Answer: y = 24
CD = 32, CE = 72
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Work Shown:
CD+DE = CE .... segment addition postulate
(CD) + (DE) = CE
(y+8) + (40) = 3y .... substitution
y+8+40 = 3y
y+48 = 3y
48 = 3y-y .... subtract y from both sides
48 = 2y
2y = 48
y = 48/2 .... divide both sides by 2
y = 24
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Extra info:
This y value leads to
CD = y+8 = 24+8 = 32
CE = 3y = 3*24 = 72
So,
CD+DE = 32+40 = 72
which is equal to CE = 72, confirming the answer.
