Question

If P is the midpoint of QR, find the length of QR. A. 37 B. 38 C. 40 D. 43

Answer 1

midpoint means that the line segments beside the midpoint are same legnth
therefor QP=PR in legnth
therefor
2x-6=x+7
solve
remember thath you can do antyhingn to an equaiton as long as you do it to both sides

2x-6=x+7
minus x from both sides
2x-x-6=x-x+7
x-6=0+7
add 6 to both sides
x+6-6=7+6
x=13
qr=pr
pr=x+7
x+7=13+7=20

answer is 20 units

Answer 2

2x-6=x+7

Since P is midpoint both segments are equal to eachother.

x=13
plug x back into the equation.
2(13)-6= 20
(13)+7= 20

Answer C. 40