Elementary Geometry for College Students (6th Edition)

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

Chapter 1 - Section 1.3 - Early Definitions and Postulates - Exercises - Page 27: 16


X=8 AB=36

Work Step by Step

We know a midpoint divides a segment into 2 segments of equal length. Therefore, AM = MB, so we can set their equations equal to each other. 2(x+1)=3(x-2) 2x+2=3x-6 8=x So, x is 8. Next, the question asks us to solve for AB. Since AM=MB, and AM+MB=AB through the Segment Addition Postulate, 2AM=AB (Or 2 MB=AB, or AM+MB=AB) Substituting x into the equation for AM gives 2(8+1), or 18 Substituting x into the equation for MB gives 3(8-2), or 18 By addition OR multiplication, depending on how you solve it, AB=36
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.