Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Entry-Level Assessment - Multiple Choice - Page xl: 22


H; $15$

Work Step by Step

Since triangles $ABC$ and $DEF$ are similar, the lengths of their sides are proportional. We can find the proportion by dividing two similar side lengths: $24\div32=0.75$ Since the proportion of one side length is $0.75$, and the triangles are similar, the proportion of the other side lengths will also be $0.75$. We can find the side length of side $DF$ by multiplying the known side length, $AC$, by $0.75$ $20\times0.75=15$ The side length of $DF$ is $15$.
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