Question

If M is the midpoint of

JK and N is the midpoint
of JL, find the value of x.



have zero idea of what i’m doing , please help .!!

Answer 1

10

Explanation:

1. 2x + 7 = ½(7x - 16)
2. 2(2x + 7) = 7x - 16
3. 4x + 14 = 7x - 16
4. 4x - 7x = -14 - 16
5. -3x = -30

x = 10

Answer 2

A. 10

Explanation:

Based on the midsegment theorem, thus:

2x + 7 = ½(7x - 16)

Multiply both sides by 2

2(2x + 7) = 7x - 16

4x + 14 = 7x - 16

Combine like terms

4x - 7x = -14 - 16

-3x = -30

Divide both sides by -3

x = 10