Pre-Calculus Homework Solutions 143

Pre-Calculus Homework Solutions 143 - 14 In ABO and CBO AB...

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145 Chapter 5 14. In ABO and CBO , AB CB , OB OB , and m CBO m ABO . The SAS Inequality allows us to conclude that OC OA . 15. In ABC , AB CB so ABC is isosceles with base angles of measure 1 2 [180 (40 60)] or 40. m AOB ¬ 180 ( m OAB m ABO ) ¬ 180 (40 60) ¬ 80 m AOD ¬ 180 m AOB ¬ 100 Therefore, m AOD m AOB . 16. By the SAS Inequality, 10 3 x 2. 10 ¬ 3 x 2 12 ¬ 3 x 4 ¬ x or x 4 17. The triangle on the left is equilateral, so all angles have measure 60. Then by the SAS inequality, x 2 2 x 8. x 2 ¬ 2 x 8 2 ¬ x 8 10 ¬ x The measure of any side is always greater than 0. 2 x 8 ¬ 0 2 x ¬ 8 x ¬ 4 The two inequalities can be written as the compound inequality 4 x 10. 18. MC MC , so by the SSS Inequality m 1 m 2. 5 x 20 ¬ 8 x 100 20 ¬ 3 x 100 120 ¬ 3 x 40 ¬ x The measure of any angle is always greater than 0. 8 x 100 ¬ 0 8 x ¬ 100 x ¬ 12.5 The two inequalities can be written as the compound inequality 12.5 x 40. 19. RTV TRV , so RVT is isosceles and RV TV . SV SV and RS ST , so by the SSS
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