[b][size=200]What is a Chord?[br][img]https://www.media4math.com/sites/default/files/library_asset/images/Definition--CircleConcepts--Chord.png[/img][br][br]Intersecting Chords Theorem[br][br][img]data:image/png;base64,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[/img][br][br][/size][/b]Click and drag points A, C, D, and B around the circle to demonstrate the intersecting chords theorem for any two intersecting chords in a circle.
Intersecting Chord Theorem
What is the value of n in the diagram below?[br][br][img]data:image/png;base64,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[/img]
[b]n = 8 cm[br][br][/b]4*6 = 3*n [math]\longrightarrow[/math] simplify[br]24 = 3n [math]\longrightarrow[/math] divide both sides by 3[br]8 = n
What is the value of n in the diagram below?[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATAAAAElCAYAAABj4L7bAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFXCSURBVHhe7Z0HgFNV9sbPzNCbgICgFFEQFFEUUWTFhg3BigXdteDqqmsvf9fFtsWy9rWLrIptBcSKIKKsCKIiYgNRQZqNIh2pA5P/+53kDZlMMpOZvCTvJefTkMxLJpO8d+93T/nuOQUhB2IwGAwBRGHk3mAwGAIHIzBDYGDOgiEWRmCGwKCgoCDyyGAIwwjMYDAEFkZgBoMhsLAspKFKKC4uli1btuhjhs7WrVtLf/YCRUVFUqNGjVJ3kcc1a9bUxwZDLIzADKVgKLjDoaSkpPRx9PF58+bJL7/8oo83b94sP//8s968wk477aS32rVr69/ccccdZZdddtHnIDWX2LgvLAw7ENHHDfkFI7A8hnvp3ck/f/58WbRokSxbtky++OIL+f7772Xt2rXy3XffyapVq9Taatiwoeywww7SpEkTqVu3rrRv317q16+vv+8F1q9fryS5YcMG/ZuLFy/Wz4Bl1rhxY+nUqZN+hg4dOki3bt2kWbNm0qpVK/0chvyDEVieAXcPYpgzZ47MmDFDyWLu3LmyceNGqVOnjvz222/6eLfddpOuXbsqQWDptG7dWq0i16XjnuPuMa8ASfL3sQD5rK7LumnTJvnpp5/0+eXLl8vq1av1s/J45cqV+ppGjRopmWGx7bXXXrLrrrsq0aby+ZgeZt35F0ZgOY6vv/5aSQprinsmPZbMdtttJw0aNNAJzs9YUVhUs2bNkvfee0+Ja/DgwXoMAuC1WEHZAsTFZ4fQIDgstOgbBMdxrEcIbd26dUrUPFevXj1p06aNWm/cIDZDbsAILIfAZP3xxx/l22+/VXeQCbxmzRolIQiKG1YKLljTpk3L3HgNFhVWzvDhw2Xy5MnywAMPyM477xx59+yjImsIi43vv2LFitIbRIZLirXGeeB5CJDv2rJlS7XWsNS4r1WrVuSdkkdFn8eQGRiBBRzErHAHsbCWLl2qx5iMTF6XsAiKt2vXTtq2batkVRFwxf73v//JE088IYceeqhceumlkWeCC8jshx9+kIULF2rCgZga3xPLDEBCzZs3V+usY8eOap0aggEjsICBicdk5IZLRUaQx0uWLNHniV316tVLtt9+ew10Vyf+w/u99NJL8vbbb8vzzz+v75VN99FLMNxxRyF84mcffvihEhvfjzgfJI+FCqHxGFc6V757LsIILAAgnkNsB0sCt/Crr77SADzHyQjiBv3ud79TC8ILQJKffPKJXHvttXLxxRfLgAEDSq0Vv4PhjEXl3icLMq1TpkzRcwux4TrvueeeGjuLdrlxPw3+gRGYT4GVAEERw2FyEVifNm2aktjBBx8sxx57rOy3334JJQxVncCxwLIbNmyYjB07VmNi6LFc3VWug/P+6aef6nf/7LPP1Arr0aOHWrZkOElokLHNl/PhZxiB+RAEpCGQ1157TV5//XUls2OOOUYtoUxl0Pibs2fPlt69e8vjjz8uRx11lMbT8hHITF5++WWZOHGiZm25Dn369NHzYUH87MIIzEeAuMiWvfnmmxp7wsKCOIhlMVlwXzIZj8Fdffjhh2XMmDEa1EcXlo+AzMlgEvyHzMjQEkM74YQTpH///hVaYqlawoaKYQTmAzA5vvnmG3nllVdUq0Ugfu+991bCwHXLlrvCxCWzyUQ955xz5OSTT1bJQb6CBQatGQkT9HKff/65uvf777+/9OvXT4P+Xop6DZXDCCwDSLQKk0UkxsKKTuCY+Moee+yhgXmkDwSPs50B47Pfcccd+jmvvPJKOeiggyLP5AfiXTuIHWsMSQZkxqLDYwTBkBkLD3EyQ/phBJYF4CaS5UNwyoZodEek7bt06eJLlTg6s8suu0ytjFNPPVVFoIZtwJ3kHLEIcW3ZXtW5c2cNAfDYkD4YgWUIbnwL+QMDHlkEewp333132WeffaRFixaRV/oTt9xyi6r0zzzzTA1gG8oDd9u9vij+yV66+zIhMouFeQ8jsAyAtDyxEvYlopzH6oK0SM1Xlbjcy5XpyUC8B1cSF+m8886rVNGfz4DIkLxQ0QPrmjgmcU3ILCh6uqDACCyNQMPFYGZF/uijj2TBggUycOBAOfDAA5OKkXBp/LRq33zzzUrAp512mhx55JGRo4ZEIMaJ0n/EiBEa28SlhMSwzEwQ6w2MwNIAgrwM3pkzZ8ro0aM1yIvVgpYrqGCYfPzxx6oJo/bWddddlxfWREWLSFUWmHHjximRsdcS8sciy3aFj1yAEZjHINb166+/ytChQ9VlPProozXwnUgxH42qTAivUNW/ec8998jUqVPl9NNPl1NOOSVy1BAPseeWUIK7x5SEzQUXXKAhhExf81yCEZiHwOp69tlndYIjN2ClJbuIpZILg5ShAilDzrjHlNtxrbCqEmE+gnOE5o+wwrvvvqsW7SGHHCJnnXVW5BWGqqLobw4ij/MaqUxAiukR5L7ttttUMX/88ccrgaHnQoTK++bCBOfz8/2wMBHeQl7IBdznDInhXn8yz+j7KG/ERnGU/aNGjVIRLOfWXMqqwSywFEDVBgoHsk+O+ltkFXENGJy5HB/68ssv5YUXXlApyCOPPFJK0oaqASuW0kXsOSVrCYlhtVPWxxT9ycEssGoCwqL8CvsEIavu3bvLEUccoSnz6lT3DBIIPlPllAwbOwasRHP1gDVGrTUIi8QP55QdD8hs3KYphophFlg1gNXFQEMeQXCeDddklfIJ1M166qmnVJz72GOPKWmbFZYasMTef/99JTIyvfvuu691W6oEZoElATd+wUZetv9g7lN7nvgPmihiXfkG3EZcaNxnxK0kKyx+kxqwxiiiSBUQFkesfFxJrDGrPRYfRmBJgn1u6LreeecdnajII6iCmq+xCggMq4sdBiQwEOfGZltd4jckD8YTlXURu0JijDmC/pxv245UHuZCVgJiE26NLqqiYnGRYbRqA+EyQEgBjjvuOC282LNnz6T0boayiCV692d0Yx988IFmKdlIT5MVMpVmjW2DEVgCuIOIEs4PPviglk9BeEjAmuCrIQzOzzXXXKOPb7zxRgvoeww2hSO1QHsHeVEVxPahboMRWAIwcKgs8OSTT6pJj+VFjAIT38z4beA8UdzvpJNOkoceekgOP/xwy555CKYnsUZCGCNHjtRAP9vSqDlmC6nFwOKC4Cl712jqQMlgJiVbPoy8ygN3hkJ+aMNQmNPNx++lgYIExhsxV+KLnFsC+lTuxX2nOi6Lhest5CPynsBiLz49AmnsSlMNtnkgTsXyMuKKD84LxE7ZGCwE1OXmZnsPzjNxV7K9uJIkT6gMwmMWEJCPRJb3BBZ9wdnnR9AUucQBBxyg8oBcVtR7CbJmCHtRlyNuzUdpSSZAJpLzSwbYbXDMMYgtHxdZcyEjmD59um7CZhUjm4aI0HRN8RFvpXdT/CwAZCLRyOWrxCTdYFxCYli56BG5AXaB5BvyOh/LRGQjNsJUFNBMOOJdlAA2JEailZ40P64k8TCCzS44zwbvwThlvEJojF/GMeM5n8533hIYF5lAKCJMNiYTECVgbzKA+EhmUhCL4RxSrYKaV5xfkI+uTboQex0Yr5xzxi/jmDLWuPH5QmJ5SWAueaFypkAf5W+4WfYsMSChZCYFG9qpxkE8kZI7Bm8RbzFg3Lpj+O6779Zzz/jOBxLLGwKLvphol9iMfd9996n48uCDDzYFeRJIxpIird+7d291x9m9APLFGkgVqZwnxi/j+KabbpJ7771XY7qM81xHThBYMhfenXyUKmFLEFoaGrXS1syC9akj+hqQBOnQoYPGwrAGzIVMDqmeJxYNxjPj+tVXX9VxznivCoK22OQEgSV74dnT+MYbb2jci5ru1q/PO0SfQ7RJZHFd0aUhc0Besffee2v3K+JhjHfGvYuKCIrngjYX8saFJDszfvx4bc6Ki8NFNo1XeoA6n60u3GgnR1WFZBC01d+vYFyzOFN0gPHOuGf8g4oIKogLeV4QGBfvrbfe0ovJhcU6oDyJIX0gsMy5xhrDnUkGZgl7B8Y345yFmnHP+HdJLJeQ8wRGDIAOMOiSqFdPc1HbbJx+EFekSi3WLjXUKASZD0FlP4FxTqlzxj3jn3lQ1ZiY35GzBIY7worD9hbcGIiL4DIWgSEzaNmypfTq1UutgWeeeUb1SYbMgvHOuGf8Mw+YD8yLXHHXc5LAuDjoYAhivvjii1o9lb2NVLY0ZA5YYVRQoBTR8OHD5eeff9bSMIbMgnHP+KczPPMBiUWuiF1zhsCiLwZmMiLKO+64Q4sQUlHCdF7ZAZlIxK2cf3RhtGKLRq5YAn4H5x8r7Pzzz5cbbrhB5S2x7mQQr0XOEFh0AHjevHny3HPPyaBBgzSQjAtjEyWD4FxHnW8sgKuvvlqtMErARCP6utk1Si+YB8wH5gXzg3kSDctC+gCYxyNGjNBSODQJdXs0WoYrk3DOddT5Jq1/6qmnquZu4sSJmhWLB7tG6QfX4OSTT1aJC3snmS+xCNJCklMEhtuIaUwpF3o1MnFsUmQfXAOsMMTDEFisLswsr8yBa0FhxBNOOEHde5qykCGORpDmTOAJzB38TAoyLBQjpJIqBfYM3oAzXCWKSTD+WfkJ4tPRe8GCBZGjZnllAxScpJsUGUm2HCUrNvYbAktgLnEx+OmMw0rCxSDbQmkRg/dI1U5q27at9O3bV63kTz/91DKSWQY6Pfp5stVo8uTJOo+ChsBbYPTOQ99C2zNEeyiPDd4C+8i9pQpcF+IwSFwoh+zC3MjsgMwk8WK6HtELgvkUJASWwFy345NPPtH2Z7Rkh8Bc2ITIEOKd5gpOPU0/WPXJRuJK0jgYmBuZHVCWmj2TzB+8GK5JkBBoF5LOQaNHj9aMCunh6E44NiEyhGqc5j59+qgVRglkqrcasgvmDYs/eyeRujCvgmIABJLAOLmYuo888ohKJdiuQi12g//Btdtll11kn3320f6b7M9zJ0tQJk0ugXPOjaTXYYcdJr/73e/kgQce0PkVhOsRCAKLPZGcXAY+m1W7detW2hfP4H+4lrGbKaZ2vht3Mas58+CcuzcykzRmoTcqG/CDEA8LBIFFD2xOKgUJMXXPOeccLdtiA786YFHwYIXVt4l5nyQuR/v27dUKI3M8ZsyYyFFDNkEdN9q1/eUvf9Fy68SX/U5igXIhSbvTkZgqk5dffrnKJawcdHUQTTgJiCzOoTIo82tVX0CIuxBzoasO9cKCsNrnA9gfOWfOHG14c//998usWbN8LXcJVGNb9m4hmaCBJxUmooP2hqogQjhYTgWwUEn45wjUoIqyasvQk0taHIy+VQD9M3FegyKcqiGs9IBwgCF7oEHus88+K6+99poMGDBAPRuuD15O06ZNI6/yFwpCQYjUOaCKAV2f58+fr1tS8rELsecIbZWFC+bKtGlTZfWadRIqcKxZHQ0F0rBRY+m2737SscPOZTkqmsAiYAhV141nUWJPHo1ZX3rpJU3G4MoYMgcsLCwu+hcgMkbmcsYZZ+ie1VGjRqmlTLLMj7tbAmGBcYKJe82dO1dXaTQrhlQR0v8mTnxfXhw+Qr75drazAv+kCwS3X5ctlxY77OC4eO3LEliZH1y+K4g+pMeif64I9evV1246yGEICZChNMs6c/jtt99U//Xyyy/rYgJRUYIKi6t169aaKYbUuCbUdvPb4hKIpQ7FNpOKCp/0vjOkirAZxb+zv58rocKasv8BPeXYY/tFbsdqlrBFi+b6umSweXOxlJRAidsQ2hqSLZsrjp9QLaTDrrtK32OOkSFDhqilXVJS1qU1VB8VOVica9T3FDlcvHixWl1/+tOfyvSLOPHEE9UqxoBgDvoNvnchqRw5cuRIFT6yj84kE14AgtgqW7ZulUsuuVzqOVbQH8/7o1q2DIboAeFaUtEW1VbHIl69arXuoWuyfVNZvGiRLF261HE7GzlWWyupX7+RbFz/myxd8ous/W2dNG22g3O8hTMRGkph5I2i369482bHhflajjjyCC09TSqf+JghfYCwxo0bp247iZQ//vGPCbfhUa2CuBiyJawzP3Xz8rULCbdi3rLJlIaduBcGL7DVIaktjtW0UZ4Y8oR03XMv2WOPPaR2zVqycbNDbKFCKSpybg7LQDTRZAOW/7pMXho+Uu65627HBawn1/7ftfKfoUPkvy/+V9as3uC8h8iYMW/Ibf+8WYY++ZSMHjteGjVuKh077eZYXDXKvSeZ5LrOqr9kyRLd5I28Yvvtt692XM2QGFi37BumWjGWF8H6Sy+9tMK5RewLwiM7CYm1a9fON9fG1y4kqXU0QpxAAokGDxHaKmtXr5JfHcuJ1PlDDz6o7sLAgafL4489KksWLy1njbkgcVniWGHz582TkS+Nkhtvukkmvvc/ufCC82X69M/kwQcecRafAnnccQmff+456dihozzy0MOy2CGoLc6iFO89GzRsKFdddZVWRaCumzUA8R7sO2UP6vHHH6912W6//Xa1qJIJzqPSJ3GGhUzczC/wHYFFe7RDhw7VoD0rsmWmKkN5uqkoOBAqLpFFPy2S5ctWyLsTJiiBHNuvn3TcpZ289foouWnw9bJo6TLHVot9V6wnh4SKi9X1PHHAadLnyGO0NMvRjgtYy7Hi2rXfRY4+pq9077G/7Ne9u5xyQn/55ccFzoL0W0ICqxFpAII8hoA+JGbwDpDOBOc6U5ONWPJjjz2mcU4sqsqsKeYkoRuMCCzj//znP5Fnsg/fsQInEzOXzAcqbVxHtji48HnIzldIOC4d66jAcRP579xzznUsn6tl0HnnyRlnDJRLLv6TnNj/aJk3d7aMeuXVOLQYtsAYOMSpdu/aVeo1qCtFtWrK9k2bOhOijrRqtZO0btNO6tSpK/Xq1pMdtm8qsqVYY11bYwnM/cH5sGS6LrnkEu1eNHXqVI2rGcqiOuMfOcSwYcPkrrvu0gTN4MGDSzvTJ+MK8hrcfAomULmCa8P8rCzZkom5mhUC44tV9OVogIo2iJOMvx2dVveL7+0/lD8vnOH4Z9khsBqOpbTzLnLW2WdLn8MPk44dO8qOO+0knTp3lv167CfNWrSQaZ9OdyymmPfgB+dPhSCc2rVku8aNIs+HpLDIoUTiWfXqOORVW4+CwkJ2SzgLU4gBH/OJYj6223z4q6++0kliKIuqjn9q3j/66KOqoaQW29nO9aZ6i9sroiqgLDgkxjV66KGHynU1ikUm5mpWCIwvlujLofylzAqrO1kxqzJRFcQ/pzGUwQVwbkVSu049abxdYw2gF7rpQYeEGKjogMggxltjQ5AR7+G49YU13CGEZeX8Jcc8Kyhyrq/7fvqZwo/Dl7zcpykDFitiNGQ4P/vsMy20Z6g6IBc2ZKOspzwOPSHPPPNM3YOaCrGg1Tv88MNV2oQlxnzNJnzlQmKSIpxDm8IgZguDxb5SR/nhGpKtxZtk5swZ8uLIl+Snxb/K1hKIZavz1FbHdd8oGzdukCZNttNMZBlUMvaj6YnHxMv4Ff01x3Wt9A0cEPckK0addiwxQ9WwatUqTX5R8IBEGHEvyIv4VaogZkZYp3///vLf//5X67llU7eXNXaI50KS3iV4y0nq0KGDar8M1UdiunAIbMsmmT9/njw25D8yacrHsnzVSikuKZZly37Va7B8+TLp0b27hJ2/sogfhndeF/mDPFv2FeGf9JLH/9Uy4LrTVQorgkYtfsp6+RHuXIJIsLZef/117fuIF0OWEWOgOi5jIhDQP+WUU3RnDAJX5m0ipDsOljUCizVjOfnUIaLO11lnneXpCTfEgvhVXenZ60Bp22ZHGT/uTZn4vwny+fQvZMxb42Xcu5OkcZPmcnz/fjpAyhOYc3Oun4YCSsdn2NbiWCFupP60ja8KHEu6jDUWB9GDnTrtlJ+ePXu2WWGVgHNO3JhOT2i7iE9RmPDaa6/VJjdeA6+I0A69PtmCBJElssJScVeTgW/8M1ZZBKvNmzfXNK+5jqlDiSb8MAYO0dSopZnCf95yo9SSYhl83XVyzFHHyu133CdNdmgr1143WHZq6bjw+uqyKCgkUF/PIbnGhMwizzvEVVhDGjdqJPXr1S5V3DsjWDOUzZo3k5o1akohGdDIU7GIHuxY4b1799ZtLWPHjrUORhWAcwOJ3HDDDfLwww/LbbfdJhdeeKEuAOkCBgZuKfsnUepXZIWlE77ZSoQCm7IqAwcO9G3pjqCh1PqJ3LvQ485lL8B82rJZijdvkrXrNsnGTVulyLHM6jXaTmrXdKy0UnLi5eF3U5IpCcmW4i2y2Zk4terVVbIqlBIJlWyVDZuclbiotvP7zh2/7PxayZatsn7jRqlD2t45GI8U44FF7fHHH1er/KabblKrwlAWuNmTJk2SW265RRMgTz31lG7C5nE864fr6JVVxHuxzY+5e9JJJ2lpdy/fPxn4wswh04Tmp379+rbX0UOEXTaXxraB4RUeZM7NscRq1msoTbd3LN9WLaX59o2lfu2y5AV4fenAdBirhmNV1atft3S7Ef8WOBZY3bq1pY7j/UcnIQtrFkmDhvWlKEJeyYLxwOZ9RLJMTJDMepvMa3IBbMZGVHrrrbeqq4jWi96bWEeJSMRLcuG90JXxOWiTx32m4QsCI11OWhaXAdcxXwZg5hDnfOohBjNDwLk5jFMIwfAw8kyFiLyAu/DDso/iwX1FoudduNefCcIeTSYnrgrbjJKBl5PUr0Ajd++992rGnoD6n//8Z93JQGmiTALJDZvviVUiq3DPfabmcNYJjA28xL5wG1k9QD4MwMwizvlM0yl23zaVt4++/mTSEE527txZNU0G0UYoxLrwXHDdkEmQtc8WjjjiCL0nI8mmb5CpOZx1AqPGPasGqvtMrx65DwZRNQZSioun10MXywLxJJY6rkplCvBcBBYNW+vQXj3//PO6tQfyOu6447JenZhGICj00ZxlevdE1giMC4KKF90KGScUwgafoJSBYLLMuAIVgbgo4lbqVhHnybcGIFSRwLKBuAiaUz2CjlxUT23UqFHkVdkFsUo+C1ZYJtX5WSMwTExSv2RL2J5guq9MwCWkZEgp+8QVDXZloDuiIxV6p3yxwjZu3KjxJYjr6aefViKn7FCPHj185bHgwnKNaAzC53WR7lhY1ggM4Rsqa7Y3EOMw+A2ZiWEkC4STBIuZJJTbIWudqUBxpuF+LyzNGTNmKHGRbbziiitUnOrGiv0G9i6TOeb6uMLWdMfCskZgq1ev1i9JSQ+zvjIFBpN7SwZVeW36weRgElPemNgpVhiTPdeIjEnv6rsomEx2DwuM6qmcA78C65BQEBUwmN+ZQNYIjBZOMHanTp0iRwyGikGsFMkAsbDx48ertILJnqmMV6ZADOmJJ56Qf/zjH6qmHzFihOy2W6cKv6sfSJw9rLiS1O9jfmcCWSMwqk4gnUBHYjAkAyYv1vq5556rqzwZr1yLhRFDuvHGG7WaxGmnnSY333yzus30KKiIqL0g8W0UyKPKCDH+azBKqOfGHslopItgM05gZFSox42pSfzL9jwaqgq2FCEdIONFo4lcwYcffqjVUlncKTwIgfE9MzFHttFLFNFAOnF5J/pg2Rc0adJErTAIlXnOfAdeEGw8ZIXAKFhITSG+rMFQVSCrYAsLfQrRhlGJIcgg00j5m38/8G9p1mx7Of3007Q3APqqxIA43Fvq2EYvUUQD6cTlneiDZV9AZtTVheHms9E8ne5tRgmMoD3BPb4UWhar92WoLmhIge4IN5JYWBDBfKBLEBlG4lztd95Z/vCHP6imKrmCBjHEUBGfJcEh26iIR3GZKwqJX0MMDCuZrV/ssnEzkulARgmM4OSXX36p1ld0918XuZhRMqQHaAepfkBFUOQ4QSu3g9VF4UjEqW+++aZ23iLDyn3dusk2jo0hkIp4J9HxNICFha1f7BzAzee7uvB6fmeUwNC14Od3797dV919DcGE28GbgD7B76CA2lm4vmwLom495Zkph7PjjjtJuAFKMnDZKoPMVAWQnHNb5EVLKoiFeUliGSMwYl8wMfcULYynIubLpSvYZ8g9IOikcisThImS7niLF6BePa4Vdc7wRq6//nrtjF2Rqj6IXglxSholv//++7rp3A3mAy9JLGMExiDDZKY8ChtRDQYv0K9fP60XRoUG9gv6dQFkwiL5wOqifheatkceeUQ3qVc2maO/E68MAp0R3+a6IHuBqGOFre53SpXIMkZgDC560/Xp08eqThg8A1uM2BdIUghy8CsIn1xzzTWabWRPJ2Wf3ZLP2wiKyUzAOzypXbKKN8XjHfMbIC82nbOTwC2zE4tUF5yMERhaFlYdpBN+XSUNwQNjiZb3bGNB/El9uWSQDrcs3nviOqFVI7tInO7qq6/WpjVkGcvqu5zfDYXb2kFivBM3l87cd46eOdHHy8J9Jv6zieD1OcFQobsU3x/XOR3ICIGRKaLiKl22zX00eA0E0eiOsMLYM5jMREzHIhr7ngTrIVUabDD2qZpK8T8+Zznycm7LliySF54dJlddeaUMOu88ufqa6+S/w1+WX5evKUNHqX7yeOeHY16fE74j/T2pOEPjD3jAa2SEwDAfaZlmVScM6QArPWl79FPoqajNnk7tUTLA2qKOP7eePXuq1XXQQQc5Hgg9H8J0FKYR53OGiuW3Navk8aFPy/8mT5VadepLxw67SlFBiUx8Z6w8/8yTsm7DpijnchuJlaWc8PuGj7q3CNxfdBCPqNJF6HhduPg//fSTat68RkYIDPORTARsbDCkA+wXJCOJJTFu3ListbwnE0ofy2eeeUazjUxeLC/0XdukQ9GtgUukZMsmmTHjS3l34mTZueOectrA38u555wrZ5x6srRr1UzGv/WmfPPdt4LSLYqH4pBXGBvWb3A+B8QYOeDcl6ACyNI5Oeyww7RwaaI4WCoo+hv1OtIIBhIt4lHkotsxGNIBQhO4Kow33EiU+qTy07WPMJ7LRaCeFmNsZCbjzsSFvMrv+S2IkA/3ISku3izvvz/ZsRxXye/P/IN027urNN6ukbRs0Uy2bFwvE96bKDu2bS9du+4V1QUqjM0bN8mCeQtk+rTpUrtWLZn0/vvywQeT5TuH8DZv2uJYokXyw8IFMnnSRPn4409k4Q+/SI1adaRBw0baxAWU/RapId55IdHCOWGRwVLmOnmFtBPYzz//rOYjF9FK5xjSCVL3xJcoRYNGjFr6Xgqmoydn9CTlOBuwEWnjwlJs8fTTT9cMXPnJyu+Fb+47hEpCsmL5SmnXrr3svdde0rBBXef9Hatp8yaZP+c7+ejjadJlr321b8S2RsIOHMtq9cpVMn7sOLnv3nulnuOujRr1knzyyVT53/8myC+LfnU+13r5/LNP5a233pDJUz6U8RMmyZatBdJlzy5Sr36d0k/jFTgvsSTGrhv0YJwLYoFetk5MuwsJebEqYkIbDOkEEwTSuvzyy5VI2OwdLaBMFbGWhQvCI3QPv//++/UzIE6lUxBgMlcMemzWliOOPlpOPXWA7NCiqfN3nN8JbZbFvy6Rr2fPlc2ON8j2u3jGJJ8otKVYli5ZopbaxZdcKs8//6z86fzzZe7c+TJ8xCipUaOW3H77v+TRRx6V/fftLiNffFHduWKHOL1A7HeMd57YfQMPeL1jIiMEhvuYzjbnBoMLLC7qhWEFUfUknc1WmbiIU++44w7VdSGqxaHBUnKRiPTigpfqyzdL8cZV8sGHU2TcxCnSs/eh0mP/HuXcR34o0BhasVo5Z5x1thza50hp41g5hx16sGPJNZT2u3SUvv2Ok657dZM9Ou8uA085WVYtW+K4u2tlS0lYrsE/YQ7in7JklAxcq6siUCOMWDjhJC+RVgJj61CuFZwz+AfxJg2TiX14Z5xxhtajIn2fDmDZYU1AWgTr77nnHhk0aJCGSqoGl7Wc76IasC1SvGmjvPr6G/LsCy9Ks5Y7yvkXXig1isKviofCwgKp16C+tKc3ZKQleh3HnSYD2LzFDtKseQv9ZeJw9WrVcoiwQLY4pFfinD89g85zCXk2ST6rjKiJfSEroZFP9ObuVJEWAnMHFiY8j/F7DQavkWjScHzgwIGyZs0a3TSdrLg1Wfz222/aEdsVpD7wwAOaNIA4K0oaxCPc8DG+h3NfsEXWrV4uTz79rDw3YrTs0rGz4w5fKm3btNZXuLdohJwjocIiKapRQ+rWqxt5gXPU+RgFDpnVqFXTcWtrRXjIedI5N7wkFIp9JxA+VuZzxntZNYDUhbgkxA8vuIh3TqqCtBCYO7AI4LOdgBrmBkMm0bp1a61JNWvWLJU1xEN1Jg8hES0++O9/q+7suuuu050AVMWozAqJ93z4EJ8jJKuX/Sr/GfqEvDPhPenSbX/5w9nnSZc99pBaNWKmadTHhsDC+jCHmBzydJ8Kv2P4byb+WPGe4PUVf4/qAh6AD+AFF6n+rbQQmAu0H6xIFv8yZBqs+Mcff7wGjim3E08FXtXJgzU3dOhQ3dPLJmyyjJBXaoU5oZktUlK8WZ57YaR88NHnss8+PeTUU06WvfbsInUdC4pP6d4UPCglMeeBMlX4pzLQY6UvjAHHEz2XHkBg8AF9Pb1CWgmM1DLCPlYngyHTIHOHdIfAMQH96oKS1e+9954WH8T9Qd8Febm131NDiYSKNzok+6m88ebb0nj7nWT3Ll2lyCGXed/Plu+++UZmfzPbefyjhDC1XMT+2bhc5JJUnCcrJLf0wBWyEwfzCmkjMHfzppWNNmQLuCsU1UPkSo/F6sTCKANDqZ4XXnhBs+knnXSSxr7Qm3kCh0PWO1biqJdHyY8/LnQsxt/kg0nvyzNPPyVP/uc/Wm76ueefk4+mfihbowksAlxHx6yRQuc7IooN81r4EcH9wkLnDyDL0MPhx4WOS8rE3/b6zIA6gPS15Jx6tbk7bQRGe3EsL7qqGAyZhhvfYnsRGkRiV4gpK4P7e+ylhPDQdyGMZSG+6KKLlMC8XZRDDjGVyObNxY7F2MmZ2MtkzuxvZc5338lsbs48WrBwgZQ45leJQz4RKipFTcfF3LF1a9mvx35St05tJSWoqW6d+rJnly6O29bOIfIaSlS4b9s1aax7Mhtvt53UKCjMKIEBGn7ACzQm9gIFzgWLPSeegO0cmN4HHHCAmtoGQ6bB0MbFoz0/m6pJ4z/44IOVqvMJexC/ffXVV5W8cBeRZXgSy9Xp5tBGKXNgVrliWyq1lLcp+A13kqoRFcs6kbd0DbTCyCPH1tJHvLz0XSNvRBIy8mvbPooD95ylC++++65aw/SPpG1cqkibBcZeMAKpmI0GQzbARGRCdu3aVeuFUQ1hwoQJkWfjg9cTZP7LX/4it99+u6rrL7nkEu8SUeXIgZ8hLm7xiYOjpbd4L3GOlSWj8CP+DbuKUYi8KHIXfi5CakDPmXMfffMSuN649PCDF0gbga1fv179XTqUgDQZegZDhXCtCdxIgvoVVW1FdI2FcMEFF2jWEksBqUQii82bMc3nYxqWo5oyKCWbGESTzLbXxHsUB9G/nCGwoZu9kF7tkEgbgbmmqDuA3HuDIRugPjvhDFxDSCqWfJhQuJl33323WmvUqyftzxadRGO32mPaw6nAW7m38nAZKvq2Dfrx4/xy9OGYp1IGHhk7BChw6gXSQmCkrQnUoUw2GLKBWIKCiGgoAzk9/fTTZQoeInZFmMrWIzp+U0EV+QUhkOAjPnllC2x2Z7sV/ODFvsi0EBgxBMjLCMyQLcSzjtjKQklndEhu0UP6Mj722GOacTzmmGPklFNO0X17uYF02lLVB/XB6I3hhaA1LQTGYGCPmBv/Mhj8ABZULDBcySFDhsiwYcNU30W2HNU+Egm2IOUW/EdixMa5Fl7sUU0LgbFLHwKDaQ0GP4GVn045uItIJIjH/PGPf5S+ffumebz6x43LNjBsONde1AZLG4GRuYFpDQa/YNOmTSqlYDsQEwg38/zzz9daVZmLd3lAYgHnQQiMTKRvCQzBICYiq5vB4AdQg4pgPVtzCNhDXJTbIStJLCxQ8E84KynEJlTYyQA3eLGdKG0xMC+LlhkMqYAJhKbrr3/9q1aSeOONN+Tmm2/WbUbU9fJyc3Fi+CsOFQ/pcnJjEypowVq2bClffvll5Ej14TmBYX2h9SBtbTBkG1hXjz76qJZ8RteFkBVNGJOK2NcXX3whX3/9tX8rB2fIXcyGV4qUBb5IBZ4TGCV8MRHLd2MxGLxBrEuSCGzgpkY9konjjjtOiw+SZXTjXWQjKfHy+eefe7a1xXNkyGDLtH1IHIwFJdWS354TGFuI2HFu8S9DulCRAt4lt48//ljdRLYEsWmYG6XN2YfnAjElxEbX+I8++khLRRsyAxYROAK+SAWeExjlYvlgZoEZsgFir8OHD9eqE2TBBwwYoOp6RKzxQNlpWrFhgXkRkzEkB1QKlNqKLi9dHXhOYJjtxL9yYxuGISggnoJEgnr1VE7dYYcdtAwOpZ8r6hREvBZdGF21qReWqkVgSA5wBFpR+CIVeE5grIBkGSyIb8gU0HdR+I8adLSwZ8+j22wjmVBGjx49NOwxZ84c/8bCchC4+6lKWDwnMMrFIhKknK/BkC64sS7iVhQsJLuIPAJ38c4775RWrVppBdJkgGYRV5LkExVYrZdp+uHGwNDipQLPCYzOLYETBhoCBwL5kBfBd/oyfvLJJ3LDDTfIFVdckVSQPxZkJImFEfz3qtSLoSw49+75JwvZvn175YtU4DmBGQyZArGuwYMHq+X0+OOPa7yrMiQiN7wGthQR