Question

If AB≈ BC and AB = 50-2x and BC = 8x+5, find the length of AB

Answer 1

If AB = BC, then we can express the following

`50-2x=8x+5`

Then, we solve for x

`\begin{gathered} 50-5=8x+2x \\ 45=10x \\ x=(45)/(10) \\ x=4.5 \end{gathered}`

Hence, x is equal to 4.5.

Now, we find AB length

`AB=50-2x=50-2\cdot4.5=50-9=41`

Hence, the length of AB is 41 units.