Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 6 - Polygons and Quadrilaterals - 6-6 Trapezoids and Kites - Practice and Problem-Solving Exercises - Page 394: 14

Answer

EF = 11

Work Step by Step

Trapezoid Midsegment Theorem: EF = 1/2 (AD + BC) 3x + 5 = 1/2(4 + (7x+4)) 3x + 5 = 4 + 7/2x (3 - 7/2)x = 4 - 5 x = -1 * (-2) x= 2 EF = 3(2) + 5 = 6 + 5 = 11
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