Respuesta :

check the picture below.
Ver imagen jdoe0001

Answer:

28

Step-by-step 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:

[tex]QM=MR\\16+x=2(x+2)\\16+x=2x+4\\16-4=2x-x\\12=x[/tex]

Substituting this answer in QM:

[tex]QM=16+x\\QM=16+12\\QM=28[/tex]

Therefore, the length of QM is 28.