Question

Need help ASAP!
Should be simple geometry but I’m brainless

Answer 1

x = 6 and KL = 32

First off, you're not brainless, your brain needs practice that's all.

Since L is the midpoint of the line KM, that means KL = LM

KL
`= 5x + 2`

LM
`= 9x - 22`

KL = LM

`5x+2=9x-22\\5x=9x-24\\-4x=-24\\x=(-24)/(-4) \\x=6`

KL
`= 5x + 2`, substitute
`x`:

KL
`=5(6)+2`

KL
`= 30 + 2`

KL
`= 32`

let's also find LM just for fun

LM
`= 9x-22`, substitute
`x` again:

LM
`= 9(6) -22`

LM
`=54-22`

LM
`=32`

this proves that KL = LM