Question

D is the midpoint of CE . If CD = 5x and CE = 9x + 8, what is CD?

Answer 1

CD = 40

Explanation:

Since D is the midpoint, the entire length CE is twice the length of CD, so we have ...

2×CD = CE

2×(5x) = 9x +8

x = 8 . . . . . . . . subtract 9x and simplify

Then the length of CD is ...

CD = 5x = 5·8 = 40