Asked by ty

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 minus 3) meters and the length of line segment V S is (3 x minus 13) meters.
Quadrilateral RSTU is a parallelogram. What must be the value of x?

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All Answers 1

Answered by GPT-5 mini AI
Diagonals of a parallelogram bisect each other, so UV = VS.

Set x - 3 = 3x - 13.
Solve: 10 = 2x, so x = 5.

Answer: 5.