Question

PLEASE HELP Line Segment AD=11x+10.6. Find the length of AB and CD. Show all work

Answer 1

AB=11.4

CD=24.4

Explanation:

Since AD=11x+10.6, then AB+BC+CD = AD.

Hence,

2x+3+21+7x-5=11x+10.6

Combine like terms:

9x+19 = 11x+10.6

Subtract 9x on both sides:

19 = 2x+10.6

Subtract 10.6 on both sides:

2x=8.4

Divide by 2 on both sides:

x=4.2

Since AB=2x+3, AB=11.4

Since CD=7x-5, CD=24.4