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Pre-Calculus Homework Solutions 50

# Pre-Calculus Homework Solutions 50 - 54 Given AB Prove AC...

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54. Given: AB CD Prove: AC BD Proof: 55. m 6 180 35 or 145 56. m 7 180 157 or 23 57. m 8 180 90 or 90 58. Given: 1 and 2 form a linear pair. m 2 2( m 1) Prove: m 1 60 Proof: Chapter 2 Practice Test Page 121 1. Sample answer: Formal is the two-column proof, informal can be paragraph proofs. 2. Sample answer: You can use a counterexample. 3. Sample answer: statements and reasons to justify statements 4. true; Symmetric Prop. 5. false; y 2 6. false; a 4 7. 3 2 and 3 x 12 when x 4.; false, because p is false and q is true 8. 3 2 or 3 x 12 when x 4.; true, because p is false and q is true 9. 3 2, or 3 x 12 when x 4 and an equilateral triangle is also equiangular.; true, because q is true and r is true so q r is true and p is false 10. Hypothesis: you eat an apple a day; Conclusion: the doctor will stay away; If you eat an apple a day, then the doctor will stay away. Converse: If the doctor stays away, then you eat an apple a day. Inverse: If you do not eat an apple a day, then the doctor will not stay away.
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