Pre-Calculus Homework Solutions 203

Pre-Calculus Homework Solutions 203 - 15 5¬ 5 y 15y¬ y¬...

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Unformatted text preview: 15 5¬ 5 y 15y¬ y¬ x¬ 53. 25 5 3 15x¬ 58. 59. 60. z2 15 40 ¬ 3 57. 40 3 z x z2 200¬ z2 200¬ z 10 2¬ z 14.1¬ z In ALK and ALN, AL AL, KL NL, and AK AN. Then m ALK m ALN by the SSS Inequality. In ALK and NLO, AL OL, KL NL, and AK NO. So, m ALK m NLO by the SSS Inequality. In OLK and NLO, LO LO, KL NL, and KO NO. So, m OLK m NLO by the SSS Inequality. In KLO and ALN, KL NL, LO AL, and AN KO. KLO ALN by SSS Congruence. So m KLO¬ m ALN by CPCTC and the definition of congruent angles. JK [ 1 ( 3)]2 (5 2)2 22 32 13 RS [ 4 ( 6)]2 (3 6)2 22 ( 3)2 13 KL [4 ( 1)]2 (4 5)2 52 ( 1)2 26 ST [1 ( 4)]2 (4 3)2 52 12 26 JL [4 ( 3)]2 (4 2)2 72 22 53 RT [1 ( 6)]2 (4 6)2 72 ( 2)2 53 JKL RST by SSS. x 5¬ 3 15¬ x x 0.14 9 x 1.26 61. 0.5¬ 0.5k¬ k¬ 0.25 0.25n n 65. 24 x 24 60 5 3 15 z¬ 56. 15 13 65 7 63. n 7 28 64. 9 7.2 y x¬ 55. 15 x¬ 54. 13 g 62. 0.2 0.2g g 0.4 0.4x x 66. m 0.8 m 35 y¬ 0.07 0.07y y 35¬ 500¬ Page 363 Practice Quiz 1 1. Let 21 x¬ x2¬ x¬ x¬ 2. Let 9 x¬ x2¬ x¬ x¬ 3. AB x represent the measure of the altitude. x 7 147 147 or 7 3 12.1 x represent the measure of the altitude. x 5 45 45 or 3 5 6.7 (4 2)2 (0 1)2 22 ( 1)2 5 BC (5 4)2 (7 0)2 12 72 50 AC (5 2)2 (7 1)2 32 62 45 AB2 AC2¬ BC2 ( 5)2 ( 45)2¬ ( 50)2 5 45¬ 50 50¬ 50 The triangle is a right triangle because the side lengths satisfy the Pythagorean Theorem. 4. x 3 y ( 2)3 or 3 2 5. x 2(6) or 12 y 3(6) or 6 3 7-4 10 k Trigonometry Page 365 Geometry Activity: Trigonometric Ratios 10 20 1. They are similar triangles because corresponding sides are proportional. 205 Chapter 7 ...
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