Pre-Calculus Homework Solutions 22

# Pre-Calculus Homework Solutions 22 - Chapter 2 Reasoning...

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Chapter 2 24 Chapter 2 Reasoning and Proof Page 61 Getting Started 1. 3 n 2 2 5 3(4) 2 2 5 12 2 2 5 10 2. ( n 1 1) 1 n 5 (6 1 1) 1 6 5 7 1 6 5 13 3. n 2 2 3 n 5 (3) 2 2 3(3) 5 9 2 3(3) 5 9 2 9 5 0 4. 180( n 2 2) 5 180(5 2 2) 5 180(3) 5 540 5. n 1 } n 2 } 2 5 ¬ 10 1 } 1 2 0 } 2 5 ¬ 10(5) 5 50 6. } n ( n 2 2 3) } 5 ¬ } 8(8 2 2 3) } 5 ¬ } 8( 2 5) } 5 ¬ } 4 2 0 } 5 20 7. 6 x 2 42 5 ¬ 4 x 2 42 5 ¬ 2 2 x 21 5 ¬ x 8. 8 2 3 n 5 ¬ 2 2 1 2 n 10 2 3 n 5 ¬ 2 n 10 5 ¬ 5 n 2 5 ¬ n 9. 3( y 1 2) 5 ¬ 2 12 1 y 3 y 1 6 5 ¬ 2 12 1 y 3 y 5 ¬ 2 18 1 y 2 y 5 ¬ 2 18 y 5 ¬ 2 9 10. 12 1 7 x 5 ¬ x 2 18 7 x 5 ¬ x 2 30 6 x 5 ¬ 2 30 x 5 ¬ 2 5 11. 3 x 1 4 5 ¬ } 1 2 } x 2 5 3 x 5 ¬ } 1 2 } x 2 9 } 5 2 } x 5 ¬ 2 9 x 5 ¬ 2 } 1 5 8 } 12. 2 2 2 x 5 ¬ } 2 3 } x 2 2 4 2 2 x 5 ¬ } 2 3 } x 4 5 ¬ } 8 3 } x } 3 2 } 5 ¬ x 13. / AGB and / EGD are vertical angles, so m / AGB 5 m / EGD . 4 x 1 7 5 ¬ 71 4 x 5 ¬ 64 x 5 ¬ 16 14. m / BGC 1 m / CGD 1 m / DGE 5 180 45 1 8 x 1 4 1 15 x 2 7 5 ¬ 180 23 x 1 42 5 ¬ 180 23 x 5 ¬ 138 x 5 ¬ 6 Inductive Reasoning and Conjecture Pages 63–64 Check for Understanding 1. Sample answer: After the news is over, it’s time for dinner.
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