25. Given:ABDECis the midpoint of BD.Prove:ACCEProof:26. Given:ABEFandBCDEProve:ACDFProof:27.Sample answers:LNQOand LMMNRSSTQPPO28.Sample answer: You can use segment addition tofind the total distance between two destinationsby adding the distances of various points inbetween. Answers should include the following.• A passenger can add the distance from SanDiego to Phoenix and the distance from Phoenixto Dallas to find the distance from San Diego toDallas.• The Segment Addition Postulate can be useful ifyou are traveling in a straight line.29.B;AD¬ABBCCD¬141412341214¬3914AQ¬12AD¬123914¬1958BP¬12BC¬121234¬638AP¬ABBP¬1414638¬2058AP¬AQQP2058¬1958QP1¬QP30.Let xbe the price of a box of popcorn. Then a tubof popcorn costs 2x.60(2x)¬150120x¬150x¬1.25Thus, a box of popcorn costs $1.25 and a tub costs2(1.25) or $2.50.
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