Question

Point O lies between points M and P on a line. OM=34z and OP=36z-7. If point N is the midpoint of line MP, what algebraic equation can you use to find MN?

Answer 1

The line is stretched from M to P

The point O is in between M and P, so the length OM add length OP will give the full length of MP

OM = $34z$
OP = $36z-7$

The length MP = OM + OP = $34z+36z-7=70z-7$

If N is the midpoint of MP, then the length MN is half of the length MP
MN = $\frac{70z-7}{2}$