Question

Please help me!
Find AC

Answer 1

We are asked to find the length of
`AC`, which measures
`7x`. Using the segment addition postulate, we can add the two given expressions for
`AB` and
`BC` and make it equal to the expression for
`AC`.

`AB + BC=AC`

`5x+1+15=7x`

`5x+16=7x`

`16=2x`

`x=8`
We've found the value of
`x`, but we aren't done yet. We need to plug in the value we got for
`x` into the expression for
`AC`, which is
`7x`. Therefore,
`AC \Rightarrow7x\Rightarrow7(8)\Rightarrow\boxed{56}`. Hope this helped and have a great day!