Question

In parallelogram RSTU, what is SU?
10 m
13 m
23 m
26 m

HELP QUICKLY PLEASE!!!!!

Answer 1

pretty sure diagonals bisect each other meaning they intersect each other is half so...that would make UV and SV congruent so.....x+3=2x-7
x to the other side to get 3 = x -7
-7 to other side to get 10 =x
now plug em in to one of the equations and multiply by 2
x+3
10 + 3
13
13 * 2
26 is your answer

Answer 2

The length of SU in the given parallelogram is; 26 m

Parallelograms Congruency

This is a parallelogram labelled RSTU.

Now, for a parallelogram, opposite sides are congruent to each other.

Also, the intersection of the diagonals divides the diagonals into two equal parts.

This means that;

UV = SV

We are given;

UV = x + 3

SV = 2x - 7

Thus;

x + 3 = 2x - 7

Rearranging gives us;

2x - x = 7 + 3

x = 10

Thus;

UV = 10 + 3 = 13

SV = 2(10) - 7 = 13

Thus; SU = 13 + 13 = 26

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