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

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

using pemdas, (order of operations) you'll see the answer is 24.