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Pre-Calculus Homework Solutions 40

# Pre-Calculus Homework Solutions 40 - 37 B m P m Q m m Q m Q...

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37. B; m P m Q m R ¬ 180 m Q m Q 2( m Q ) ¬ 180 4( m Q ) ¬ 180 m Q ¬ 45 m P ¬ m Q ¬ 45 38. B; 4 x y 5 x ¬ y 9 Page 100 Maintain Your Skills 39. Let the four buildings be named A , B , C , and D . In order to have exactly one sidewalk between each building, there should be 6 sidewalks. If AB is the sidewalk between buildings A and B , then the 6 sidewalks are AB , AC , AD , BC , BD , and CD . 40. Valid; since 24 is divisible by 6, the Law of Detachment says it is divisible by 3. 41. Invalid; 27 6 4.5, which is not an integer. 42. Valid; since 85 is not divisible by 3, the contrapositive of the statement and the Law of Detachment say that 85 is not divisible by 6. 43. Sample answer: If people are happy, then they rarely correct their faults. 44. Sample answer: If you don’t know where you are going, then you will probably end up somewhere else. 45. Sample answer: If a person is a champion, then the person is afraid of losing. 46. Sample answer: If we would have new knowledge, then we must get a whole new world of questions.
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