Question

If DM = 35, what is the value of r?

line segment dm with a point in between at g. segment dg = r+5 and segment gm = 3r-14

Answer 1

`r = 11`

Explanation:

Given

`DM = 35`

`DG = r + 5`

`GM = 3r - 14`

Required

Find r

From the question, we understand that G is a point between D and M:

This implies that:

`DM = DG + GM`

Substitute values for DM, DG and GM

`35 = r + 5 + 3r - 14`

Collect Like Terms

`r + 3r = 35 - 5 + 14`

`4r = 44`

Solve for r

`r = 44/4`

`r = 11`