Question

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? 2 4 5 10

Answer 1

option 3: x=5

Explanation:

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Answer 2

Option C.

Explanation:

Given information: RSTU is a parallelogram, Digonals RT and SU intersect each other at point V, UV=(x-3) and VS=(3x-13).

According to the properties of a parallelogram, the diagonals of a parallelogram bisect each other.

Using the properties of parallelogram we can say that point V divides the diagonal SU in two equal parts, UV and VS.

`VS=UV`

`3x-13=x-3`

Subtract x from both sides.

`2x-13=-3`

Add 13 on both sides.

`2x=10`

Divide both sides by 2.

`x=5`

Therefore, the correct option is C.