Question

In the figure below, O is between Mand P, and N is the midpoint of MO. If MP = 14 and NO= 6, find OP.OP = 0х5?Continue© 2020 McGraw-Hill EducationIHType here to searchOSiM

Answer 1

By identifying the midpoint and using the given lengths, we can calculate that OP is 2 units long by subtracting the length of MO from MP.

To find OP in the given figure where O is between M and P, and N is the midpoint of MO, we can use the information that NO equals 7 units and MP equals 16 units.

Since N is the midpoint of MO, ON is half the length of MO, which means MO is twice the length of NO, which gives us MO = 2 × 7 = 14 units.

To find OP, we need to subtract the length of MO from the total length MP.

So the calculation will be OP = MP - MO = 16 - 14 = 2 units.

The probable question may be:

In the figure below, O is between M and P, and N is the midpoint of MO. If NO=7 and MP=16, find OP.

Answer 2

We have to calculate OP.

As N is the midpoint between M and O, and we know that NO = 6, we then can conclude that MN is also 6.

If we add MN and NO, we get the value of MO, that is 6+6=12.

If we substract MO from MP, we should get OP:

MP - MO = OP

14 - 12 = 2

Then, we have that OP = 2.