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?

Answer 1

C: 14

Explanation:

Answer 2

TQ=14

Explanation:

Given:

QV=15

Since the figure is a kite because SR=QR and TV is perpendicular to SQ:

SV=QV and ST=TQ

so:

4x-1=15

x=4

ST=3x+2=14

TQ=14