Answer
$AC=DF = 19$
Work Step by Step
If two triangles are congruent, the corresponding angles and sides are congruent as well. Thus, we find:
$7a+5=5a+9\\
2a=4\\
a=2$
Plugging this back into the original equation, we obtain:
$AC=DF=2(5)+9 = 19$
Geometry: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281159
ISBN 13:
978-0-13328-115-6
Chapter 4 - Congruent Triangles - 4-1 Congruent Figures - Practice and Problem-Solving Exercises - Page 223: 38
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