Respuesta :

Answer:

The value of x is equal to 1.

Step-by-step explanation:

For this problem, we are informed that the opposite sides of the quadrilateral are parallel and congruent, this means that their measurement is equal. With this in mind, we can solve for x by creating an equation that relates both sides:

[tex]16-2x=5x+9\\-2x-5x=9-16\\-7x=-7\\x=\frac{-7}{-7}\\x=1[/tex]

The value of x is equal to 1.

Answer:

[tex]\displaystyle 1 = x[/tex]

Explanation:

After viewing the image, it comes to the conclusion that oppocite sides in a parallelogram are parallel and congruent, thereby set these expressions equivalent to each other:

[tex]\displaystyle 5x + 9 = 16 - 2x \hookrightarrow \frac{-7}{-7} = \frac{-7x}{-7} \\ \\ \boxed{1 = x}[/tex]

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