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

Answer:

$SV=5\ units$

Step-by-step 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

$SV=2+3=5\ units$