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: 43

Answer

y = 32

Work Step by Step

The quadrilateral is a rectangle since it has a right angle. Since this rectangle has congruent adjacent sides, it is a square. The diagonals bisect the angles, which are right angles. 9x = 45 ; x = 5 ; 6z = 45 ; z = 45/6 = 7.5 diagonals are perpendicular: 3y - 6 = 90 3y = 90 + 6 y = 96/3 y = 32
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