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

Answer:

option 3: x=5

Step-by-step explanation:

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Answer 2

Answer:

Option C.

Step-by-step 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.