Chapter 9 Exercises

1-Determine the radius of central circle A, knowing that AB = 5x-1 and AC = 2x +2 [br][br] [img 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[/img]
2-Determine the value of x, knowing that O is the center, g is perpendicular to AB, BC = 2x +5 and [br]AC =4x-13. [br][br][br][br][br] [img 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BGQrVmp1Wrkze3z+ZDg0BeCILjd7gsXLjz44IN333339ddff+rUqYsXL9brdVoUPYktixafwqm3GCBbs0KGITMMg+MkPXJ0dHTHHXecPHny7Nmzjz/++COPPHLXXXfddNNNTz75JMm+t9vtsU/Sbrfp0A3cuhYAZGsmaO1hPB5XOxYghzfeeOO22247f/78ExLuvPPOz33uc1MVRSeTSfJOyGazcw0YiJCtWRAEgTh3rFYrZrHolPPnzz/00ENP/CmPP/74iRMnpnpNeZ4nvdVsNhv6L88byJZ86FQr2Q1/gep89rOfffjhh584xi233PLee+9N9VR06Z1IJOYTLPgIyJZMeJ4nnQCcTifurvrlq1/96sDV1o033ihjBU1s9BaLBavvuQLZkgnNZaAkTb+Uy+VHH3305MmTfbJ19913X7hwQcYTYsG1GCBbcuA4jpQf4uRIp0iLotfW1j71qU+dPXv2/PnzjzzyyJ133nnDDTf88Ic/lPfMPp8P7tN5A9mSAy3lQZN4PdJut91uNy2KLpfLm5ub999//3XXXXfbbbfdc889Tz75JMMw8iYt0UJFlPvMD8iWHEjBh8vlwlJLd+TzeVKOYxgyq6JarZL/lb2UJppot9vx9pgTkK2pKRaLyGrpEY7jQqEQLYpOp9PDZGV3d5c8TN74ElruUygUZgsZDAayNTWkksNms+FeqiOkRdFWq7VSqYx4sCAIpPhBXr0ONfT5fL4ZQgZDgWxNR6PRIO/mVCqldixgUmKxGCm+IUXRkwwx7HQ6ZC9ptVplDD2ko8nq9bqskMEoIFvTQformUwmnBPpgna7TY72yMZwqsob6mbY3Nyc9uf2ej1y1oz+a/MAsjUFLMuSmzZalOiCg4MDOina4/HIqHWnUxFltCTa2dkhWnl0dDTt94LRQLamIJFIYOWvCziOo03QDAZDLBaTV8nAcRwZH2cymSZpBSGl2WyizH5OQLamgLyD3W43kvFaRjqrwmKxlEqlWZ6tVqvRpjTTah/J68MJoTiQrUmhdh4k47XM3t6edFbFtEukgdD8ejgclveNh4eHs4cBKJCtSSFzEBiGQbd4bdLtdmmXUXJ3UXCNEwwGydNOtXbrdrtkpRYKhZSKBIiQrQkRBIEkd/1+v9qxgAGUSiVilSKbstG2LBnQST8Wi2WqFDuZbGY2m9EmREEgWxNRqVTIRwK9K7WGtCiaHPLOqWmMvKmI1EVRLpfnEdVqAtmaCHIshcNsrdFqtaid3Ww2z7uYhhb9TN4YkmVZIqnT5sXACCBb4xEEgfTb9Xg8ascCPqZQKNDsu9vt7nQ68/6J1A/BMEyj0Zjwu4jf1Wq14jxRKSBb46nX6zDgaAqO46gR1GAwbG9vLyxz1G63SZbT6XROWClBO0piHJlSQLbGQ3vGT36DBfOjVqtRW5bVap3RliWDTCZDfvqERT/Ud4qWp0oB2RoPOVZ3OBxqBwLERCJBi6L9fr9aqUbaAGfCPpFka4mGEEoB2RqDIAgkgbK9va12LCvN0dHRxsYG3RjG43EVU0W9Xo8MQDGZTJOUOsZiMYPBYDQaYYNQBMjWGMrlMvmcoOWbihweHpJTEWLLkp0k+uUvf/nyyy8/88wzr7/++u9+97tZQqpWq5MX/dDWkujirQiQrTGQfCrDMOhUowo8z+/s7FBb1tbWlozuV4Rms/n1r3+9VCpdu3bt97//vd/vz2Qys8RG/RBjO4JwHEc0Dqc6igDZGgNJbLlcLrUDWUUajQbJCpHt2IxdsIPB4E9+8hP6z9/85jff+973ZnlCQRBoM6+xJwPEX+b1emf5iYAA2RoFz/PkPo8GW4snl8tRW5bP55s9+/61r33tww8/VCQ2SrvdJkHabLbRy0C6NMPk19mBbI2COrZkdIkDspHOqjDM0C2rj6eeemr2JznOwcEBubeNLvqhczHg3podyNYo6DxE9AVcGNVqlc6qmL1blhSj0fiHP/xB+pW+f8qGtOo2jGxq1Gq1yGMmLwwCw4BsjYK8HY1GI8oyZFAuiy6XyDDiN78pTtiRIZ1OU1vWxsaGsvU63/nOd6S5rV/96lcXL15U5Jk5jqNSO6L5BNlODuwuXyiIBoOIY8YJgWyNYn193YBSRFk0GqLNJv7nf4qiKFYq4sWL4nvvjXp8q9Wik6IZhslkMorfKhqNxvPPP//OO++Iovj++++/+OKLly9fVurJq9Uq2So6HI5h2SuSlR9oOg2FxK0tEV25JgSyNQriFQoGg2oHoj9CITGf//ifb70ljji1k2bfnU5nrVabU1TvvPOOw+F46qmnXnjhhR/96EfKPjnxlJL11EDNJQk7i8XS93VBEI1G8cMPRZNJxLJ+EiBbQ+l2u+RdKG808YrzwguiNI3+4Yfi888PeFiv14tEIgvolrUABEEgy/NhZzi0R3PfmePbb4ukuvHSJbFYXEyw+gayNRRaATujXWg1MRj6v8Iw/V9pNBq0JekCumUtAJZlyVDYgUU/9DCx74Rna0v86U9FURTfekvEWMVJgGwNhb7J5rdnWWJeeEG8evXjf/J8/2ormUxqoShacYrFIlk8er3ePt8GvRFK12LXronPPy8aDB/9MZnEa9cWHrTegGwNhbZJQvmrDL73vY9WEIR/+ZePc1ssy5IO63QPvmQHtWRaCnGcSb8uCAL5urTEp1QS19c/fswrr4hvv72wSPUKZGsoxP1wPIEKJqHZFC9eFH/xC1EUxV/8Qrx4USTNyiqViiJF0VqG4zjaEaz4p8kq0jdC2qD5+9//E99DoSCie/NYIFtDIW1SUI0om3ffFb/5TZFhRLdbfPddURAEaVF0OBzWb/Z9LI1Gg2yB+yb9eDwe4qcn/7x2TXzxxT/ZFV67Jtrt2CeOAbI1FGIgxIQ7RWi1WrTq2GQyFVfgwIw2QfX7/XQXTHpJ2+12dWPTO5CtoZC9DAauzE46naaLLJ/Pt4BZFRqBjpul7ZhJ5sFqtaobmN6BbA2FfNLQIGkWOI6TZt9TqdRKnW+wLEuSWQzDkCxeIpEgl2LJTiEWDGRrMCzLkrfXjJ3kVplyuSzNvh8eHqodkQocHh6S+5/dbuc4jhbnL43hQxUgW4PpdDrwmk5IPp//7ne/e+nSpbfeeuvq1avisUnR4XC42+2qHaZq0KKfaDS6tbX1wAMP3HfffalU6qrU2AamAbI1GNpmBLI1gmKxeNdd991++1+eOfN3997796dPnzt9+szly5fppGiTyZSXliauJDzPezyec+fOffKTp2699d67737pzJn/d8cdj5w+fWYVjibmAWRrMNVqlXzwVnNrMwnFYvGmm2599NG3qMPbYBAfeST/Z39267lz5wwGg9vtbjabaoepCbLZ7Cc+ceNXvrLfd61OnvwMlEsGkK3BVCoVIlsj2ietOHfddV+fZtFP4003/flrr722xLasabnrrvseeeSfB16r06fPfPDBB2oHqDMgW4OBbI0mn8+vrf3V8c8h+fO5z/2Ngq2s9M7oa3X69Dlcq2mBbA0GsjWaV1999cyZvxv2Ubz33r+/dOmS2jFqBVwrxYFsDQayNRp8FCcH10pxIFuDgWyNJp/P3377Q9j4TAI2iYoD2RoMZGsEPM9Ho9FPfvJU39EY0szDGHF8gWslA8jWYBqNxsDGI6DVapGuLOfOnTtx4s+/8pV+A8TaGuxI/RSLxdtu+zyulVJAtgYDl/xA+mZVvPnmm6dPn1lb+yup3RSfw4EUi8XTp8+cOvW//8du+iiulWwgW4M5OjoiH07MoyawLNs3KZrYsjiOe+utt1599dVLly5dvnwZ+50RkGnb999//3333RePx3GtZAPZGgztn0tbjqwylUqFdDIgTVdQOSAbdPpWBMjWUNC4hiAtivb7/X3DssBU0MY1ageibyBbQyFNVwaOPl8ROp0OHfxnNBpTqRS6RM0I2gQqAmRrKH1tv1eNvuw7iqIVgTRNdLvdageibyBbQ1nZERg8z9ORWYZln1WxYNxut8FgCAQCageibyBbQ1nNgWPUlmUwGMxmM/wfynJ84BiQAWRrKHt7e+TTuzpJ6FQqRTeGyL4rTrfbJdc2lUqpHYu+gWwNpVAokDdZvV5XO5a5w7Iszb4T2wey74rTbDbJ5UXH1xmBbA1ldd5ksGUthpW6Ec4VyNZQ6JI+mUyqHcu84Hk+FotRW1YoFMLGcH6k0+lVSzvMCcjWKIh1KxgMqh3IXJBm341GI7Lv84ZUR63aIc88gGyNgqR7vF6v2oEoD2xZi8fn8xkMBp/Pp3YgugeyNQrigTCZTMuUn+71elJbVjQahS1rMZjN5hWvu1AKyNYo6AzhpcmhIvuuFnTyZjqdVjsW3QPZGkW9XidvteVoX4OiaBXJ5/PkylerVbVj0T2QrVHwPE8+59FoVO1YZkJqy2IYBrasxbO7u0uuP7bkswPZGoPf79d7ZWIulyNZFWTfVcTr9S7r8c7igWyNgfR1Yxim1+upHcvUoChaI3AcZzQaDWjfphCQrTGUy2XymS8UCmrHMh3tdpv0G4AtS3WKxSJ5IQ4ODtSOZRmAbI1BEATib9re3lY7linIZDJ0Y+j3+9vtttoRrTSxWIzcPNCLWREgW+Mh6S2Hw6F2IBPR6/W2traQfdcUTqcTRlMFgWyNJ5VKERVoNBpqxzKGcrlMbVk2m61Wq6kdEfi4Jh/jVJQCsjUe6t7Scj5VEITd3V1qy9ra2up2u2oHBURRMq0Hji2lgGyNRxAEUlPt8XjUjmUwR0dHpN6NlCIh76spyEtjtVqxW1cKyNZERKNRkio6OjpSO5Z+isUi3Rh6PB5k3zUFy7JkCYxGzAoC2ZqISqVCdCGbzaody8dwHBeJRMingmGYeDyOgyqtkcvlyDunXC6rHcvyANmaCEEQiJ/A7/erHctH1Ot1cj5lMBjMZjOy79qETBgzm824oygIZGtSiN2cYRgtpLpTqRRxXZN6kU6no3ZEYADdbpe8TKFQSO1YlgrI1qRUq1UiE+qOXen1esFgkNqyUqkUbuOahXZhRoMgZYFsTQHZlLndbrWOhKrVqsPhIJ8Eh8OxNF3AlhVSPm2323GGqCyQrSlIJBJEMhavF4IgxONxasva3NzUY2n3SkFdplq2++kUyNYUsCxLUhULbr9VrValk6ILhQLu3tpnZ2dHs6YZvQPZmg7aXX5hix1pS1Jk3/VCr9dD5/j5AdmajkajsbDEfLfbpdl3g8Gwu7uL7LteoMl45B/nAWRrakhDCJvNNtedmrQo2uFwwJalIwRBsNvtaPkwPyBbU0Nbvs2p8V5fUTSy77qDTrvQXWtJvQDZkgNxIbhcLsUXXM1mU9qSNJPJIPuuO8grCN/D/IBsyYHOT1S218L+/j6dFI3su04plUrkFdzb21M7lqUFsiUHjuPIOZFSrWw4juubVYHsu04hqU+z2Yyt/fyAbMmE9n6bPcPVVxSNWRX6hfZ7QCPTuQLZkgnP8+Skz+l0zpLCkBZFY1K03iGuYIvFgsFucwWyJR/aYz6dTsv49qOjIzopmtyfkcHVNVhqLQzIlnyoPcdqtU57dz04OKADwex2OzoE6B2e50nnbpvNhrzkvIFszQS9wU5eLisIwvb2NrVlYVL0ckBznZrqf7usQLZmhTQnYRim1WqNfbA0+05sWQuIEMybdrtNEpQejwc7/QUA2ZqVWq1Glk5jKzkymQzNvrvd7mazuZgIwbwhnZcNBkOlUlE7lpUAsqUAZK6PwWDY398f+IBer0fsPITt7W2kP5YGWsqz4HZGqwxkSwF6vZ7FYiGuq+Od5huNBt0YWiwWDDFcJqQvPfylCwOypQy03Kevv5K0W1YgEIAta8kg/ddQyrNgIFuKQRMcpVJJFEWWZakti8yqQLJ2ySiVSuSetL6+jhd3kUC2FKPdbhMrls1m29/fp92yXC5Xo9FQOzqgMBzHkUYgJpNpkkNkoCCQLSUpFAoXLlx46KGHHnjgAbpnRMpjKdna2lKqKBVMC2RLSer1+pe//OW1tbW1tbXHHnsMXeKWlf39fZVkSlEAAAmtSURBVJqvxPZw8UC2FIPYsp5++ukvfOEL99xzz9NPP4294VLSbDZJWzSbzYapPKoA2VKAXq+3sbFBbVnRaPS5554jzSFQuLNk8DxPmpcajUYYhtUCsjUrh4eHpIZWWhRNaxVDoRA2EcsEUlpaALIlH57nY7GYtCha6jWl3UqTyaSKQQIFoWPEwuGw2rGsNJAtmXQ6HTop2mQyHc++8zxPCnoYhimXy6oECRSkUqmQklKv14vaLHWBbMlBOqvC7Xa32+2BD2NZlri3TCYT0vO6ptls0iKeYS83WBiQrengOC4UCtHs++7u7ujUVa1WI7doq9WKDK5OabVapB8kwzCYs6sFIFtTUK1WiTGayFCxWJzku4rFIsl/2Ww21CTqjl6vRyrhGYaBEU8jQLYmJZ1O0+z7+vr6VAK0t7dHjxqPt4gAmqXX69EMZiqVUjsc8BGQrfG0223SwpQWRcvIyMZiMfIMXq8X5T66gOM42iUtFoupHQ74GMjWGAqFAsnFEvvoLJl12uTE7/fDhqpxBEGgmhUOh2G+0xSQraH0TYpWpCUpTecHAgEcomsW6TorGAxCs7QGZGsw9Xqd1HCQM+98Pq/UM29ubtLdIvJcGkTaQXtzcxOapUEgWwNIp9PSSdGK+3Tomstut+NsUVNIc/BYZ2kWyNaf0Ov1pC1Jk8nknN64NM9ls9ng59IIrVaLGlyQz9IyyyNbv/3tbx977LFTp069/vrr110n5/cql8u0KNrpdM57UjQ9WzSbzaj+UZ1ms0k8peTcEJqlZZZHtl566aXXXnvtj3/840svvTStbAmCsLu7S21ZC2tJure3R3ajRqMRE31UpFKpkPNiYnBROxwwhuWRrc985jPkbI5l2alkq9PpUFuWyWQaNutwThSLRZpHm9+eFIyApjLhg9cLyyNbn/