Question

If m is the midpoint of CD, CM= 4x-5, and md=2x +5, find CM

Answer 1

CM = 15

Explanation:

since M is the midpoint of CD , then

CM = MD , that is

4x - 5 = 2x + 5 ( subtract 2x from both sides )

2x - 5 = 5 ( add 5 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Then

CM = 4x - 5 = 4(5) - 5 = 20 - 5 = 15