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Pre-Calculus Homework Solutions 45

Pre-Calculus Homework Solutions 45 - 19 5 100 1 20 x 5 100...

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11. Given: ABC is a right angle. Prove: 1 and 2 are complementary angles. Proof: 12. 1 and 2 are complementary to X , so 1 2. m 1 ¬ m 2 2 n 2 ¬ n 32 2 n ¬ n 30 n ¬ 30 13. m 1 ¬ 2 n 2 ¬ 2(30) 2 ¬ 62 14. m 2 n 32 30 32 62 15. m X m 1 ¬ 90 m X 62 ¬ 90 m X ¬ 28 Pages 112–114 Practice and Apply 16. m 1 m 2 ¬ 180 m 1 67 ¬ 180 m 1 ¬ 113 17. m 3 m 4 ¬ 90 38 m 4 ¬ 90 m 4 ¬ 52 18. 7 and 8 are complementary, so m 7 m 8 90. Also, m 5 m 6 m 7 m 8 180, so by substitution m 5 m 6 90. m 6 29, so m 5 61. 5 8 so m 8 m 5 61. Finally, m 7 m 8 90 so m 7 90 61 or 29. 19. m 9 m 10 ¬ 180 2 x 4 2 x 4 ¬ 180 4 x ¬ 180 x ¬ 45 m 9 ¬ 2 x 4 ¬ 2(45) 4 or 86 m 10 ¬ 2 x 4 ¬ 2(45) 4 or 94 20. m 11 m 12 ¬ 180 4 x 2 x 6 ¬ 180 6 x 6 ¬ 180 6 x ¬ 186 x ¬ 31 m 11 4 x 4(31) or 124 m 12 2 x 6 2(31) 6 or 56 21. 13 14 m 13 ¬ m 14 2 x 94 ¬ 7 x 49 2 x 45 ¬ 7 x 45 ¬ 5 x 9 ¬ x m 13 2 x 94 2(9) 94 or 112 m 14 7 x 49 7(9) 49 or 112 22. 15 16 m 15 ¬ m 16 x ¬ 6 x 290 5 x ¬ 290 x ¬ 58 m 15 m 16 58 23. 17 18 m 17 ¬ m 18 2 x 7 ¬ x 30 2 x ¬ x 23 x ¬ 23 m 17 2 x 7 2(23) 7 53 m 18 x 30 23 30 or 53 24. m 19 m 20 ¬ 180 100
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Unformatted text preview: 19 5 100 1 20 x 5 100 1 20(2) or 140 m / 20 5 20 x 5 20(2) or 40 25. Given: / A Prove: / A > / A Proof: A C B A 1 2 47 Chapter 2 Statements Reasons 1. / A is an angle. 1. Given 2. m / A 5 m / A 2. Reflexive Prop. 3. / A > / A 3. Def. of > angles Statements Reasons 1. / ABC is a right angle. 1. Given 2. m / ABC 5 90 2. Def. of rt. / 3. m / ABC 5 m / 1 1 m / 2 3. Angle Add. Post. 4. m / 1 1 m / 2 5 90 4. Substitution 5. / 1 and / 2 are complementary angles. 5. Def. of comp. ?...
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