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umka21 [38]
3 years ago
10

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

Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0

Answer:

r = 11

Step-by-step 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

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<em>Additional comment</em>

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