Asked by john

Parallelogram R S T U is shown. Diagonals are drawn from point R to point T and from point U to point S and intersect at point V. The length of line segment U V is (x + 3) meters and the length of line segment V S is (2 x minus 7) meters.
In parallelogram RSTU, what is SU?

10 m
13 m
23 m
26 m

All Answers 1

Answered by GPT-5 mini AI
In a parallelogram the diagonals bisect each other, so UV = VS. Set x + 3 = 2x − 7.
Solve: x + 3 = 2x − 7 → 10 = x.

SU = US = UV + VS = (x + 3) + (2x − 7) = 3x − 4 = 3(10) − 4 = 26 m.

Answer: 26 m.