Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set: 14

Answer

Answer: x = 6

Work Step by Step

In two similar triangles, the corresponding sides are in proportion. Given triangle GHI is similar to triangle JKL. Then, $\frac{GH}{JK}$ = $\frac{GI}{JL}$ = $\frac{HI}{KL}$ Substituting the values from the given figure, $\frac{12}{4}$ = $\frac{20}{\frac{20}{3}}$ = $\frac{18}{x}$ $\frac{12}{4}$ = 3 $\frac{20}{\frac{20}{3}}$ = $\frac{20(20)}{3}$ = 3 Thus 3 = 3 = $\frac{18}{x}$ Thus c = 3 Thus x = = $\frac{18}{3}$ = 6
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.