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Pre-Calculus Homework Solutions 172

# Pre-Calculus Homework Solutions 172 - 47 a 2 b ab a 43 The...

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43. The total length of the lots along Lake Creek Drive is 20 1 22 1 25 1 18 1 28 or 113 meters. The lines dividing the lots are perpendicular to Lake Creek Drive, so they are all parallel. Write proportions to solve for each variable. 5 } 1 1 3 1 5 3 .6 } 5 ¬ } 2 u 0 } 135.6(20) 5 ¬ 113 u 2712 5 ¬ 113 u 24 5 ¬ u } 1 1 3 1 5 3 .6 } 5 ¬ } 2 w 2 } 135.6(22) 5 ¬ 113 w 2983.2 5 ¬ 113 w 26.4 5 ¬ w } 1 1 3 1 5 3 .6 } 5 ¬ } 2 x 5 } 135.6(25) 5 ¬ 113 x 3390 5 ¬ 113 x 30 5 ¬ x } 1 1 3 1 5 3 .6 } 5 ¬ } 1 y 8 } 135.6(18) 5 ¬ 113 y 2440.8 5 ¬ 113 y 21.6 5 ¬ y } 1 1 3 1 5 3 .6 } 5 ¬ } 2 z 8 } 135.6(28) 5 ¬ 113 z 3796.8 5 ¬ 113 z 33.6 5 ¬ z 44. Use the Triangle Proportionality Theorem in n DCA . B w G w ± A w D w , so } B AB C } 5 } D G G C } .Also, in n DCF , } D G G C } 5 } D EF E } . Using the Transitive Property of Equality, } B AB C } 5 } D EF E } . 45. Sample answer: City planners use maps in their work. Answers should include the following. • City planners need to know geometry facts
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