Question

M is the midpoint of JK¯¯¯¯, JM = 7x − 32 and MK = 89 − 4x.  If M is the midpoint of JK¯¯¯¯, what is the distance of MK?

A 45

B 11

C 13

D90

Answer 1

Being the midpoint, both JM and MK would be the same.

Set the two equations to equal each other and dolve for x:

7x-32 = 89-4x

Add 32 to both sides:

7x = 121-4x

Add 4x to both sides:

11x = 121

Divide both sides by 11:

x = 121 /11

x = 11

Now you have a value for x, solve for MK:

MK = 89-4(11) = 89-44 = 45

The answer is A. 45

Answer 2

Answer:

A. 45

Hope this helps my brother and others

-Amelia