Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 4 - Section 4.2 - The Parallelogram and Kite - Exercises - Page 197: 31

Answer

x=5 RM=11 ST=22

Work Step by Step

Since RM and RN are congruent with a 60 degree angle between them, SAS proves that it is an equilateral triangle. Therefore RM and RN are also congruent to MN. RM=RN=MN=2x+1 ST=2(MN) 5x-3=4x+2 x=5 RM=2x+1 RM=2(5)+1 RM=11 ST=5x-3 ST=5(5)-3 ST=22
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