Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 5 - Section 5.6 - Segments Divided Proportionally - Exercises - Page 268: 39b

Answer

CE = 20/11 EA = 24/11

Work Step by Step

We first create a proportion, and then we substitute: $\frac{EA}{AB} = \frac{CE}{BC} \\ \frac{4-CE}{6} = \frac{CE}{5} \\CE = 20/11$ Since EA equals $4 - CE$, it follows: $EA = \frac{44}{11} - \frac{20}{11} = 24/11$
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