Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 4 - Section 4.1 - Properties of a Parallelogram - Exercises: 5

Answer

AB = 8 BC = 9 CD = 8 DA = 9

Work Step by Step

In a parallelogram, the sides opposite from each other are of equal length. This means that AB = CD and BC = DA. AB is given as 3x + 2, BC is given as 4x + 1, and CD = 5x - 2, therefore: AB = CD 3x + 2 = 5x - 2 3x + 2 - 3x = 5x - 2 - 3x 2 = 2x - 2 2 + 2 = 2x - 2 + 2 4 = 2x 4/2 = 2x/2 2 = x If x = 2, then AB = 3(2) + 2, which is 8, and BC = 4(2) + 1, which is 9. AB = CD, therefore CD is also 8, and BC = DA, therefore DA is also 9
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.