Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 5 - Section 5.2 - Similar Polygons - Exercises - Page 223: 9

Answer

a.) $\angle$N=82$^{\circ}$ b.) $\angle$P=42$^{\circ}$ c.) NP=10.5 d.) QS=8

Work Step by Step

$\angle$N=$\angle$R=82 $\angle$P=180-$\angle$R-$\angle$M $\angle$P=180-82-56 $\angle$P=42 $\frac{QR}{MN}$=$\frac{6}{9}$=$\frac{2}{3}$ NP=$\frac{3}{2}$RS NP=$\frac{3}{2}$(7) NP=10.5 QS=$\frac{2}{3}$MP QS=$\frac{2}{3}$12 QS=8
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