1.

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

Answer»

Answer:

QM = 28 UNITS

Step-by-step explanation:

Since M is the mid point of line segment QR then it MEAN that

Distance between M and Q is equal to distance between M and R that is

QM = MR   ......(1)

And we are given that

QM = 16 + x

MR = 2(x + 2) = 2x + 4

Putting the values in equation (1) we get

      16 + x = 2x + 4

⇒    2x - x = 16 - 4

⇒           x = 12

So

QM = 16 + x = 16 + 12 = 28

Thus

QM = 28 units


Discussion

No Comment Found

Related InterviewSolutions