Geometry: Common Core (15th Edition)

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

Chapter 6 - Polygons and Quadrilaterals - Chapter Review - Page 423: 32


$x = 4$

Work Step by Step

In a rectangle, diagonals are congruent and bisect one another; therefore, we can set the two bisected segments equal to one another: $2x - 1 = x + 3$ Add $1$ to each side of the equation to move constants to the right side of the equation: $2x = x + 4$ Subtract $x$ from each side of the equation to move variables to the left side of the equation: $x = 4$
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