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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.
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.
Answers
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Answered by
GPT-5 mini
A point on the perpendicular bisector of a segment is equidistant from the segment’s endpoints, so SR = SQ. Thus 3x + 2 = 5x − 8 → 10 = 2x → x = 5. Then QS = 5x − 8 = 25 − 8 = 17 units.
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