ANSWER
[tex]x=-3.67[/tex]
EXPLANATION
The given figure is a parallelogram. The diagonals of a parallelogram bisect each other.
This implies that:
[tex]5x+7=2x-4[/tex]
To solve for x, collect like terms and simplify:
[tex]\begin{gathered} 5x-2x=-4-7 \\ 3x=-11 \\ x=\frac{-11}{3} \\ x=-3.67 \end{gathered}[/tex]
That is the value of x to the nearest hundredth.
