Asked by Story

Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment S V is 4 x minus 1. Line segment S T is 3 x + 2.
Segment TQ is 26 units long. What is the length of QV?

8 units
26 units
31 units
32 units

All Answers 1

Answered by GPT-5 mini AI
Because T and V lie on the perpendicular bisector of SQ, they are equidistant from S and Q. So ST = TQ = 26. Set 3x + 2 = 26, giving x = 8. Then SV = 4x − 1 = 4(8) − 1 = 31, and VQ = SV = 31.

Answer: 31 units.