMJdERUTh04KDDMuSoMJaJX3dQAkrAQQRUGB0EUg/zZ4acgndITkqSJYO8a9fBoQMHkJWVVWk8KoyVRqgHUAJKwE4CKox2gtLd7CPAOEeaVc+dOSviyJHjvj17Kj3nqMJoH3/dSwkogcoTUGGsPEM9QjEEKI53kpPBpOORYfVx+ODBLxlyPlcsQ44KYzGQ9SMloAScQkCF0SlY9aDGyDHh8mXENIhGgI8vDuzbh9ycnArBUWGsEDb9kRJQAhUgoMJYAWj6E/sIyIoJBQU4c/o0mjaORVhgMA4eOFAhs6oKo33MdS8loAQqT0CFsfIM9QhlEMjLy8PVxESEBYUgJCAQB/bvl9yq5cmQo8JYBmT9WgkoAYcRUGF0GEo9UGkEGMpxJSFBhDEsKFjMquXJkKPCWBpd/U4JKAFHElBhdCRNPVaJBDg6fFdQgOvXrqNpTGP4efvg8MFDyLIzQ44KY4lo9QsloAQcTECF0cFA9XClE6BZ9dTJk2gc3RCRYeFgblXGOdJZp7RNhbE0OvqdElACjiSgwuhImnosuwjQhEpv1UBfPzQIj/wSylFQUOqqHCqMdqHVnZSAEnAAARVGB0DUQ5SPAM2q+fn5uHH9Opo0ioFXzVplZshRYSwfY91bCSiBihNQYaw4O/1lJQjQdEpxPH70mIhjg/CIUjPkqDBWArb+VAkogXIRUGEsFy7d2dEEKI63bt4Us2pEaFiJGXJUGB1NXo+nBJRASQRUGEsio5+7hIBkyMnPR8Kly2gUxQw5fl8y5OTmfnV+FcavcOh/lIAScCIBFUYnwtVD20eguAw5XJXDdrFjFUb7WOpeSkAJVJ6ACmPlGeoRHESAoRyJV66gfvC3GXJUGB0EWQ+jBJRAmQRUGMtEpDu4koCRISfYP0BSyDF9HBMDqDC6shb0XErAswmoMHp2/Zvu6o0MOQzl+JIhpx4OHzqExQsXFWbL4chSNyWgBJSAswioMDqLrB63UgRsM+RE1Q9H+7ZxqFuzNg4dPAQVxkqh1R8rASVQBgEVxjIA6ddVR6CA3qp/Zsj51//+Hb/+9AsOHTiowlh1VaJnVgIeQUCF0SOq2ZoXaWTIuX7tmqSOq/5LNRw5fEQSA1jzirTUSkAJWIGACqMVasmDy2hkyDl96jQWzl+AR48e4ePHjx5MRC9dCSgBZxNQYXQ2YT2+QwhQIDmC1E0JKAEl4GwCKozOJqzHVwJKQAkoAUsRUGG0VHVpYZWAElACSsDZBFQYnU1Yj68ElIASUAKWIqDCaKnq0sIqASWgBJSAswmoMDqbsB5fCSgBJaAELEVAhdFS1aWFVQJKQAkoAWcTUGF0NmE9vhJQAkpACViKgAqjpapLC6sElIASUALOJqDC6GzCenwloASUgBKwFAEVRktVlxZWCSgBJaAEnE1AhdHZhPX4SkAJKAElYCkCKoyWqi4trBJQAkpACTibgAqjswnr8ZWAElACSsBSBFQYLVVdWlgloASUgBJwNgEVRmcT1uMrASWgBJSApQioMFqqurSwSkAJKAEl4GwCKozOJqzHVwJKQAkoAUsRUGG0VHVpYZWAElACSsDZBFQYnU1Yj68ElIASUAKWIqDCaKnq0sIqASWgBJSA969eNAAAIABJREFUswmoMDqbsB5fCSgBJaAELEVAhdFS1aWFVQJKQAkoAWcTUGF0NmE9vhJQAkpACViKgAqjpapLC6sElIASUALOJqDC6GzCenwloASUgBKwFAEVRktVlxZWCSgBJaAEnE1AhdHZhPX4SkAJKAElYCkCKoyWqi4trBJQAkpACTibgAqjswnr8ZWAElACSqBUAn/88Qc+fvyIC+fPY9uWrcjMzMSnT59K/Y0zv1RhdCZdPbYSUAJKQAmUSeDDhw9ISUlBi6bN0CA8Erdu3gQ/q6pNhbGqyOt5lYASUAJKQAi8ffsWwwYPwY///h5BfgFIvHIF7969qzI6KoxVhl5PrASUgBJQAhlv3yJ+3Tp41aiFOr/XRP3gUFxJUGHUlqEElIASUAIeRoDzihwVHjl8BCEBQWjfJg5dOnQSU6oKo4c1Br1cJaAElIASgDjbpKakoG2r1qhbuw6uJiZi4rjxaBjZQEeM2kCUgBJQAkrAswjQ4zQjIwMD+/VHSEAg9uzajfz8fEydPEWF0bOagl6tElACSkAJkMCbN2+wasVK1KvjhelTp+H1q9egaZXvdcSobUQJKAEloAQ8igDjFY8cOowgP3+0bxuHu3fuFF6/CmMhCn2jBJSAElACnkDg8+fPuHv3rgiifz0fJCclfRWWocLoCa1Ar1EJKAEloASEAAP2X758ib69e6NBeAS2bdmCvLw8MaEaiFQYDRL6VwkoASWgBNyaAOcP6WyzfOlSeNeugwnjxiM7KwscQdpuKoy2NPS9ElACSkAJuC2B9+/f4+iRo/CqWQvdu3RFysOHX40UjQtXYTRI6F8loASUgBJwWwIcLV6/dg2tmrdAo6gGuHnjBgryC4q9XhXGYrHoh0pACSgBJeAuBOiB+uLFC/Tu0ROhQcHYvnUbcnJySrw8FcYS0egXSkAJKAEl4A4EsrKyMH/uPPjVrYcJY8fJihkcQZa0qTCWREY/VwJKQAkoAcsTyM3Nxflz51GnRi3JcPPk8ZNi5xVtL1SF0ZaGvlcCSkAJKAG3IMARIU2oTATeJKYxGjWIxpWEBNABp6xNhbEsQvq9ElACSkAJWI4A86Cmp6fLKJHLSO3buxfZ2dl2XYcKo12YdCcloASUgBKwEgEG7c+bPQfB/oGYOWMGaFKlWNqzqTDaQ0n3UQJKQAkoAcsQ4MiQI0Q/bx8MHTQYT588/SaIv7SLUWEsjY5+pwSUgBJQApYiwJRvly9dQmyjGERHRCHhcgL+KJLZpqwLUmEsi5B+rwSUgBJQApYgQIeb9OfPMbj/QHjVqIUjhw9LHtTyFl6FsbzEdH8loASUgBIwHQHOH+bl5mLS+AkICwrB4oWLkJmZafe8ou0FqTDa0tD3SkAJKAElYEkCnFfcvXMn/LzroX+ffjKvyHCNimwqjBWhpr9RAkpACSgB0xDg6hjXrl5FaGAwmjWORcLly5UqmwpjpfDpj5WAElACSqCqCTx+/Bg9u3aDV83aIooM1ajMpsJYGXr6WyWgBJSAEqgyApxXfPPmDaZMnISQgCAsnDdf1lusbIFUGCtLUH+vBJSAElACLidAD9TcnBzs3LEDwf4B6NOzFzLevq2Qs03RwqswFiWi/1cCSkAJKAHTE3j/7h3uJCcjwMcPrVu0xIMHDySIv7RVM+y9KBVGe0npfkpACSgBJWAKAhS/5KRkdOvcBWHBITh65GiF4hVLuhgVxpLI6OdKQAkoASVgOgL0QGV84uSJE+Fduw6WLlmCt2/fOrScKowOxakHUwJKQAkoAWcSKCgowKaNGxEaGIS+vXojJzu7XHlQ7SmbCqM9lHQfJaAElIASqHICDMO4cP4CwoKD0a1zV9y7e9chzjZFL0yFsSgR/b8SUAJKQAmYjgCz2Ny9cwcd49qhfkgoDh869GXR4T8cX1QVRscz1SMqASWgBJSAAwnQ2YYp3yZPnIRqP/yEDfHrkZWV5cAzfH0oFcaveej/lIASUAJKwEQEKIpcSmrt6jUICQjE2FGj8fr1a1Q0D6o9l6bCaA8l3UcJKAEloASqhADnFc+dPYuQwCB06dBRYhcplM7cVBidSVePrQSUgBJQAhUmwJRvD+4/QIe2cQj09cORw0fgiAD+sgqkwlgWIf1eCSgBJaAEqoRAeno6pk6ejOq/VMPWLVtkntEVBVFhdAVlPYcSUAJKQAnYTYBB/Pn5+Vi+dJmYUMeOHoOXL186JTSjuEKpMBZHRT9TAkpACSiBKiFAU2lBfj7OnzuHBuERiG0Ug8ePHn8JzXBRiVQYXQRaT6MElIASUAJlE+C8YlpqGprGNEZMg4Y4dfKUw5KDl332L3uoMNpLSvdTAkpACSgBpxN49uwZhg4aAt+69bBty1ZkZ2U7/ZxFT6DCWJSI/l8JKAEloARcToDzigziX7lsOfzr+WL0yFFIf57u8nLwhCqMVYJdT6oElIASUAK2BN6/f4+Tx48jOiISzZs0A0eONKtWxabCWBXU9ZxKQAkoASVQSICi+OTxY0SGhaNp4ya4cf2GZLtxRcxiYSFs3qgw2sDQt0pACSgBJWAfAWafOXzwEPbs3i1/+Z6v40ePyaoX9manoQk1LS0NI4YOQ4CPHzau34Dc3FyXBPKXdKUqjCWR0c+VgBJQAkqgRAI5OTkI8PFFm5atMGvGzMLXogULcfrkKTCVmz1bXl4uVi5fjlrVa2DKpMl4/vy5PT9z6j4qjE7FqwdXAkpACbgfAZo4szIz4VWzNpYuXgyKpPHKy83Du3fv7Fo8mMc5cfw4IkLro0NcO7xIf+HU5OD21oQKo72kdD8loASUgBIQAnSKeZSWBh8vb2zasLFCVAoKCnDr5i00bRyLFk2a4tKFiyKoFTqYg3+kwuhgoHo4JaAElIC7E/jw/j1u37oF/3o+2LRx41+jxbw8uzLUUFifPHmCQQMGSrzihvj4KnW2KVpfKoxFiej/lYASUAJKoFQCHO2dOX0a9ep4YeSw4Vi/bh3i167Drp07cePGjVJ/yy8Zr7h65Sr8+N33mD9nLjLeZgB//FHm71y1gwqjq0jreZSAElACbkKAiwQzvGL82HGYP3cutm/dhjWrVqNLx05o16atjCIpfkU3zinyt7t37pR5xV7de0geVHs9WIsez1n/V2F0Flk9rhJQAkrATQkYAvf27VtkZmZKeEVWVhaSkpIwsF8/BAcE4uHDh9844NAphzGKzZs0RePohki4fBkF+QWmo6TCaLoq0QIpASWgBKxJgIJ5JSEBP33/Hxw+dPgrZxp+9+bNG/To0g0hAUHYvnWraS+yvMLIa3PG9l/OOKgeUwkoASWgBFxL4OaNG6j5a3Xs3rkLnIs0ttevX2Ph/AWoUe03rFi2HBkZGcZXpvtbHmHkiJc5XWk6drRJWIXRdE1DC6QElIASKJ7A50+fRASYtcZ2Y1D/8WPHRBgvX7pU6Gman5eHHdu2i4m1b6/eePjgWzOr7XGq+r29wsjrPXvmDDq274BVK1aKd64jy67C6EiaeiwloASUgBMJvH/3DlcTE/Hy5cvCUI3cnFzcuH4dPbt1Ewec58++ZLDhKOpOcjJaNm2GkIBA3Llzx66QDicWv8xD2yOMNJ/ev3dfMv98/8/vMGbUaHBU7MhNhdGRNPVYSkAJKAEnEmAu0+VLl8lCwo2iGiAmupG8uDJG7x49cSf5i/gxXvHVy5firRoRGoajR47KvKOz5uQcdcllCePnT1+WyGJ+VyY+pzPRpAkTVRgdVQF6HCWgBJSA1QhwNQwuC3X0yBGJX1yxbBnWrl4j/3+U9ggfP3yUJOAvXrzA7Jmz4Oftg/lz54FerEXNr2a89rKEMSc7GxvWr0dc6zZYuXwFOnfoiCkTJ6swmrEytUxKQAkoAbMQyM/Px749eyXRePeu3WQFDbOUraxylCaMDDl58OAB6oeEYv26eFy7ehWd2neQBOhqSi2LrH6vBJSAEvBQAjSVJl65glbNW4Am1Af37zvcY9OZaEsTxvv37qFf7z5gcoKUlBSkPHyowujMytBjKwEloASsToB5VJ89fYoOcXGIjojCgX37ZQkqs88r2nIvThhpAmYyg3lz5iKqfjgSE66Ao+LU1FQVRlt4+l4JKAEloAT+IkDxePXqFWbNmAG/ej4yv5iTnWOJecW/rgIoThhpQj129ChiGzbC4oULJVkBYxeTbt+Wucaxo8ZIYnTb2E3bY1bkvXqlVoSa/kYJKAElYCICFIV9e/ag+s/VMGzwEBEKExXP7qIUJ4zZWdmgB26jqGjxyN2yeTO2btkCLswcHhImISqcc7x5/brd5ylrRxXGsgjp90pACSgBkxO4dPEiIuuHo0lMY5lXpPeqFbfihJFm00YNohEVHoHYhjFoHttUwjS4yPJvP1cTz9umMbHYunmLwy5ZhdFhKPVASkAJKAHXEmAQP+faunXugvDQMBzcf0ASi7u2FI47W3HC+PHDBzx98lSuk9dqvM6fO4/mTZphUP8BSE5KwquXrxxWEBVGh6HUAykBJaAEXEeA84rMezp9ylQE+vhhwbx5hangXFcKx56pOGEs6QxpaWno2qkzpk2ZKvOOJe1Xkc9VGCtCTX+jBJSAEqhiApx727d3L36v9itGjxwpzjdW8kAtDl95hJEJxMeNHiOJ0bOzsoo7XIU/U2GsMDr9oRJQAkrA9QQofjShnjpxEg0jG6Btq9ay1qKjV5hw/ZUV75VaUjm4ugZjGdOfP3d4DlgVxpKo6+dKQAkoARMS+PjxIx49eiSB7t616uD0qdOWnle0RVyeEaPt7xz9XoXR0UT1eEpACSgBJxHgaJExfKNHjEJoYBCWLVkiay9a3YRq4FJhNEjoXyWgBJSAErCLQGZGhiQP961bDxPGjQeThVshObhdF4fymVLtPWZF9tMRY0Wo6W+UgBJQAi4mwCD+0ydPoWFklORCvXnjpqyk4eJiOPV0OmJ0Kl49uBJQAkrAfQjQVPooLQ3dOnVGvTpeuHj+gqyv6D5X+OVKVBjdrUb1epSAElACTiDARYfzcnPRv28/hAQEYcvGTTLP6E4mVAObCqNBQv8qASWgBJRAsQQ4UmQQ/7o1axDo64fRI0fJvCI9Ux21UWBzc3NlBQuey3hlZWXJ6hwUZldtKoyuIq3nUQJKQAlYlABznl6+eElWzOjQNg5JSUkOvxLGP+7asUOSci+cP1/+MkH3sqVLcWD/frx+9UoEkvs52/tVhdHh1asHVAJKQAm4F4E7yXfQtlUbBPj44fr1606ZV8zLywNFlzGRXNy4cXRDWeIpqn4EvGrWRq3qv2NAv/5IuJyA9+/eORWwCqNT8erBlYASUALWJUBTKTO6jBg2XOYV49euQ1ZmplNGbLk5OWjRtBkiw+rL0lUJly8j8coVXDh/Hls2bcaEseNkZYsmjRrj0MGDMr/pLLIqjM4iq8dVAkpACViYAOf8mPszft06BPkFYPDAQTIH6Ky5PkMYWzRpigf3H8D2PDLH+fYttm3ZCsZOxjSIxpWEBKcINKtMhdHCDVeLrgSUgBJwFgGuWH/50mUxY3bv2g1pqWlOEyJeQ2nCyO8pjq9evcLM6TPwyw8/yioezlrvUYXRWa1Kj6sElIASsCgBjhavXbuG1i1aIjoyCmdOn5aUb868nLKEkeemEN6+fRvVfvgJPbt1w0snZdxRYXRmTeuxlYASUAIWI0ATZnp6uoRk+HrXw7q1a8EUcM7e7BFGjhozMzMREhCIxg0b4eHDh1+ZXB1VRhVGR5HU4ygBJaAE3IAAU74xRCI4IBBjR42WeUVnh0cQmz3CyP1ycnLQNCYW9FZNTk5WYXSDNqeXoASUgBIwLQEG2J86dQredbzQp1cvPH782CnCUxwAu4UxOxuxjWIkV+u9