Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.5 - Solving Equations Containing Rational Expressions - Exercise Set: 64

Answer

x = 12$^{\circ}$, Thus, $\frac{25x}{2}$ = 150$^{\circ}$ $\frac{5x}{2}$ = 30$^{\circ}$

Work Step by Step

Given that $\frac{25x}{2}$ and $\frac{5x}{2}$ are supplementary. Thus, $\frac{25x}{2}$ + $\frac{5x}{2}$ = 180$^{\circ}$ Since denominators are same (2), we can directly add the numerators ( 25x and 5x) Thus $\frac{25x}{2}$ + $\frac{5x}{2}$ = $\frac{30x}{2}$ = 15x Given 15x = 180$^{\circ}$ Thus x = $\frac{180}{15}$$^{\circ}$ = 12$^{\circ}$ Thus, $\frac{25x}{2}$ = $\frac{25(12)}{2}$ = $\frac{300}{2}$ = 150$^{\circ}$ $\frac{5x}{2}$ = $\frac{5(12)}{2}$ = $\frac{60}{2}$ = 30$^{\circ}$
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