Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 7 - Similarity - 7-3 Providing Triangles Similar - Practice and Problem-Solving Exercises - Page 458: 49

Answer

The extremes are $x$ and $24$. The means are $8$ and $18$. $x = 6$

Work Step by Step

A proportion takes the following form: $\frac{a}{b} = \frac{c}{d}$, where $a$ and $d$ are the extremes and $b$ and $c$ are the means. In this exercise, $a = x$, $b = 8$, $c = 18$, and $d = 24$. The extremes are $x$ and $24$. The means are $8$ and $18$. Let's solve for $x$: $\frac{x}{8} = \frac{18}{24}$ Use the cross products property to get rid of the fractions: $24x = 144$ Divide each side by $24$ to solve for $x$: $x = 6$
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