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Midpoint solve with step by step

Midpoint solve with step by step-example-1

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Answer:

Explanation:

If D is the midpoint of CE, that means that D is exactly in the middle of CE, splitting it in 2 equal length segments. That means that CD = DE in length. If CD = 9x - 7 and DE = 3x + 17, then

9x - 7 = 3x + 17 and

6x = 24 so

x = 4

Now we'll sub 4 in for x in either expression for half the length. If DE = 3x + 17, then when we sub in 4 for x: 3(4) + 17 = 29. That means that half the length of CE is 29. Double that and you'll get that the length of CE = 58

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