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Pre-Calculus Homework Solutions 215

# Pre-Calculus Homework Solutions 215 - 36 12 x 12 2 12 2 2 2...

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36. 12 5 ¬ x Ï 2 w } Ï 12 2 w } 5 ¬ x } Ï 12 2 w } ? } Ï Ï 2 w 2 w } 5 x } 12 2 Ï 2 w } 5 ¬ x 6 Ï 2 w 5 ¬ x y 5 ¬ x y 5 ¬ 6 Ï 2 w 37. x 5 14 Ï 3 w y 5 2(14) or 28 38. 20 5 2 y 10 5 y x 5 ¬ y Ï 3 w x 5 ¬ 10 Ï 3 w 39. Let , be the length of the model. 5 } 7 , 8 } 5 ¬ } 3 9 6 0 } 90 , 5 ¬ 78(36) 90 , 5 ¬ 2808 , 5 ¬ 31.2 The length of the model is 31.2 cm. 40a. / 1 > / 2 40b. AAS 40c. F w X w > G w X w 40d. CPCTC 40e. / 4 > / 3 40f. Isosceles Triangle Theorem 41. } 6 x } 5 ¬ } 3 4 5 2 } 42 x 5 ¬ 6(35) 42 x 5 ¬ 210 x 5 ¬ 5 42. } 3 x } 5 ¬ } 4 5 5 } 3(45) 5 ¬ 5 x 135 5 ¬ 5 x 27 5 ¬ x 43. } 1 1 2 7 } 5 ¬ } 2 x 4 } 12 x 5 ¬ 17(24) 12 x 5 ¬ 408 x 5 ¬ 34 44. } 2 3 4 6 } 5 ¬ } 1 x 5 } 24(15) 5 ¬ 36 x 360 5 ¬ 36 x 10 5 ¬ x 45. } 1 1 2 3 } 5 ¬ } 4 x 8 } 12 x 5 ¬ 13(48) 12 x 5 ¬ 624 x 5 ¬ 52 46. } 1 x 8 } 5 ¬ } 5 8 } 8 x 5 ¬ 18(5) 8 x 5 ¬ 90 x 5 ¬ 11.25 47. } 2 1 8 5 } 5 ¬ } 7 x } 28 x 5 ¬ 15(7) 28 x 5 ¬ 105 x 5 ¬ 3.75 48. } 4 x 0 } 5 ¬ } 2 3 6 } 26 x 5 ¬ 40(3) 26 x 5 ¬ 120 x 5 ¬ } 6 1 0 3 } The Law of Sines Pages 380–381 Check for Understanding 1. Felipe; Makayla is using the definition of the sine ratio for a right triangle, but this is not a right triangle. 2. Sample answer: Let m / D 5 65, m / E 5 73, and d 5 15. Then } sin 1 6 5 } is the fixed ratio or scale factor for the Law of Sines extended proportion. The length of e is found by using } sin 1 6 5 } 5 } sin e 73° } . The m / F is found by evaluating 180 2 ( m / D 1 m / E ). In this problem m / F 5 42. The length of f is found by using
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