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tensa zangetsu [6.8K]
2 years ago
13

If D is the midpoint of CE, CD= 9x-7, and DE= 3x+17, find CE

Mathematics
1 answer:
tatuchka [14]2 years ago
3 0
Hello!

Since D is the midpoint and the two equations are and both sides of point D the equations equal each other

9x - 7 = 3x + 17

Now you solve it algebraically

Add 7 to both sides

9x = 3x + 24

Subtract 3x from both sides

6x = 24

Divide both sides by 6

x = 4

Now we put this into both equations and add them

9(4) - 7 = 29
3(4) + 17 = 29

29 + 29 = 58

The answer is 58 units

Hope this helps!
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