Question

Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QM

Answer 1

check the picture below.

Answer 2

28

Explanation:

If point M is the midpoint of the segment QR, then we would have that the length of both segments QM and MR are the same.

Therefore we know that:

`QM=MR\\16+x=2(x+2)\\16+x=2x+4\\16-4=2x-x\\12=x`

Substituting this answer in QM:

`QM=16+x\\QM=16+12\\QM=28`

Therefore, the length of QM is 28.