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Pre-Calculus Homework Solutions 43

Pre-Calculus Homework Solutions 43 - AQ 25 Given AB DE C is...

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25. Given: AB DE C is the midpoint of BD . Prove: AC CE Proof: 26. Given: AB EF and BC DE Prove: AC DF Proof: 27. Sample answers: LN QO and LM MN RS ST QP PO 28. Sample answer: You can use segment addition to find the total distance between two destinations by adding the distances of various points in between. Answers should include the following. • A passenger can add the distance from San Diego to Phoenix and the distance from Phoenix to Dallas to find the distance from San Diego to Dallas. • The Segment Addition Postulate can be useful if you are traveling in a straight line. 29. B; AD ¬ AB BC CD ¬ 14 1 4 12 3 4 12 1 4 ¬ 39 1 4 AQ ¬ 1 2 AD ¬ 1 2 39 1 4 ¬ 19 5 8 BP ¬ 1 2 BC ¬ 1 2 12 3 4 ¬ 6 3 8 AP ¬ AB BP ¬ 14 1 4 6 3 8 ¬ 20 5 8 AP ¬ AQ QP 20 5 8 ¬ 19 5 8 QP 1 ¬ QP 30. Let x be the price of a box of popcorn. Then a tub of popcorn costs 2 x . 60(2 x ) ¬ 150 120 x ¬ 150 x ¬ 1.25 Thus, a box of popcorn costs \$1.25 and a tub costs 2(1.25) or \$2.50.
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