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

$5x+2=9x-22\\5x=9x-24\\-4x=-24\\x=\frac{-24}{-4} \\x=6$

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