Answer:
[tex]r = 11[/tex]
Step-by-step explanation:
Given
[tex]DM = 35[/tex]
[tex]DG = r + 5[/tex]
[tex]GM = 3r - 14[/tex]
Required
Find r
From the question, we understand that G is a point between D and M:
This implies that:
[tex]DM = DG + GM[/tex]
Substitute values for DM, DG and GM
[tex]35 = r + 5 + 3r - 14[/tex]
Collect Like Terms
[tex]r + 3r = 35 - 5 + 14[/tex]
[tex]4r = 44[/tex]
Solve for r
[tex]r = 44/4[/tex]
[tex]r = 11[/tex]
