Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-3 Measuring Segments - Practice and Problem-Solving Exercises - Page 25: 43


a) 5x b) GH=9 and JK=15

Work Step by Step

We can find GK by adding GH and HK because of the Segment Addition Postulate. To find GH, we can do GJ-HJ to get x+3. HK is 4x-3. GH+HK=5x. $GK=5x$ If GK=30 and GK=5x, then $5x=30$ by substitution, and x=6. We established that GH=x+3. Substituting 6 into the equation gives GH=9. To find JK, we can do HK-HJ to get 3x-3. JK is 3x-3. Substituting 6 into the equation gives JK=15.
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.