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Klio2033 [76]
3 years ago
13

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
Mathematics
2 answers:
givi [52]3 years ago
5 0

Answer:

option 3: x=5

Step-by-step explanation:

just took quiz

stiv31 [10]3 years ago
3 0

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.

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