SOLUTION: If AC=62, find the value of x. Then find AB and BC. Picture: shows a line with 3 points on it. A, B, and C. Points AB=3x-4 and points BC=3x-4. When finding x, I got 10.3 since

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Question 52281: If AC=62, find the value of x. Then find AB and BC.
Picture: shows a line with 3 points on it. A, B, and C. Points AB=3x-4 and points BC=3x-4.
When finding x, I got 10.3 since AB and BC both are 3x-4..does that make them congruent...so AB and BC would both equal 26.9? [ 3(10.3)-4 = 26.9 ]

Thank you.

Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
If AC=62, find the value of x. Then find AB and BC.
Picture: shows a line with 3 points on it. A, B, and C. Points AB=3x-4 and points BC=3x-4.
AC=AB+BC
62=3X-4+3X-4=6X-8
6X=70
X=70/6 = 35/3=11.6666
When finding x, I got 10.3 since AB and BC both are 3x-4..does that make them congruent...so AB and BC would both equal 26.9?
NO CONGRUENT OK..SO EACH IS 62/2=31
SO 3X-4=31
3X=35
X=35/3=11.6666
[ 3(10.3)-4 = 26.9 ]

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