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Find AB.

 

 Sep 23, 2020
 #1
avatar+986 
+1

CE = AC = 10x+18.

 

DE = 7x - 1

 

CD = 10x + 18 - (7x -1) = 3x +19

 

We don't actually need that, though.

 

Or we do:

 

3x + 19 = 7x - 1 since D is the midpoint of CE, so CD = DE

 

20 = 4x

 

x = 5

 

Now

 

BC = 9x-2

 

10x+18 - (9x-2) = x + 20

 

AB = x+20

 

x = 5

AB = 25

 

BC = 43

 

CD = 34

 

DE = 34

 

25 + 43 = 34+34 = 68 = 68!

 Sep 23, 2020

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