Question

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

Answer 1

`SV=5\ units`

Explanation:

see the attached figure to better understand the problem

we know that

In a parallelogram opposites sides are parallel and congruent

so

In this problem

`SV=TU` ---> by opposite sides

substitute the given values

`x+3=4x-3`

solve for x

`4x-x=3+3\\3x=6\\x=2`

Find the length of SV

`SV=x+3`

substitute the value of x

`SV=2+3=5\ units`