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Determine the value of x using the diagram below. Around your answer to the nearest hundredth

Determine the value of x using the diagram below. Around your answer to the nearest-example-1

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ANSWER


x=-3.67

Step-by-step explanation

The given figure is a parallelogram. The diagonals of a parallelogram bisect each other.

This implies that:


5x+7=2x-4

To solve for x, collect like terms and simplify:


\begin{gathered} 5x-2x=-4-7 \\ 3x=-11 \\ x=(-11)/(3) \\ x=-3.67 \end{gathered}

That is the value of x to the nearest hundredth.

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