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Quadrilateral RSTU is a parallelogram. What must be the value of x? 2 4 5 10

Quadrilateral RSTU is a parallelogram. What must be the value of x? 2 4 5 10-example-1
User Bondax
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x = 5
Hope this helps!
User IOIIOOIO
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As given in the problem that given quadrilateral RSTU is a parallelogram .

And it is a property of a parallelogram , that the diagonals bisects each other .

It means point V is the mid-point of US .

And it implies UV=VS

So we get,

x-3 = 3x-13

Now we have to solve for x

subtract 3x from both sides

x-3x -3 =3x-3x -13

-2x -3 = -13

add 3 to both sides

-2x -3+3 = -13 +3

-2x = -10

Divide both sides by -2

x=5

User Stefano Mozart
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