u3edUj4dMRZXQ/qZElACSsDDCDBw/trVa2jTshUaNYiWBYhdEUxvYLZHGDn3+frVa9DE27JZczxKe+SUVT1UGI1a0b9OJcB5C06c00zzruCdBAjT662iLx7rkwPTUTn14vXgSsDkBGgqffP6NUaPHInqv1TD/n37nRonWBwOe4SRz4+LFy7i5//8gIH9+uPNmzdO8ZRVYSyuhvQzhxPIePsWSxYuQvfOXWXF7z49e6Eyr6GDBosrOXuQuikBJVBxAhRFdjSZfi3Izx/Tp0yTPKWuvrfsEcYnjx+jf5+++L3ab1i7eg0cmavVlqAKoy0Nfe80Ag8ePEC/3n3AOYGnT5/i2bNn8uISNvfu3sOtmzeRnJSElJSUr7+7dw9c763oi7/Lzsp2Sm/RaRD0wErAhATozLJ/3z6EBYegd4+e4ulJE6qrt+KE0RBteqLev3cPk8ZPQL06ddGtc1fcu3fPaUVUYXQaWj2wQYA9z6NHjmD+3Lkw5izYQ3379q3chDu2bcfcWXOwbMlSEUbjd8y6sWH9ekybMg2zZszCnFmzC19nTp9xyqS7cW79qwQ8gQDvw7t37qBJoxjUDw3F5cuXq6yzaQhjw8gGuHTxEp48foKnT57iauJVLFm0GE1iGkvWmyYxMbh//75T4ypVGD2h9VfhNbLHl5+fj/i1a3H2zBkRRgolR5A0icREN0TPrt0xesRITBw3HsyPaGyPHz2WAGO6ZtN0yn2M15HDh1UYDVD6VwlUkMDjR48wYugwVP+5Gg4dOICCgvwKHqnyPzOE8bu//QN/+7//jX/89//K64d//RsB9XzRvm0clixeLBYlmlD5bHHWZmlh5AOWk7EvX74UmzgfwJ8/fXYqMGdVhLsel043Dx88xJpVq/H0yRMRM5pShw0egs4dOkpGDXqWMdXT69evZSFUgwVNrLENY7B44SJJR8V9jBcz8TvzxjDKoH+VgDsS4HOSJtQZU6dJHtTZM2fJ/efqeUVbthS7q4mJOHHsOI4ePlL44v+vXE7AwwcP5DnvbFFkmSwtjBTFSxcvYkDfvpg6aTLWr1snULlu2LWrV3H71m2B+ezpU7x5/UayN2RnZ8uaXu/fvZeHtD5cbZtmxd6T4ccPH4UrBYtiaHCl6fT40WPYuH6DdGJ4461fF48G4RE4sG+fBPWWdNYrCVfATPrbt24rdb+Sfq+fKwEl8C0B3pt5uXk4uP+ABMl3at8Bz589F2vOt3t75ieWFka6F48bMxb/+ed3qPlbdfzw3b/xv//3/8OP332P2tVrSOYGLmPSt1dvMdMtnL9AHsoHDxzA9WvX8OrlK/HG4oPcePHBbbz++PyHPOCNh7xnNpGyr5rsuDTNvr37sGfXbnnPz7gxHGPalKk4c+q0sOScRp9evSWdE0WUvT9b9rasTxw7IfvxBs7Jzi7cj/vY7ld2CXUPJaAEDAK85+gEFxFaX2IBubSTbl8TsLwwThw3QSr49MlTSHn4UAJUjx05ik0bNmLmtOno3b2HZElg+qDwkDBZUyzAxxf16njBu3YdMSM0j22KXt27Y8rESdi8cZOsVM2Gk5qaimdPn+HtmzcyT0bzg27fEmBHgl5jXEB0Q3w8tmzcJGYa3oAv0tPRt3fvwgwaNKNyrqBH127g4qd0uBk+ZCjmz5krNytH9Ma2b89ehPgHYkDffhjYfwCGDxmG1StXSb3QDKSbElAC5SeQlpqKLh07gc/BA/v3i6Wn/Edx719YWhg5JzVpwkQ0iorGneRkGUVw9MFRCidy6fXIkUxqSipuXL+Bs6fPgA/bVctXYPLESRjUfwB6d++Jrp06o12btmgW20TSDDWIiJRcfPyMD3A+uCmya1atwtYtW7Bv714x2dLU9+D+faQ/T5e5L8bq8YH9rqDgK3OiezehL8vBkDtN25wXZAeDdUMWu3fuwqaNG0U4aVZNun1bvMviWrfBuNFj/nyNFfHj6P7Avv3Iz8uXurx14ybGjhqDUcNHYvyYsRgzcpTEPrZs2gw7t+/QcA13b1h6fQ4lwA4sO/lzZ8+Bn7cP5s6eLf4ZDj2JmxzMrYSxvHXCEU1Odg5epL8QgeMEL8MKuFr04gWLMHHseBHGyPrh+L3ar/jx399LVoi6tb6MNJk2qV3rtvKw5kN+3py52Lxxo3hf0qGEGek5AqJAMAchnYMoHu/fvcOH9x8KzYjuZBbkMjDjx47FkydPwLndMaNGidMNWdOMyrlfzi8G+QeI401WZpZ8zv17de8hnRR6ylFoeSMbmXHIiB0OWgXozdq0cSySkpLw6eMXk2156173VwKeRID3D589B/fvR2RYfXTr1BmvX72S+8yTONh7rR4tjGwsfPjyIWw8uNl48vPyRMgoaIylo8DRG5JeUVy4k6Oa5UuWYtTw4eJZ2bp5S4kDigytDz/vepKV4Zf//Ig6v9dEeGgY2rRoJeEGixcuxP69+3D2zFkkXkkUUyLFg+dhOdxhY0dg9YqVOH/2HC5fuoQpkybJ/CBZUxhvXL8uI3OO/thB4HXLTZvPm/aAzClyZW4683Djd3wZ71k/F86fF2HcvGmzOgwIGf1HCZROgB1MJtAI9PGT59HdO3flHjPurdJ/7XnferQwlqe62YAooHy402mEc2qvXr6UkRHNh0y+S1Pt3t17sG7NWiyYOw9TJ0/BmBGjJOMLzbKNoxuCZlqGINBsGNeqjYyQOH9GUyFdplcsWy5emKdOnpIREYNcuTYaTZNZWVmFnp1mbdC8ASl+E8dPEEenrZs3S0eDrJnblLGJ7dvEYcLYcV/hJ1cuhsqs+efPnStR8GiOTUxMlETHTAnF3+mmBJRAyQTY+bx/7z769OiFsMBgcZCj9cqsz5CSr8R136gwOoG1IaIF+QUioDTVMtXZrVu3cPrUaWzbshUL5s2XOU4utknTbK3ffodXjVqS7ijAxw/1g0LADBBcQbtvz94YP3aciCbje5gaiSnV6NjCGE4m0jXMtobJlgJFEXH1SJTXzvP27NYdgwYMFNOpIV78jgnEBw8YiLhWraXM3JcdDo6aN8RvQKvmLSTMxhjB8zqMUaXsl50DBvczMQA7D/y9bkpACZRMgM8G5kGtVb0GlixcLKFrJe+t35CACqMT2wGFgC8+2PkyTLZ86POBzhdFg6JAoaNjCr1rxaN2+gwJgue8W7vWbcQpyLu2F3747nv883/+hmo//ixmW85zdu/STUZoK1eswLat23D44CFcunARD+4/kFFmVYjj6lWrZAXw4szEhw4cRGzDRpg9Y6aMuLkPzacxDRpi1PAR4jTFMtONnKPHjIwMYZeVmYnTp06J886g/gPx8sVLlwu/E5uLHloJOJwAnz/0tA8JCELvnr2kE+3q54HDL8oFBzS1MLJSaUKk1ycfnhQW262oV6rtd1Z6z+vktX14/14cdDhPR4/aFy9eSJgDBY5Jtpk/8MTx49i1cyfWrlkjIQ4UEmaQaRzdCA3CI0VAOdJsGNVAhKZ5k6bo2K69LNFC8+bypctkjvT6tetITUkRxxieJzMjExzhOuqmYY5DzgUWdzwK3aGDh8RlvGe3Hujbqw86xLWXjgCTMrDDQCZrV69Gh7h2ktiYIRuMR6VJesLY8TKqZKeC++mmBJTAtwRoLmUClOiISLRt1VosVob15tu99RNbAqYURj5MWamcu2MAP82JnH+is4bt5i7CaHtNZb03RJROKHQMolMQV9lm3CVvAjqwrFuzBpMnTES3Ll1ldBUdGYWo8AhEhoVLzCcDeznX2bxJM3Tt2BlDBg7CzOkzJDvNyRMnxcHo+vXrEgJD8Xz+/Lm4eXNelR0U1g3FS0SvBF3iqLhoR8a4Nl4DTb7JScnYvXM3tm7ZKiNBXgtNp8bGOdyES5ewa8dObNq4SUI0Ei5dll6v3uAGJf2rBL4lwPuT9y7DzcKCQmRekfekdiS/ZVXcJ6YURj706P1JQQwLCkagr5+Mcuj0Yrt5mjCyUfNFQbJ9ldbYKTQUHE6+UzjpFbt21WoRQgbMUxhpwqxbsza+/8e/8Pf//h/88sOP8PGqK2LKcBQuCMrYxKVLloip9tTJkyKaGW8zvgo7oRDyVbRspZXPtj71vRJQAo4hwHnFuTNnSRawVStXSifaMUf2jKOYUhjp6t+qWXMJ/uZDnGZBhkh4sjBSXOiVSi9VLhPD0RZHiYyXpGmypBEUfydm2g8fxPGFDGmq5Y1Dpx0673BEyOMy2TdXt2ACg5XLV4rDT9eOnUQ4GfvEnmeQXwD86taDd6064jTEjkvbVm1k1Mk4Tgb0c5kYLgvDeETOA7LcFGgVSM94qOhVVh0B3mMcLW6IXy+hGUMHDylcjaLqSmW9M5tSGJmthm7+jPHjAppch8tThZHmDwrL8WPHJOco5wu5DBOdbhj2wTk4LtfEOcjKbrypeD6aSnlOjsiZEo/xm3SEYTJwetRytQt6yXLej6YaJiFu07K1lCs6Igo03XJus1P7jujfp590cLgWY/zadWIOPXzoEM6dPYubN26A6ak4x0mRZrA/hZsiL2bayl6Q/l4JeBiBL3G+F9A8tomEhPG5wM90Kx8BUwqj7SUw7ylXWPBEYaRQcV6PTigM4WDygJHDRkhmHsZLUmiYLq1JTKwE09tyc/Z7lo0CxtEqR5vMQnPx/AXxiGW+VC4qzKWl2rRsJaZwetH+/P0PEpbCdFQRoWES6N+JjkH9+0vM58rlKyQR+dWrV8Xhil6oHN0yvR8Fk4LNkSfPy14xRZwCyrLopgQ8nQDvB8Y800EtIiQM7IDqvVGxVqHCWDFuzv/VnyYRLrnkU6eujMDogESHGwoEXxQLOsPwVZIp1ZkF5U1HYTJMtVzKi73TwsxB2Tky8qR48oZNup2EUydOYsvGzZgzaxYGDRggI94WTZpJzCZdyhnT+dtPv6DaDz/Bt663hHV8CUcZjzWrV8vNzhAOJhHgYsdMQUcW+gBwZk3rsa1AgJY2JhVhvCI7zbk5uVYotinLaHlh5Ooa