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Pre-Calculus Homework Solutions 53

Pre-Calculus Homework Solutions 53 - 48 Skew lines the...

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48. Skew lines; the planes are flying in different directions and at different altitudes. 49. CG , DH , EI 50. DE , FG , HI , GH , BF , DH , EI 51. No; plane ADE will intersect all the planes if they are extended. 52. Sample answers: parallel bars in gymnastics, parallel port on a computer, parallel events, parallel voices in a choir, latitude parallels on a map 53. Infinite number; consider any line through P in any plane that does not contain . 54. 1 55. Sample answer: Parallel lines and planes are used in architecture to make structures that will be stable. Answers should include the following. Opposite walls should form parallel planes; the floor may be parallel to the ceiling. The plane that forms a stairway will not be parallel to some of the walls. 56. A 57. The elements of M are 15, 18, 21, 24, 27, and 30. The elements of P are 16, 20, 24, and 28. The numbers that are in P but not in M are 16, 20, and 28. Select any one of these three numbers. Page 131 Maintain Your Skills 58. Given: m ABC ¬ m DFE m 1 ¬ m 4 Prove: m 2 ¬ m 3 Proof: 59.
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