in the diagram below of triangle JKL,M is a midpoint of JK and N is a midpoint of KL.If MN=22-3x, and JL=3x+8, what is the measure of MN?

By theorem the following is true:
[tex]2(22-3x)=3x+8[/tex]So, we solve for x:
[tex]\Rightarrow44-6x=3x+8[/tex][tex]\Rightarrow9x=36\Rightarrow x=4[/tex]Now, we replace in the function that describes MN:
[tex]MN=22-3x\Rightarrow MN=22-3(4)[/tex][tex]\Rightarrow MN=10[/tex]