9LY8f+68BLwz6N2eFx+oFBY+1M24ff70CU8ePwbn+Lxq1sKxo8cktZoZy2pPmSig7NFSOJmf1gjH0+0tAAAQH0lEQVRHeZSWJvGbXEOT1oEd27Zh9cqVMuKkiXjooCHo0aUbWjdvIXPNNNXSgsA0fDQj9+zaTeY3uS+zDTHrEBPFM1SEc7BcHJmmWp7P6ECoiNpTY7qPVQiwPbNtr4+PR6CfP0YMG45Hjx7pdMSfKSX5jOezpzwvdjAY9saFImw95V3dJv6rpBOWZUplTBuzxnCuiysx2PMaPWIkRg0bITGBZrW/01R49PBhWRqmd4+e0vvzlAc6r5PXz5AOLjDNmEiuYsLYS2a9ofhxYWrWORO816lRS3rJdWvVhm/deuIgxCXGGkU1ELPSkAFfwlE2bdggeWqZhYgORxRMeuxSNCUUhYtY5+ZJPCdH4LyRPIV5Sfeffm5uAmyfbKtcX5ZZtDhFQVGsCguS2UiRDa1JnOq5f/c+Ht5/aPeLKyoxLtyywsigdTaG48eOIy01za7X3eQ72Lp5i2SEoJOJGTc2bC6pxaS/HEVVZa+lqviwYfNlmGtte34UTr7IiXWYlpYmidmZVYfLg02dPFlSz3FJMZpq6weHoFb13yUk5V//+3fU+PU3hAYGo2WzFuJENH3qVKxZtVpiJk8ePyEPGo7YaVVgGXRTAmYkwHuCa5yyjXP5PTq18b7QDdKxTU5OxrjRYzFt8hTMmz1HVkCi93xZLzo4Mt7bssI4afxEGfLevnVLssVzVYayXnyQcnkprs5AT0gzbhTCbp26yMOb4SvaAyy5lihcHN2RGYWM9ct15zivScHkSgIcbV68cEG8ezlvy2Tt06dMFfGkswJHl1wOi6ZamlD4kGEPnA8cLurKHuSs6TOxft06OQbbGz1qmcrv9avX4iTEOlIRLbme9BvHE3j+7BnGjh6NgHq+WLVipbRDbYNfOLODQL+GdWvWyeLm9HyndcieF73uLT1itF2o2N5mx4fnieMnxLvTtMJYUIA2LVoiIqy+JDvg+o26VZ4AHxq8YdgG6BTE+WjOc3JJnjOnz0g4CRMtjx45UsJQuNoHRZOCyRslqn64zGk3jIwSj9s+PXuJ+X7R/AXyWx6DsaBcGJvxprRi8By8GSnYNA/TfP/xz7R3lb8iPYKnEsjJzpZnGKcP6AHOKQfd/iJgCOOWzVvk/itPh8H0zjeMneOitEx1Rm9H262imW+sIYzvJMdpaGAQLpy/oCNG24p34XuKGOciOeqkg9ee3bulZ84bh45Bndt3FNGs9XsN/Otvf8c///dv+O3navCv5yOxpp3adZC1OLk/w1GY55YWACZToMMEb16OdmkS44tOVzQd88Ub2Xi58JL1VBYgwHZBL3WuMtMstomkhWSb0e0vAm4tjAwsp5PFuTNnvhEHtxbGd+8wesQo+NfzlYepJ84x/tXEq+4dH0AULN5kFEk65zC2kqNNI3MQ3eSfPHki2X4YSsLcrksWLcbI4SPE+YcJDzgPzjlNpjf08fKGV83a8K5dR5yHmLRh5PDhWLp4CThHysQHTKpApwHmi83Oypa2z7LopgRosqeDDU39zArGNse2qe3j67bh1sLIXjUfQnm5ud+EVrizMLJSORdGYaSZhBy04X/d8P//9s79OYvyiuP/S+u0iGJHBbkWKHKHeit3ECwIxBC5U6RVEOiMSYCQBIFiQkhowZAA0R+sQwXkEpQEWjsTRKshATJyKRCKTsUp2tP5HPIKY0jYxcr7vrvfndkh5N3Nu/t5nn3Os+c553tS7X/M2Gk3PBKJQtaki7jA+5Ejtvud3VZZUWHr166z3y9bbgvnL/BJ33PTM1wXGLct7lpct9SlZG0TnVqKWP9h3Xp7fesN5SAGww+PfegDJKlHrhx05bpyEG539ZVU6x3/n+thkkZENZH1wwcPsU0lJd7f9LbYmm+kDWPr273xmygbRh4A3HfI4ZGGcKzuurSTBrwb7Z/OP9GOzPLpwwQIId1FRCESiETH4npdtPAFe+bpia541OXBh13cneRtJkvk7k4aP8FLjlEdheOpgfnOrl2+vukatS3KQUyqMNaEruN54I2DQQMXbsJlm84s43TttOWOykqvx0qbU5JP260JyDD+aqRXe7g1nta/TYc1RgZOBrKiDRuse5euXk/tb0f/aqjLfHfjDUEzxu9SSf3/08a0GwaKhxijRU1M+idBOrhsCdjBY0L0a11dnUfEbivfZvl5q/2Nc/qUqTZx3ATXpx02aIiLQSC/1/Whzjao/wBfn587e7bnfZZv2erR2KxZ465tbGiwixcuyA2X+l3Fr5D+QjT98CFDberkZz3Skr6j7dYEZBgjaBhpah4EaqrlvpLtwRwIc1P+iXqLVOUm0R1NUvJzSE3QFl0CGFAedCZLGEzSUc6fO++DIy7V2ppa27N7j1Xt3GllpaW2pqDQhd55m5w5I8vfPFnrJJqWHC1KurG2OWfmLA8Oys3O/tZdu