8) in the diagram below the distance of AC is X+32. Find the value of AB.
![8 in the diagram below the distance of AC is X32 Find the value of AB class=](https://us-static.z-dn.net/files/d1e/3931b8b197306eb4452a0ca54654c409.png)
Answer:
AB = 27
Step-by-step explanation:
A, B and C lie on a straight line, then
AB + BC = AC , substitute values
13 + 2x + 12 = x + 32
2x + 25 = x + 32 ( subtract x from both sides )
x + 25 = 32 ( subtract 25 from both sides )
x = 7
Thus
AB = 13 + 2x = 13 + 2(7) = 13 + 14 = 27