jEJ+jfJ5ctaVH0jLYs2dRqNTovIxQKwYy6MHiep/2zzGYz6g31wvLI1qc//Wmy2vrggw8mka1pi6LnCsuy9NDdarXi87MAms0mPTT0er2dTkftiMCkLI9sud3u1157TRRFj8dz/fXXj35wrVaTdsvSQkac53nqbmUYJpPJYMM4P6Sr7HA4DOuvvlge2WJZ9vz58ydPnoxEIidOnBjxSOmk6PX1dU1NMcjlcvTjFAwG4UdVHOkq22g0oreyHlke2aIkk8nHHnts4H91u126F2MYZm9vT4MrGql7yGazTdgeB0xCqVSiLgc45vTL8siW0+m8+eabb7jhhnPnzr3//vt9/8uybLFYpEXRDoejWq2qEuck9I0C2trawrJrRnq9XiQSoavsQCCA+gT9sjyyNYJCoWC1WulbNhqN6qIBQ6FQMJvN9Jxrf39fg2tDXZDP5+kdy2Qy5XI5XElds+SyJc1zayf7PjntdjsQCND4fT5fq9VSOyg90W63abUWSWXiAi4ByyxbrVaLHhdarVafz6ep7PvkZLNZulhgGCYej+titaguPM8nk0lq5TWbzdpMZQIZLK1s9Xq9YDBIb7PxeFzXh9y9Xi8ajdJ9rtVqzWaz+BAOI5fL0fJSkhaAiXeZWE7ZOjw8pIdxdrtdy9n3qajVarQOyWAwuFwupGn6yOVydIltMBg8Hs/SvPqAsmyyJQhCPB6nq5JgMKjTjeEIcrkcPcUnn8yDgwOIV6lU8vl89LLYbDYsSJeVpZItlmWlRdHpdHpZ37WCIKRSKVrJuMorL0EQ8vm8x+Ohl8Jiseg9JwBGszyylc/nqV3A7XavwoERyTrT35osMVKp1IrkcXq9Xjqdli48zWZzIpHAecXSswyyxXEcreM3GAw7OzsrdaflOC6bzdJcHllpRqPRer2udmjzotVq7e7uSvXabren0+kV0Wuge9mq1+tSl8MqN9srFovS5A5ZdaZSqaVx2He73XQ6LT2UMBgMPp+vUCis1I0K6Fu2pEXRKNcgNBqNSCRC/UoGg4FhGL/fn81mdXo6wbJsLpcLBAJ9v1QoFEKHn9VEr7LFsqzU/bzE2Xd5sCwbj8edTqd0YcIwjMfjicfjqnRDnJZms5lKpfx+P70z0f1gPB5He6xVRpeylcvlaF7D4XDgljuCarUaDoelaSB63ba3twuFgqYS2BzHFYvF44JL0u2hUKhcLuP+BHQmW301huFwWFOfOs0iCMLh4WE0GpV6x+kSzO12R6PR/f39RqOxeFFot9uFQmF3d9fr9dJeYxSr1RoOh8vlMl5oQNGTbElrDM1mMxq8yUAQhHq9TjZfxzXCYDAYjUaPxxMMBpPJZC6Xq9VqCma7u91us9ksFArpdHpra8vn8x1fBpIYfD5fIpGoVCpYW4Hj6Ea2pG0//X4/su+zIwhCuVxOJpM+n68vf9SHxWJxuVyhUCgcDsfj8Uwmk8vlcrnc4eFh5RilUon8byqVSiQS0Wh0Y2PD7XZLzbED8Xg8sVjs4OAACyswGh3IFsuy0uYtiUQCd2DF4Xm+Xq9ns9lIJOL3+4/vJRXHYrF4vd5QKJROpyuVCqQKTI7WZatSqdC7tNVqnfekaEAhG7p8Pp9IJCKRyMbGhsPhkCFnVqvV7XYHAoFwOJxMJvP5fL1ex2IZzIKmZUtqywqHw/BAawSWZTudTqvVOr5DrFQq9Xq90+l0Oh0soMCc0KhsdTodasvCeBUAgBQtypY0++50OjFeBQAgRVuy1WfLisVi2GgAAPrQkGz1tX5H9h0AMBCtyFY2m4UtCwAwCerLlrQommEY2LIAAKNRWbaktixk3wEAk6CmbPXZspB9BwBMgjqyBVsWAEA2KshWX1F0u91efAwAAP2yUNnqs2Uh+w4AkMHiZAu2LACAIixItlKpFN0YhkIh2LIAALKZu2xJbVnIvgMAZme+slUqlWDLAgAoy7xkSxAEqS0rGo3ClgUAUIS5yFan06HjkZF9BwAoi/KyVSgUaPbd5/Mh+w4AUBYlZavb7W5ublJbViqVUnBWFQAAEBSTrWq16nA4iGDZ7XZsDAEAc0IB2erLvofD4W63O/vTAgDAQGaVrVar5Xa7YcsCACyMmWRLWhTtcDhqtZpSYQEAwDBkyhbP8zs7O2RjyDDM9vY2bFkAgMUgR7YajYa0KLparSoeFgAADGNq2Uqn03RjGAgEYMsCACyYKWTr6OiIet8Zhtnb20O3LADA4plUtiqVit1uJ5pls9kqlcpcwwIAgGGMly1BEGKxmNFopEXRsGUBAFRkjGw1m01qyzKbzQcHB4sJCwAAhjFKtvb396VF0ZhVAQDQAoNlSxCESCRCi6Lj8Tiy7wAAjTBAtur1Ot0YWq3Wcrm8+LAAAGAY/x8hCxqZKJPstwAAAABJRU5ErkJggg==[/img]
3-Determine the value of x, knowing that [math]\ \overrightarrow{PB} [/math] and [math]\ \overrightarrow{PA} [/math] are tangent to the circumference, PB= 3x-15 and PA=2x-10. [br][br] [img]data:image/png;base64,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[/img]
4 (Dolce & Pompeu)- The distance between the centers of two outer tangent circumferences is 33 cm. Determine your diameters, knowing what the ratio measure of your radii is. [math]\frac{4}{7}[/math].
5 (Dolce & Pompeu)- The internal distance between the centers of two tangent circles is 5 cm. If the sum of the radii is 11 cm, determine the length for each radii. [br]
 6 (UnB–adaptada) – From a point [b]A, [/b]outside a circumference, two tangent lines are drawn, as shown in the[br]following figure, the tangent segments [b]AE [/b]and [b]AF[/b], which are necessarily congruent, and measure each one 23.5 cm. At one of the extreme arcs[b] F [/b]and[b] E, [/b]a point[b] G [/b]is randomly chosen by drawing the segment [b]HI[/b], tangent to the circumference in G. Determine the perimeter of the triangle [b]AHI[/b]. [br][br] 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[/img]
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Information: Chapter 9 Exercises