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In the diagram below of parallelogram STUV, SV = x + 3,
VU = 2x − 1, and TU = 4x − 3. what is the length of VU?

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Answer:

The value of VU = 3

Step-by-step explanation:

Given

SV = x + 3

VU = 2x − 1

TU = 4x − 3

VU = ?

We know that in a parallelogram, opposite sides are congruent.

SV ≅ TU and VU ≅ ST

Thus,

SV ≅ TU

x+3 = 4x-3

4x-x = 3+3

3x = 6

Divide both sides by 3

x = 2

So,

VU = 2x − 1

      = 2(2)-`1

      = 4-1

      = 3

Thus, the value of VU = 3

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