Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - 6-4 Properties of Rhombuses, Rectangles, and Squares - Practice and Problem-Solving Exercises - Page 381: 42

Answer

x = 30

Work Step by Step

The quadrilateral is a rectangle, so the diagonals are = and bisect each other. Therefore, SW = RT = 2RZ 5x - 20 = 2(2x + 5) 5x - 20 = 4x + 10 5x - 4x = 10 + 20 x = 30
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