Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-1 Adding and Subtracting Polynomials - Practice and Problem-Solving Exercises - Page 490: 41

Answer

The missing length is $9x-1$.

Work Step by Step

The sum of the two given side lengths is $ 2x+5+5x-1=\quad $.....gather like terms. $=2x+5x+5-1$ $=7x+4$ To find the third side, we subtract the sum of the given two sides from the perimeter. $(16x+3)-(7x+4)=\qquad.$...remove parentheses. $=16x+3-7x-4=\qquad$ .....gather like terms. $=16x-7x+3-4$ $=9x-1$
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