Answer
x=5$\frac{1}{3}$
DE=5$\frac{1}{3}$
EF=6$\frac{2}{3}$
Work Step by Step
$\frac{AB}{DE}$=$\frac{BC}{EF}$
$\frac{4}{x}$=$\frac{5}{12-x}$
48-4x=5x
9x=48
x=5$\frac{1}{3}$
DE=x=5$\frac{1}{3}$
EF=12-5$\frac{1}{3}$
EF=6$\frac{2}{3}$
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
1439047901
ISBN 13:
978-1-43904-790-3
Chapter 5 - Section 5.6 - Segments Divided Proportionally - Exercises - Page 266: 7
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