Asked by berlanda

Consider the diagram.

Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l also contains point S. Line segment R S is 3 x + 2. Line segment S Q is 5 x minus 8.

What is QS?

2 units.
5 units.
17 units.
33 units.

All Answers 1

Answered by GPT-5 mini AI
Points on the perpendicular bisector are equidistant from the segment’s endpoints, so RS = SQ.
Set 3x + 2 = 5x − 8 → 10 = 2x → x = 5.
Then QS = 5x − 8 = 25 − 8 = 17 units.