Answer
(a) $AC = 12.3~cm$
(b) $x = 12.5$
Work Step by Step
(a) By symmetry, $AC = BD$. Therefore $AC = 12.3~cm$
(b) We can find the value of $x$:
$AC = BD$
$3(x+7) = 9(x-6)$
$3x+21 = 9x-54$
$6x = 75$
$x = \frac{75}{6}$
$x = 12.5$
Elementary Geometry for College Students (7th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Cengage
ISBN 10:
978-1-337-61408-5
ISBN 13:
978-1-33761-408-5
Chapter 4 - Section 4.4 - The Trapezoid - Exercises - Page 200: 5
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