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Pre-Calculus Homework Solutions 159

Pre-Calculus Homework Solutions 159 - 68 You could use the...

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68. You could use the slope formula to find that BC B C . Thus, ABC A B C and ACB A C B because of corresponding angles. A A because of the Third Angle Theorem. 69. The sides are proportional and the angles are congruent, so the triangles are similar. Page 297 Maintain Your Skills 70. 7 b .8 ¬ 2 3 3 b ¬ 7.8(2) 3 b ¬ 15.6 b ¬ 5.2 71. c c 2 3 ¬ 5 4 ( c 2)(4) ¬ ( c 3)(5) 4 c 8 ¬ 5 c 15 c 8 ¬ 15 c ¬ 23 c ¬ 23 72. 4 y 2 5 ¬ y 4 2 y ¬ (4 y 5)( 4) 2 y ¬ 16 y 20 18 y ¬ 20 y ¬ 1 9 0 73. BC BA , BO BO , and m OBC m OBA . By the SAS Inequality, OC AO . 74. ABC is isosceles with base angles 1 2 [180 (68 40)] 36. Then m AOB 180 (40 36) 104 and m AOD 180 104 76 so, m AOD m AOB . 75. m ABD m ADB because if one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. 76. x 52 35 180 x 93 77. x 32 57 180 x 91 78. x 40 25 180 x 115 79. m 1 ¬ m 2 10 x 9 ¬ 9 x 3 x 9 ¬ 3 x ¬ 12 m 1 10(12) 9 120 9 or 111 m 2 9(12) 3 108 3 or 111 80. m 1 m 4 ( alternate interior ) 118) 81. m 2 m 4 180 (supplementary consecutive interior ) m 2 118 180 m 2 62 82. m
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