In parallelogram RSTU, what is SU?

x + 3 = 2x - 7
-x = -10
x = 10
UV = 10 + 3 = 13
SU = 2 (UV) = 2(13) = 26
Answer
SU = 26 m
The diagonals of a parallelogram intersect and intersection point separating each one in half.
[tex]|UV|=|VS|[/tex] and [tex]|TV|=|VR|[/tex]
Therefore we have the equation:
[tex]2x-7=x+3\ \ \ \ |+7\\\\2x=x+10\ \ \ |-x\\\\x=10[/tex]
[tex]|SU|=(x+3)+(2x-7)=3x-4[/tex]
Substitute:
[tex]|SU|=(3)(10)-4=30-4=26[/tex]
Answer: |SU| = 26 m