Point m is the midpoint of segment qr. if qm = 16 + x and mr = 2(x + 2), find the length of qr. qr = 12 qr = -12 qr = 28 qr = 56

The midpoint divided a segment into two congruent lengths/segments.

So, QM = MR.

Set up the equation.

16 + x = 2(x+ 2)

16 + x = 2x + 4

12 + x = 2x

12 = x

Now, that you have the value of x, substitute it for the two equations.

QM = 16 + x

QM = 16 + 12

QM = 28

MR = 2(12+ 2)

MR = 2(14)

MR = 28

Find the whole length by of the line by adding the two segments. 28 × 2 = 56.

QR = 56