Point m is the midpoint of segment qr. if qm = 16 + x and mr = 2(x + 2), find the length of qm.

Since M is the midpoint then QM and MR are equal to each other. So by setting them equal to each other we can find the value of x first.

16 + x = 2(x + 2)
16 + x = 2x + 4
16 = x + 4
12 = x

Now we can substitute in the value of x to find the length if QM.

16 + x
16 + 12
28

Hope this helps :)