/mCDtyEYSAuBEUCNbnyQaNUzGKoDLK8rr7xSiebMM8+Uf/7zn2WqSFR3vFG1tXv37vLWW29pQsDGrbdg8ajIOq4O0kJgbBOIDuJ7/aENuY945EGzDYrgDRo0SN28P//5z0pgLJjRWe/qjjc2GBP4R2B5zz33lCl6aPAnPCcwtmVw4ZMNoBoM8RBLQgR7UdRfeumlSlhsxqbnI4+9GmuIXClmSCKARrZs/qZWmFli3gONHlYzfJEKPGcZlM9bt7ptogyG1EHZFeJdzzzzjHTp0kXOPvtsOfTQQ1VH5DVcK4wA84svvqjuqnkQ3gOVAoF8+CIVmJlk8C1wGVmhiXVRNQJ919VXX61xqnidgrCUUrWWsOaQYJx88skyZswYmTdvnurMDP6EEZgh64hHOijiP/30U9V3IZHo3bu3XH/99So4jd7P6MJLNw/L4JBDDlE3hz6SK1asiDxj8BuMwAwZR6ylFO2icZxCd+i7KD5IC3oC9ei7KlLVu+/hhbuHFYZ7SrLg7bffViuMWJjBfzACM2QckEwioqE+FMH6W2+9VTOLN954o3YKAi7pJbK2vCAvF5DlwIEDdY8kFuDSpUsjz2xDos9hyBwyTmB20Q0V4R//+IfcdNNN2iWIx3vvvXfkGW+trMrA32CLESRGNdd4dasy8TkMFSPjBGYX3RALgvX0CES+MGXKFLn33nu1kgRVJLI9Xk4//XR1KZFV4M4avIFXhkzaCMwsLS/AOQzf3Ee5BmQKkAPdsAma/+tf/1KJBO3P4gXrMw22FlH0kEoV06dPjxw1pAqvFqa0EZhZWlVAhcwUJi+/ozoLFsXsyDLSGRvt1TXXXCMHHnigZgH9Mn4gUQSzuJMUPPSiHb7BO1gQP0mk1QIqqOjdC/S/8CP/oqqEQzONp556SiZPnqzdgc4991zp2bOnL8swoQvjsxHIx8U1+AdGYFWE9yRWMXm5tFVKDxW9vCrw6n2qCOQIkBbiVGJKvXr10u5AnTp1irzCnzjssMPUMsSNTLWKqME7ZJTAciUuVr1vkZgxQlWxrbZxWmrw6n2qACQSxLvYEkS1hxNPPFHOO+88Levsd7DBm4woGjW+g8Ef8JzA2OKRaHNtkONisfO9lIpcXorPTREkfjJMXgWR+9yCu2CxuX/58uXy7rvvyv3336/jgE3Z6Luiyy75EdGLLtYi7iTbmqg8bKg+2C9N5dt4W8KqAs8JDFcgrzoSJcU7iV8UlxRzBBAVA5VO7WyMvvbaazXDSLszYkpBQPSiS6UKaoaxtQixrWXaqw8EwiRxUg0deE5gVLaksQfanlxE2FaKsZf4ITFHRRDnRZHxH300fIh/3VvFSOaVcV9T2S95BPRdEBcNZh955BGt4RVdfDBIgLBoAIIrSbdvJCBGYtUDCxs8AV+kgrTEwObOnasXN7eR7MB1maKi14dJsTwqZcVSJP/KzAD34J133pFLLrlE3UfiRmzIpplsvFBCEIiAz01/Sb4HsgqsSit6WH14cc3TQmAM3txdmdzJlwxlMLipjcY95yPmnOhb8Fz4eSWx0vMWpjT3NwGKMB67PwPeorJPEv186e8m84vVBIRFoJ5mG7hdd911l+y+++4qVI1HXiDRcb+B8Ahuz8EHH6yZVBITRmLVgxfXvMgx7f8WeewJqKGEiU2Hl2R68gUTkRMPG8RegzLHSpwft2hBvheHj5CNmzZLq1YtyyjMly1dIpPfnygjR4yQSZMmy6TJzo1757b2t/XSqHETaVC/XuQtt/2x2D+riPd5IuCwe0sn6KuIvotuM4hSaenftWtXz6qm+gFu42YqVbBjYJdddrE2glXEypUrVZJCQcNTTz01crTq8HxUtWnTJn+C+IlYBCtKb1tl0c8/yeuvvS7PDHte5s/7wfH9YZnI65zboiVLZcqHU+X9SR/IHMf1/n7u96U36r6v+21d+OUO4pNP+H1KEfUw0yA7N3ToUNVJoZuCvPbcc8/Is7kDMqeQ1hFHHKGW5rJly8wKqyIoEgmJpRoPTUsQnwtKgC4voSwTkk3r1sqMLz6Xl0aOkNFvjJYlS5c7zxU5z0TTUMhxt1bIshWrZJddO8qAAadE3QbIvvvuI422axR5bRj8dnkic+y84i1SvDmmZpVDZps3bpaSrembXIQKGIw0laWtP/IC9g6yqhIvylVQL6x///66yGBJpNqgNd8A4ZPoSzWI77kLyRYRCIzYRzpqlgcDJTLr6xny8muvyLTPPnVW7PoOkWyRA3v2lC5ddnfcD9aNrc7s36Ku1qxZ36q7ReWD3XbbTTpGbq132knq1a1TnrQcYlq7Zq187vzuZoc8cFGnffKJzHT+5vLlK533ryubHOLi+WnTPpG58xc67usWqe28V+06Yd1VeRKsOsgkca3Hjx+vbiP15C+44AKND6Wq7/E7cCEJ5M+fP19mzpyplmazZs0CE8vLNnAdp02bpucsFUmN5wTGgEb3Q/1yyqHkI0KO6zhp0nsyb+ECOeTww50JfZhMmjhJDtj/AOe8OARWM0xgW7dulI8++lhmz54r++27n+N615LFS5fJmvUbpahWXalZo0hquPPBIa3SueFYPd/PniODr/+r7s/7+MOPZNSokfL2+Lec95vmPF3DuQZLZdjT/5GxY0bL6LHj5Iefl8gOrVpK23ZtSskrlalGogbipIciQXpa81933XV63f1QRSLdwPLke1LiGvLu0KGDWpzR7QQNicHYQdhMRpdFu7rw3IVkvxiTKm9dSFBQKL0O6q36pzPOGCj169WVAmfAx+rHNm3YICtXrJCVK1fIrG9nyVVXXyWDzjlbbrj+Opny/nuyetVqzWGC2IW90HmvTes3yIR3J8iObdrKQw8/LA8+cL+0a9dWHh8yVEa+9IpceNHF8uLw4XLeuYPkh/kLZMrkD2T9xk1wYZURnVWGvNjHOGTIELnzzju1auott9wSWH1XRUiUTcfSItZLFQ0mIS70V199lfD1hrJgTyx9D+CLVJAWAsM8jEdg+XFxKZfMytxOWrVsJUWOO1no3LYZT5wDfiqQ1SvXyOLFS+XrWbO0VEvfvsfIBeefJ+tWLpP/u/JSGedYN6vXbVQpRVmEpDBU4hDgOjnIcdf6n3iydNtnH9nbcWN6HnCArP1tnZz5+z/Igb87yLEMOsoJ/ftJO8f6WrliuWxyBk51ImLRrtH777+vDTY+/vhjx/IbpVuCcjXjnIxLSL1+XEnCJ8gqDJUDfsDQ8R2BofdJlFLOl/gAHFXgWGHhQjiuSDVsfZWeg1CBFBbUlIN7Hyx3/OtfWsjv97//vZxx+mny8AP3SecO7WX8+Lfly5mzIr9dHkgTdnKsr8bEXpzHtWrWkAb160s957arQ1w1uQ6FBVKndm2p4zwXInC6NbxDIt77VYYNjsWIAh2rC5kMTTdclzHRtc2HRQs3kowksTA6KRniI3osuFlI+CIVeE5gpJgRMuZzL72EkzlyH0ahNGveQg455FDp37ev7Oy4fmRkGmzXSNrvsot023cfWbFqlSxZuiyOxRSmxQKHOOo47mnNWjWdn513L3SOFlGEr9AhsXrO53Bf7jxw/ufvV5dPkEZQo56A/VFHHSVXXXVVUvqnfFi0COiTNWaP5NSpUyu3wtwLkQfkHg13LLAQslOHJF+qm/k9JzBABooMVa7uh6wqdLyGH0bAhYSEnNPvPIGdVlgYFfiuUSRNmjTmijsW09aY3w0j5DwXwspDIKrktE2n7xh3zvGyxBF+j3jvVDnoygN5LV68WJttoO8iaJ0PwfpkgTofaxRZRUIrLHx5tqHsJcobsJEbAtthhx0iR6qPtBBYy5YtVReT+/shqwtGcYn8+MN8efWNN2T0uPGysXiLczR8XEq2yDLHikVCgQo/7kXSiRAmwrIoPytiX+XOoei5FA8EWYlxPfzww+quUr8LAsN9NJQFMcAjjzxSF266GDFJ48M56wUlsnnjOvn6y8/k0YcfkoceflymTf9Kvp09R14aNVIefuDfMuTBh+Td8e/IshWr1QKv7FoFCXADXho8kSrSRmB8QBP3VQRnEG9aL59/8aW8PHqsfD7za9m8pVg2F29SYeSMGTOkffudpW3rncpSUulIjkdcscccRF4fjsdte76iCYHIkIKDI0eOVKU5exgpPMgERbdjiI9u3bpJu3btNKBPUiYutHx4ifz84w/yyYeT5Svn+g8Z8qQMeeIpGTNmrCxcuEAW/fyzjB87Rp55+hn5ZPrnSmC5BHgBd9u3BMZFZPVOvArlCyAMTrFDHY4FEyYNlzoKpU3b9rLvPt2kcMtGGfXiCzL69Tfk9dfelGHPDZetBTXloN/1ll0juq1S6ok8CLuJjgvJvfOeHA6Fwn+ryLkrcIe984RadhyLei23eEAiQeOKl19+WZ5//nmNc1G/a7/99st5cWqqoNIGejgErmPHji1f9FDJS2Srs1DNmTtHt5Edd/xxsnHDenl73Fuy3JnUJ554slx++aWyW8dd5MuvvnDc0dzrhESMEBKDJ1JFWgiMWABp0nxNKW/LtkAThVK/QUPp1LmTNGna2HHFXOoolHqNmki/Y46S0048Vn6YO1tu+/s/5dZb75TFv66WP154mfTqdZA0qle7/EVymAhVfefdd3csou2lBnEwB0VFNTUwumeX3aV27RpKWKBW7VrSbud20qZNa6lVVKTvF4/EWHS+/vprJS6sr759+2pFCaqQVrQZOz/kMcmhe/fuugsFTRgB/fII6e4Jzn6DRttpHH/1qpVqaZ911tnSrn17xw3d4iwkG5yXlpTGGXPpFJN9pDQ3PJEynMHnORz3I3T99deHxo8fHzmSr9jq3DY7ty36U6jE/UcfhFHiPFeyKRQq3hRat3ZtaNWqtaFi52l+g99OiMjbcMdrS0ofhY9tjTyn4EHkB/d9S5+LwCGv0IQJE0IDBw4M9enTJ/TOO+/occed1HtDYsSeo+nTp4euuuqq0KBBg0LFxcWRoy44+xzbHFq+5MfQY488HKpXr3HosiuuCy1ZtsK5LiWhqVMmhU7v3zd00IG9QiNfHp3wmgURnKtnnnkmdOyxxypPpIq0WGBkFwhmorbNb2DjsIJy7yyhERfCtX30J3QPBTVEatRU/VajRg2kyHnatZISgiedW/iOd+IWvpx6LPKcc431mP7gIJH1RazrhhtuUGEhfRqpJgGSkUGU/o08Rew5wrI44IADNI5JPJOY4jbwWucqOOdszZoVMnv2d1JYs5bssWdXqV3LsZpli3z33Rz56ZfljuXbWjrt1kF/y73CQT/ThCjwzthy5dsspHtB831glw7WMnQROTf6r3sfeY1z3lzicW+VAzGGqsKcx9t+w32k1yLqjcq+SjRTfPXVV2t1URT1gwcP1ixjtESisuuYDMnlE9A2IdCk3+UTTzyhi/k2cK643iFZ67iOc+fOkTr16jsEtqfzezWleNNGmTlzlqxcs052br+rBrtvve0O+XX5itIxE2SwSwcdGPtGvRg3aSEwQNyEQB0buw3lL5R7JPVLyDu4t+SBRo92+X/60580a0ZvxjPOOKNcPTfIywiqauB8sQiQtUVDRzwMy6MMHKuM2NcPCxdKixbNpXWb1lJUo0gWLf5FFvy4QOpv10C2a9ZUfly0SNZt2CjbNWqYvsmaQdDIgxiYV6WW0nZOEPZhKiJ+NIDyJOMdLVTtnVhYUNSz2ZyMGV2xjz32WNlxxx3LBeuNvKoHMpK4kpTZoU5arKSoxFlANqxbJyVbt0j37vtI06aNpaiwQBo0bCDt2reTug3ryYyvZzpk9qPWV6vNosJiEvn9oIIqFJyLVLsRufC8nI4L/H7S8fi6pOINqQH3wYvBy5agV199VasnYCWfddZZ2u8w1cJyhrKA+LFkEbg++eSTeo7R0JWxbp0r2qxFKzn8iCOlY4f2GvusU7uOY201lbZt2qkVt+eee0jP/XtIzSIkM8FfTKjayxjs16+fJ5rCAsdFSItrjYSCcitsdMU1MVQf0ReoukOYOMzs2bNVn0QVCbYC0TEIErMtQekBizgVFwYNGqR9Ii666KKyuxic53lNYY0akQMROBc8tIW7kBTWDD5puWEIPDJqx+FG3nPPPWr9p4q0uZB8OLKQBInLBjFzCZkJqzKE3VtliLceETSl1Mt///tfLYVDhgxxKvW7jLzSB9xxmn7QC5PifTNmzpR169dvGzWOy1iOvCIgMV1YWs0yjDTZGhkDZM5YRKvokleq3ymtccHmzZtrtYLcFLS6Jz5DgyrBn2EARA+CaDeD45x7SvfSVJa0/h/+8AeNfUXX7wr6xPAzyEgSw0J1PslZPBYsmK/Hw/tew4/03+hrkGDFCqoL6X5u+sWCXXfdVe9Bqt8prQTmflD3gxtSQILrzABINAgw2WmBT/FBLC3CnVSSAGXmS8zvG6F5DxIlaMJmzfpGtpaU90hSnchBQDwCSxWeE1j04HeD97lJYAw49+Y/EFv5+9//rq4iHYIgL/ozuqhovriTyYjMO7Atq3mLFtp85btvv3VGTeXjJ9fOv8sDXib1PCew6JWEtDwuJGI8Q2aAvgtdFwX2Jk+eLLfddpu6jez8r2q8Kx+sgkyBoocnn3SSXptPp1VctdUlrlw6/1SnIR5O5hFe8AppdSFJGbsVF3FnbEVPLxgg7733nlx55ZU6YbDA+vTpo4PGgvXZB2Wn6dSFsPVbxwpLhFxcOPjOjElUCdFSklSRVgIDLRyzGSuMLja2oieH6hA9qekRI0ZonfqOHTvK5Zdfrv0Z0XfZefcHIC/K7WCNsNCUU+fnINyxTL8A6sp53bkq7QSG7oVJRAbMkByqSjisbqi9kUh06dJFiw/S6quyevWGzOOQQw7RScx8oHRRrsMdyxR4hAfK6OA8QNoJjB3naD5Q3xq8BTq7jz76SPVdkFiPHj1ULOlJnSVDWsAeQFT5aCPJEOdDxZaFCxfqJm68MS8qUEQj7QSGv4vpiP9brkKlodog3jVlyhR1GRcsWKD16tmYzSAx+Bs0w8US+eyzz/Ta5Spc9xHPgNgXWjgv418g7QQG+PCkTj///PPIEUNV4Q4G5BHs5mdQ3HrrrfozjVXRd6XaosqQGZARhsQQE7MvlWuYi3DdR4gar8CLEtKxyAiBocjnxh48Q/XAYGCgEwAePny4XHDBBZph/Oc//ykHHnhg5FWGoGCvvfaSffbZR0aPHq0LUq5m6JH1UFIIzyAd3kFGCIxmEI0bN1a3x1B9zJs3T/7v//5Pbr/9dhk6dKhcfPHFnmpqDJkDsSDq5xPYpgdBLu4XhrwmTJigFicuczqawmSEwLAeIDC2EGBO5u7m7vSAdDubgamcSjD0lVde0WwW5Z/jNdvI1dU8l8B1oyIIRQ8hMOLDueZKkqCAwPAQILGqZteTQUYIDKCBobgb5VysVn7ywGVEIsFm7Pbt26s4FdeDgnmJOgWlY6AYvAdhFSY3scvXX389p9oQQsYULuR70S8zuvYXC6xXi2zGCIzChvjACC7NQkgOqLVpsDFx4kStr05dKfozktE1BB9k5Ehu0YuA2nlkJHNlcXdLOFE6B+kI898FC6xXi2zGCAxrATkFbiSbOjdpbzxDItCe/qmnntK4F+rtM888U1cyQ26BGBgbvVnUUedjcecCcIlJUBx11FFKYom8hVSRMQIDuD2HHnqoTk4L6JcHgxhiR+BImzMaovTv318GDhyYlhS0IfvACsNCOeecc+Stt97SBYvgd5DB5ydWSzGBo48+2pPKq4mQUQLDjCQORq18/ONc1b9UByQ2li1bps026IbNIKCSJ8XwSIAYchfEwCh5hJwCrSTjIMhgbs+aNUsNFkppR7uPXiOjBAYwJdlsTLeiXApapgLiHmy1wuS+7rrrtKcgUglKP3utXDb4D8wJ4sMnnXSSfPjhhzr5g7q440UQy8OLoIxTusdvxgmMADRWBeK2fO4Z6SYysLyICT766KOlBQghL3YvGHIH8RJXscfoEPXDDz9o8Duo2+6Q/PAdqD7DPE93wikrFhjiS2I9Qff1U4GbhaHN1F/+8hctN/zSSy/JySefbFuCchDxsm6xx9BKETPCAmOBDyLo+8jmbXSKbp/ReOTtFdJKYIk+OF8KWQBtvviy+QjSzKTO7733Xu2G/e9//1vjBZTASZRiTudAMGQXXFvmBZIKrC8SXUHyUNyxSYmgqVOnKhG75OWVZCIe0kpgFX1wxJjEfXKpc3eyBIMW7o477tCAPSsV/RmJe2F5VXTO0jkQDNmFe20RKzMmmBfIKoICPj+Ey9imlRzbpNzj6UTGXUgX6F+4WGQscoXEKrpYkBuB2U8//VTJC1ObVer0009X8rKSzwbAIsb2IqQHFD/45ZdfIs/43wKnaCFz+fDDD9f5nQlkjcAAVhjmcm52LSqL9evXa5YRZT3uIwFOsk5edmgx5AYYE1TWXbVqlWqpggAEuEhA6H2B8DpTyCqBEbTET0b0hiWWi8DqwrRmT9jTTz+tq+iFF14YbrPVvHnkVQbDNiA96Nmzp84PkjyuOt/PIQQqAjOPqTrB584UskpgoFOnTnphKurSElSQUkYT89prr8mTTz6pWRncR/YzRnfGNhhi0blzZ7XCWPyovOtnMM7JmrJVkPhdJpF1AuMiseKQOs6F/ZFunAJTmizrs88+q9uCjjnmGNV6UQcKq9NgiEV0jIs5QVaaBX7UqFE6nvwKFmmC9zQrYT5nEr6YSXxxalt98803kSPBBdYk4lSC9f/4xz+0kgQCVQoRVgS/B2gN6Ue0i8h4gLxwJZkXWDh+VOfzOV944QXdScDOkUzDFwRGvWzqhVHnPRcmMu7i4MGDtQYSdbySMav9HN8wZB6MBzSBLondddddviy1g4uL6p4qM/G6YaV7PvuCwNyOvQS1sViCCvZ2speRBrPHH3+8XHPNNbrv0+3PaFaWoSqAxCAGNnojuxkzZozv9g9TeABXl1JP7rah6HGe7oXZN8EYCIyLNW3atMiR4ICVcc6cOXLppZeqJIRNrOi70LlFN5c1K8tQVaALo/Q0mkFa6CGt8AMIkxC3nj9/vialohvWZnKc+4bAyMpRF4ltNWyjqGyfpF+sGeQf1P2+6aabVIxK4UE0XnwPC9YbvAAFAdlixOLIAu8HyRGZRxoq496SMc1WVt1XM4wLhTmK9gVT2e8uF5mXl19+WS8kymNKPqPviq7/bTCkCuppsVvjoIMOUjF0tDo/GyAjOmPGDL0dfPDBGsDPFnxFYJjLiODYS4WqF/V6ImTTHcN8RiJBepu4BBfwxhtv1AYN8VpHQcQW/zKkAkjsvPPO083S3NauXRt5JrMgE0rBRRry9ujRQ72mbFZP8Z2Pg5yCkjK0ESPDAVlkC/FIh9WHAUQrLDZjcxGRSyRyGY24DF4AXRhbdIiHffDBBxp7cpHJMYZRgeic+Bf1yxJVC87UZ/IdgZHJwApDG0ZgPFFht3ScIN4z+n2jrTyO49ZiGd53333a3/Lss8/WWl4VNex038MC+AYvwJibOXOmum+u8DtTYwvri2KFyJ2OPfZY3VmSqGBhpj6T7wgMsNpcdNFFWl6X9HE8skrHCeI9E70vFw+r8LLLLlNLi5b+ZBqB+/nifU6QqYtpCDYSjZ9o0OWHBZ5EF5VbMwka8dDPgooT7OdlnmYbviQwF1wsNokilHORzEX2GsgkyDIS5/r973+vZZ+7du0aeXYbQRlRGVJBsuOHZi9s8KZSRSa3GFHeh7AJVqBf4GsCQxzHRYXx3aBlJkkCKQdtrrhgDBYIjBZnuLfprvVtMCQCmXqkC66sIhNgvyPeEFrNfffdN3I0+/A1gbG7HZ1J9IXKlAWGucyugOuvv14TCWwNQkyI+W7kZcgmiLn26dNHF1jGaLqKILhzjffn7xD/IvbFvPQLfE1ggIaukAaaK7If0RZYMmRWHcJDZ4NEYtiwYRqovPjii+WII47QjIu5iQY/AO8E9TuWEYmldMAd62Q9Kf/OXkcsMD/B9wRGoJDKrdzTuSfdWymQSCBMpR45W4HOP/98Oeyww3wRsDQYXKCVpDEOW9XowYgyPh1gMSf2xeLdu3dv33kfvicwgBVEmV1KMVN327Wq4llDsRZXshYT5jhuKqVBuGeFY28jncQNBj+CMYouDFkFwmqvwZwg9sviTdyLeeg3BILAABeLYmkI6BYtWqTH4rmH1XHxEOdRb4l69WQ8EdKS6aH4oMHgV1C9Be8E8fcrr7xS5VhYZeEViBGPhM3a3PyIwBAYpjL7wbixjSGV9LF74dB2sTEWvdlf//pXlUtce+21qu/K5vYIgyFZsKjTwuydd95R4TdjOlkkWuyZH2T9qWXHe2N9RVdV8RMCQ2AAPxxXEj8ciym6YgUnvbIVxYV74SCv4cOHy4ABA7SVFfXq2c9oMAQFeAls8qbu3OOPP+5J0UMsOUqho3XEwku0XcgPCBSBAeqGkREkQ0gGxr1gkFJV3EdiBlhbd999t14slP+tWrWKPGswBAcs6pRwwjNBqxW9sFeEeAs+5IXb+Pbbb2sfB+abnxE4AqPmFicVacP999+vG76rArI1bAlC17V06VJtdUaWkVI+8ZrLJmvVGQzZArosJA4UFnjqqaeSztTHLvjoHdkqRHEC9I9UmvB7w+XAERggPkV2kMAiWxvQqMQiHvGsWLFCs4xPPPGEWltcJBoREARNVHywKladwZANMHYZz1QCRr+4cOHCarmSkBchFcIpJM2CEAcOJIFBKtRHwsQlaEm2BGsqGrHEg8s4dOhQVRTj25977rnSq1cv03cZcgJYYcRvEX1TITh2PlQGXE86aTVs2FCz8FRYDcLiHUgCA5xcdClcNFYcyoskKr1DlpGYGRIMzGxWKrIrBkOuAFePzl5UBSYjiTWVrBUG2ZEUQ57Ur18/nVdB8TwCS2AuSCNjPtM7D4JyCyDiQiK1oDw1cQEC/v3791fyQmFvMOQakDoQzIe4XEKqDGgg2eGCh7LbbrvpfApS3DfwBAYou4PpixXGhlMuIPEuCq8hjaAQ4RVXXCEnnniir1PCBkMqwGqiHwMNQD766CMtulmRuJV54ta2x+piHoGgWF8gJwiMeBjiU/aHkUrGEqNWPVuBEL7ee++9Gqy3eJchl+ESD24kWkm2xBFeiQesLLwS5guuJ/OHeeQ+FxTkBIEBTj4dsLlnBSLD+Le//U11Xn7cw2UwpAsE9HElqWU3derUyNGyoFzUo48+qtUlCK245AWCZIEVOZP8b5HHgQeZEzRiFBwkHnD11VdrKjhIF8RgqA6wmhjn7j3zgBDKypUrNbaFd+I+B/7+979rIgtROF21YmVE0a/1M3LGAgNcBLZWII8gGPnQQw8ljAEEyUw2GCqDSzbuPcJsthiRmYfIAM9R0eXOO+/UWBl7HJkv8cSqQSAvkFMEBvD9scAQ4/H4jTfeiKtM5gIZiRlyFSzmhx56qFpeZCRJbpHYQqjKvCBgj9Kex0FGoF3IRGYuwXqyjXTLpnsLP7MiRfv5ICirjMFQHZCZR+NFlQrIy20LSDa+U6dOOVFxJfAxsEQkxMpCdgUXEqU+gNSIkxkM+QCsMEiKbCN6SGrpk41H/J0rGflAu5CVWVCQGE0IcCmp5MrqE+1OmgtpyHWwiFP4ECKjeitKe79v0K4KCpxJnJOzONa9xPdHmUxLKrIvuJcGQxCRKHQSe5wAPip7Fm92q9ASMNeQswQWD2+++aaqjtnMffjhh6tJbTDkItB50ZiG8AnjHa1XLiKvCIyvSpMCLixF4M4666zIMwZDbuGee+7RAD7ERTehysItQUVeERhwg/qQGFlJthsZDLmEf/3rX1rUAKnEXnvtlRPZxkTImxhYNBDzsfsea4zd+JdddpllJw2BBnXxkEpQeYVdKGjAkErk+rjOOwvMBSQ2d+5cVSlTdgd3ki0VFaEiUqzoOYMhncDaoiAh5dEZw+wJZo9jPizKeUtggHIibHhF7Mog6NOnj8bGcinNbMhtEBLBm0DnhWyIvY2M4XypvJLXBAb4+osXL9Za4ghdaSNFwUN29BsMfgbK+m+//VbL5rAYU4WFktL55AnkPYG5+OWXX9SdJP1M2pngp8ksDH7F8uXLte4dN2JeRx99dF6WjTICiwKxsJEjR2ow1G0W6gpeOU0W4zL4AcgjqLj61VdfaamcE044odw+33yBuZBxiImmCAwQ2rahoWFTrMGQbTBWUdfTGpAEVN++fbXqSj7DLLA44JQwQMaOHavxsdtvvz3yTHnEI0CDwWswztauXSuXXHKJ1robMGCA7m3M97FnBJYAtGf/9ddftVceAX7EgaSoLUNpyDQIbdDu/7777tNAPRUlGItBr+XlBYzAKgDSCkx2AqV0AO/Zs6feqC1mMGQCFCB4++23dQyyLYiO9MRlbSENwwisEnB6Nm/erC2q2ILEwCHAT/DUhXsKzZU0eAVkEV988YVmxsky0pAZiY/1eCgLI7AqgAGF8BVCa9eunbZssz6TBq/x888/64JJSzSsLWQ93bp1izxriIYRWBWB/obBRY1xBhcmfefOnSPPGgzVB1YXriL1u4i/sh2ILDhFCQ3xYQRWDWCBIbOg5x6DC9ErG2eRW5h5b4gHplmiscFGbNqfYeETpiCBRNlnZDy4j6Ci389nGIGlgCVLlsjEiROVzAiwQmJs5bAO4IZkwNQjw4jL+M0338hrr72m+3G50e7MUDmMwFKEWwng/vvv19T2aaedpjX4CbbGNgs1GFxgZbFtjY5Bw4YN08z2BRdcoA1pLcOYPIzAPACnkPgF/feGDBmitZhQSefj3jRDcqC0+YgRI+Snn37SDvIkhNB1mZtYNRiBeQjcAXQ7FEpEyU+An/ImZCptYBoAWWx0XSSB6IxN7S7GhxvrMlQNRmAeA5dy2bJlGtdAPU2cbI899lCrzKpb5C8YE2PGjFECYwsQmi46BVmGMTUYgaUJFJqjRA+WGCRG7SbqjO2///6arbT4WO6DOBeVIxCjEiclRkqMCxE097YVKHUYgaUZEBfuAlUz2RjOoEZ2wc0t1WPILbjEhSyCrthkpbnWiFHbtm2bt6Vv0gEjsAyB+BidwRHBkmXCCtt55511NaZzcjS4JNWNmaXyu4bUAHEROvjuu+900SLLCHH16tUrr8o8ZxJGYFkANfi5sRKjHUN2ge7HqwoDRmKZhavlwsKeP3++xrkgKxI47GE0pA9GYFkEqXSKJzLw3f1uBHXRBFV1066Rlveo6JySrCE8QLUSMs+ImYl3siDRj5Fqvi6SuTZ2/aoHIzAfgE27r7/+ulplZKgQw7JZnMYiWGS4nMkMbpsEVUdVzhlbfiAuNH+rVq2S6dOny7hx49RVPO6441QSERsOqAx2zVKDEViGEW/AcoyJQcVN2mNBZmQxkV5Qf4zsJVohG+zZBZYyW34++OADvU5YzfQTRYRKD0Yyy1W5PnY9U4cRmI/ACo9bwopOFosJM2XKFHVNsMyOP/54FT/aoE8/XHLhetC2bPjw4XpdiGl1795dmjVrpq4+QXpEqHZNsgMjMJ+CihdMHsqqoCPDzWT1dycR7optHE8PsH6///577YnA4sF5xsoia8xjiAtRsu1ZzD6MwAIAYi4QGZOJvXO0fWPVZ6I1aNBA9t57b5VjWDPe6oPzSykb9HqcV9xBpgYZYva0UpurSZMmRlo+gxFYgICLuX79eiUytqaQAUPtT8bSFUeyPQVCq2owOR+BlcV2L2pxYfEih4CgOIfEHFHLm37L3zACCyi4bMRdEE2iOyKVj2XGZEPtzWREW4bVwA23BwstHy0IBKa441TTxR3H2sIVZ0Fgiw/nEcJv06aNWrK4isA9xwb/wggsh0Bq/9tvv1WrguA/WiSyYwSaCTpjVeBy8jP3PAep5dK+TIYz5ERGl3tukNeaNWuUuBCcQmScK5rCkhzhPHFuDMGDEViAwaWryEJg4lIxFkJj4jKJIS4mLW4S25lwkwhI44Liikbf/A5iVRs2bFBrk5vrBrqqeO6JGfI6BMLEsQjGs6HeKoPkBozAAohExFUZoWGVkM3ESqN5BPIAHuNyYoVwQ0DLROeGi+W6nG6xPaw112KLfpwKYj83f5db9GNegysI0Mzxd4kFQs4E3qlsiiuNG02TFTK1lDFCGY9LCFkbcg9GYDmKeGTGMZcMuIcIuEdzBhkQTyOWxs8QHOSGtQLY5gQJENTGaiPWRtyIn72Gm6Qg+4oVBTFBvlR3AFS+haRosc9nwJokdoVlyX5SyA3idQmW81ARscci3rkz+BNGYHmI2AmKZYP7hasFafAzj7kRJ6PNF4QAsRBT4vchGALivA/HIZhUhhLvg3uLFQipQkTE7SAglzghXDKsuI1u5hXLkBs/Iy1xN8PHfkdDbsIIzKfw0wRErgGpQF4QHI8hN+JNPCbWBumlSmCQj5tUcGNyPMbag9x4TALCYHBhBGYwGAILq2tsMBgCCyMwg8EQWBiBGQyGwMIIzGAwBBZGYAaDIbAwAjMYDIGFEZjBYAgsjMAMBkNgYQRmMBgCCyMwg8EQWBiBGQyGwMIIzGAwBBZGYAaDIbAwAjMYDAGFyP8Di7/EXjwekjIAAAAASUVORK5CYII=[/img]
[b]n = 6 m[br][br][/b]15*2 = 5*n [math]\longrightarrow[/math] simplify[br]30 = 5n [math]\longrightarrow[/math] divide both sides by 5[br]6 = n
What is the value of n in the diagram below?[br][img]data:image/png;base64,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[/img]
[b]n = 5[/b][br][br]9(n+7) = 18(n+1) [math]\longrightarrow[/math] Simplify using distributive property[br]9n + 63 = 18n + 18 [math]\longrightarrow[/math] Subtract 9n from both sides[br]63 = 9n + 18 [math]\longrightarrow[/math] Subtract 18 from both sides[br]45 = 9n [math]\longrightarrow[/math] divide both sides by 9[br]5 = n
What is the value of n in the diagram below?[br][img]data:image/png;base64,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[/img]
[b]n = 4[/b][br][br]8(n+8) = 16(n+2) [math]\longrightarrow[/math] Simplify using distributive property[br]8n+64 = 16n+32 [math]\longrightarrow[/math] Subtract 8n from both sides[br]64 = 8n+32 [math]\longrightarrow[/math] Subtract 32 from both sides[br]32 = 8n [math]\longrightarrow[/math] divide both sides by 8[br]4 = n