Question

In the diagram, the length of segment QV is 15 units.

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 T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?

4 units
11 units
14 units
15 units

Answer 1

The answer is 14 units

Explanation:

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Answer 2

Explanation:

Since V lies on m, VS≅VQ

So, 4x-1 = 15

x = 4

Thus, TS = 3x+2 = 14

TQ≅TS = 14