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The diagonals of a parallelogram bisect each other. It means the segments, after bisection, are equal to each other.
From the figure, we can write:
[tex]\begin{gathered} 2u+2=5u-10 \\ \text{and} \\ 6=\frac{v}{3} \end{gathered}[/tex]We can solve the first equation and get the value of u:
[tex]\begin{gathered} 2u+2=5u-10 \\ 2+10=5u-2u \\ 12=3u \\ u=\frac{12}{3} \\ u=4 \end{gathered}[/tex]Solving the second equation, we find the value of v:
[tex]\begin{gathered} 6=\frac{v}{3} \\ 6\times3=v \\ v=18 \end{gathered}[/tex]Answer: