Answer
x=5
AD=4
Work Step by Step
$\frac{AD}{AE}$=$\frac{DB}{EC}$
$\frac{a-1}{a}$=$\frac{2a+2}{4a-5}$
4a$^2$-5a-4a+5=2a$^2$+2a
2a$^2$-11a+5=0
(2x-1)(x-5)=0
x=5 because x$\gt$1 (see AD)
AD=x-1=4
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: 11
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