+vtt70oNqIK5MhRgeVyc7Mba6WkJKePwZ0UIdSeqK1K9DMTKG1tE5BhjKhhpMmZETIIbq+s9LcC5OGIeCSIAzFuAjmobtF0uqntHqJPYkWACRUDKW43XLUeGPRpvZcD+8uuXfbHss2Wk51tWZkz7LFhw613j17Wu3tP16lFqJ43T4KFxowYaRnTpvkaN9q2VLxBKB7Xb0I5iDdOT0VpKWLNYI2LmO9nOYBr0fb9CDAG0I4UEBgyYJBVbqsQ2wBIZRgjbBhpfwYXHg4GOsL83zt0yHfy5RLyT3KlBnhSYnYI/YadvoGRYqcfsTNosGPAcNU2NFyvxckaJ2+c5AezxjkjI9PTAXDfoRbU6d777IGO91ufnr1cGWRqSy3OVwsKPTjoz2+9ZYcOVntgEMYT97CM4/freARybd2yxbo+3Nny8/KMqjPabk9AhjHihjHRBRLrUczI2Rl0GOQ08CQI6d87IZDoV/Qn1jZZ1yTKFcOGug9CBWhxsjb57t69/uZYXFRkK7JzbOG8+R5BmxBAwFX7rXLQyNHuwp2V9bwte3mpu/wJHKmurva/yaSOVBe+i9JiDGTqyzdaEBZMXCgcjqQh8oZEOPPMa7s9gdgaRgSmqa5BfhiJ1zy8QfYjtUdaJMHyPAcoyDk6JhhbcYo2p79/8IHX/iSCdv++fYZrFtGC8q2v29rCNV7ZAdc+OpPdOz9ine7taPf9pIPd36GjPdTpZy5+wNsmSwGkp7D+uXzJUg8y4+/gDXFPyKlTPvG7/fAX3SMwgGh9IlnY7+d9bO+evb7me7n5smm/PYML/7zga+Vlm8p8gscELCi3lJeEa6/bs7axMneFPdjpAU9pYO0tyI6EUu8ePd01xBpdkHN0TDC24iROiT7AemWvbt1duP2nP7rHbrv/+B7r1KGj9Xikm2vYUvkkzm+QeIUWzJ1n3Tp3sRFPPmV5q/KssKBQe0AG+avzbclLi+35zCzLzc61wvyCwOwobcfkDoEZPCnJ2tosO9XeBeFmIBCAArbkcFHpPshO9QUCENj5Ocg5OiYYW3ESp0QfIB+T2ppI4ZWWlATayzZt8nNqa2vtq6vJG5DaG3fu1mcMyMi9De4/wCfvjw/7pVFOTXswBvCi+Dn7Y0OHh+I2uP9AY/2cmI5kuq7vyDAym+SiCUohhF27GKgPRKMPYBTiHlBGsFT9p/VeFQadXu13j0HN+4ft448+9jXeZPbDOzKMd2vmpu8RAREQAREQgbtNQIbxbhPX94mACIiACKQ0ARnGlG6e5F3cf1sUX0hwRpC7qanJiDZDASbOgRnJaxF9swi0TYAUCdJ9kDDkWUU56dLFi0rFaRtZu5/IMLaLJ54fYvjIqyN8P+eVbC8MjKj20sVL7L3qQ17BIpn+/3i2iu5aBFoT4Fn9+to1lyjcXFpmc2fN9vzW6c9OtRU5OZ63SoUkbeEIyDCG4xWLo5l9Uoz10T59bcmLL9mbVW949YllS152uTKikYlM1iYCIpBcAgQKnfnsM5s/Z64h6ICe8x7KrG2rcGECJAYP7N+f3ItMw2+XYUzDRvuhLxkprNWrVhk5RR8dP+5Rx0Qgk6JDncLxo8e4AtAPfR36+yIgAu0T4I2RSSrC86dOnnJ3Kt4enmHEz/v17mtr8gskEdg+xlafyjC2QqJf8FDlrVxlk8Y/7SWSSM1hZkq1B9ypY0eOlmFUNxGBFCbAUgdFEFA6okoQogWKDQjeYDKMwVnF5khmoAf27bdHe/f1JHEMItUb3qyqsqmTp9iWzX+SKzU2vUE3mi4EfL2xRbSeILmaw4e9gsvGouKkJsunC7+br1OG8WYa+tkJMNuk8kNFebkNHTjYnnr8CV/QR8WCMlz/unw59kng6ioikEoEeGbx9LD0QWHtkqIiGzdqtFEXtOn0ab0thmwsGcaQwOJwOG5TivFuLi319cTMaRlee3LEE09aycaNHgr+zdffxAGF7lEE0oIAhhHh898uXGS/mbfAC2Lj3aFsFrEBfK4tOAEZxuCsYnMki/c7tm+3oQMHWdWOndbY2GgnG09aSXGxjR05ylbm5GrNIja9QTeaDgRwoxIgV19fb5/84xN3o65ds8afYSa4WmMM14oyjOF4xeJodCInT5xkudnZdv78ebv2n+tFdr/4/AtbW/iqDezX344fP651xlj0Bt1kuhDgrZBAOdKt0Lwl+Gbx7160rIxMj1iVlyd4S8owBmcVmyNrD9fYmBGjvArKzVXLmZVW7dzphvHg/gP21dWrsWGiGxWBdCPw5b+/9JJPU575tZ04ccIjy9PtHpJ1vTKMySKfwt/LWgXFbPNX5dnZM2dcBg5XzOdXrlhJ8UYbMmCQHaur0xtjCrehLi0eBHhL5Nlk+YOdn3lbRO3m3LlzNjMzy9VwkIjTOmPwPiHDGJxVbI5Ec3HD+vU24Bf9rPi1Iqs+eNBqamo8GGfC2HEe6SbN1Nh0B91oChPACPJsFm94zRWqag7X2NEjR12pavnSpUZxeFRwklnbMIXxtXlpMoxtoonvB6xRMNvcXlHpknBZz2Ua+6KFL1hF+TZrOt0kt0x8u4fuPIUIYPAaGxps/dp1rkqVOT3Dn9X5c+ZYwerVVn2g2i5dvKR0jZBtJsMYElhcDk+4aM6ePWuNDY2+RoE7hsg3KWjEpRfoPlOdAM8iE9nm5mavqkHgHPJw5C5iEPlMz2v4VpRhDM9MZ4iACIiACESYgAxjhBtXtyYCIiACIhCegAxjeGY6QwREQAREIMIEZBgj3Li6NREQAREQgfAEZBjDM9MZIiACIiACESYgwxjhxtWtiYAIiIAIhCcgwxiemc4QAREQARGIMAEZxgg3rm5NBERABEQgPAEZxvDMdIYIiIAIiECECcgwRrhxdWsiIAIiIALhCcgwhmemM0RABERABCJMQIYxwo2rWxMBERABEQhPQIYxPDOdIQIiIAIiEGECMowRblzdmgiIgAiIQHgCMozhmekMERABERCBCBOQYYxw4+rWREAEREAEwhOQYQzPTGeIgAiIgAhEmIAMY4QbV7cmAiIgAiIQnoAMY3hmOkMEREAERCDCBGQYI9y4ujUREAEREIHwBP4HlkvvI2f58GsAAAAASUVORK5CYII=[/img]
Complete the tables for these three triangles:
What do you notice about the values in the table for Triangle E but not for Triangles D and F?
Complete the tables for these three more triangles:
What do you notice about the values in the table for Triangle Q but not for Triangles P and R?
What do Triangle E and Triangle Q have in common?
Find the missing side lengths. Be prepared to explain your reasoning.
If the four shaded triangles in the figure are congruent right triangles, does the inner quadrilateral have to be a square? Explain how you know.
[img]data:image/png;base64,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[/img]
For which triangles does [math]a^2+b^2=c^2[/math]?
IM 8.8.6 Practice: Finding Side Lengths of Triangles
Here is a diagram of an acute triangle and three squares.
[img]data:image/png;base64,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[/img][br][br]Priya says the area of the large unmarked square is 26 square units because [math]9+17=26[/math]. Do you agree? Explain your reasoning.
[math]m[/math], [math]p[/math][size=150] and [math]z[/math] represent the lengths of the three sides of this right triangle.[br][img]data:image/png;base64,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[/img][br][size=100]Select all the equations that represent the relationship between [math]m[/math], [math]p[/math], and [math]z[/math].[/size][/size]
Order the following expressions from least to greatest.
[size=150]Which is the best explanation for why [math]-\sqrt{10}[/math] is irrational?[/size]
[size=150]A teacher tells her students she is just over 1 and [math]\frac{1}{2}[/math] billion seconds old.[/size][br][br]Write her age in seconds using scientific notation.
What is a more reasonable unit of measurement for this situation?
[size=100]How old is she when you use a more reasonable unit of measurement?[/size]