Suppose M is the midpoint of segment CD, CM = 5x-12 and MD = 2x + 9. What is x?

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Deep Kakkar asked Jan 26, 2023

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Suppose M is the midpoint of segment CD, CM = 5x-12 and MD = 2x + 9. What is x?

Mathematics
high-school

Deep Kakkar asked Jan 26, 2023

by Deep Kakkar

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19 votes

Answer:

x=7

Step-by-step explanation:

If M is the midpoint of segment CD, it means M divides CD into two equal parts (CM and MD). Therefore:

CM=MD

5x-12=2x+9

5x-2x=9+12

3x=21

x=21/3

x=7

The value of x is 7.

HamsterWithPitchfork answered Jan 30, 2023

by HamsterWithPitchfork

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