Question

BRAINLIESTT ASAP! PLEASE HELP ME :) Solve for x given that CE=36. Show your work.

Answer 1

Answer: x = 7

Explanation:

Segment addition postulate

CD+DE = CE

this basically is the idea of gluing smaller pieces together to get a larger structure. We can go in reverse to break up a large item into smaller bits. This is assuming there is no leftovers, overlaps, or parts wasted/lost.

CD = 9

DE = 3x+6

CE = 36

----

CD+DE = CE

9+3x+6 = 36

3x+15 = 36

3x = 36-15

3x = 21

x = 21/3

x = 7

-----

If x = 7, then

DE = 3x+6 = 3*7+6 = 21+6 = 27

and

CD+DE = 9+27 = 36 = CE

confirming our answer