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 5 ¬ m / 2 2 n 1 2 5 ¬ n 1 32 2 n 5 ¬ n 1 30 n 5 ¬ 30 13. m / 1 5 ¬ 2 n 1 2 5 ¬ 2(30) 1 2 5 ¬ 62 14. m / 2 5 n 1 32 5 30 1 32 5 62 15. m / X 1 m / 1 5 ¬ 90 m / X 1 62 5 ¬ 90 m / X 5 ¬ 28 Pages 112–114 Practice and Apply 16. m / 1 1 m / 2 5 ¬ 180 m / 1 1 67 5 ¬ 180 m / 1 5 ¬ 113 17. m / 3 1 m / 4 5 ¬ 90 38 1 m / 4 5 ¬ 90 m / 4 5 ¬ 52 18. / 7 and / 8 are complementary, so m / 7 1 m / 8 5 90. Also, m / 5 1 m / 6 1 m / 7 1 m / 8 5 180, so by substitution m / 5 1 m / 6 5 90. m / 6 5 29, so m / 5 5 61. / 5 > / 8 so m / 8 5 m / 5 5 61. Finally, m / 7 1 m / 8 5 90 so m / 7 5 90 2 61 or 29. 19. m / 9 1 m / 10 5 ¬ 180 2 x 2 4 1 2 x 1 4 5 ¬ 180 4 x 5 ¬ 180 x 5 ¬ 45 m / 9 5 ¬ 2 x 2 4 5 ¬ 2(45) 2 4 or 86 m / 10 5 ¬ 2 x 1 4 5 ¬ 2(45) 1 4 or 94 20. m / 11 1 m / 12 5 ¬ 180 4 x 1 2 x 2 6 5 ¬ 180 6 x 2 6 5 ¬ 180 6 x 5 ¬ 186 x 5 ¬ 31 m / 11 5 4 x 5 4(31) or 124 m / 12 5 2 x 2 6 5 2(31) 2 6 or 56 21. / 13 > / 14 m / 13 5 ¬ m / 14 2 x 1 94 5 ¬ 7 x 1 49 2 x 1 45 5 ¬ 7 x 45 5 ¬ 5 x 9 5 ¬ x m / 13 5 2 x 1 94 5 2(9) 1 94 or 112 m / 14 5 7 x 1 49 5 7(9) 1 49 or 112 22. / 15 > / 16 m / 15 5 ¬ m / 16 x 5 ¬ 6 x 2 290 2 5 x 5 ¬ 2 290 x 5 ¬ 58 m / 15 5 m / 16 5 58 23. / 17 > / 18 m / 17 5 ¬ m / 18 2 x 1 7 5 ¬ x 1 30 2 x 5 ¬ x 1 23 x 5 ¬ 23 m / 17 5 2 x 1 7 5 2(23) 1 7 5 53 m / 18 5 x 1 30 5 23 1 30 or 53 24. m / 19 1 m / 20 5 ¬ 180 100 1 20 x 1 20 x 5 ¬ 180 100 1 40 x 5 ¬ 180 40 x 5 ¬ 80 x 5 ¬ 2 m /
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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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This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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