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------------------------------------------------ For what values of x and y must ABCD be a parallelogram? + 3 x = 5, y= 7 X = 6, y= 5 x = 9, y = 7 X= 7, y = 9

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Answer :

Answer:

x = 7, y = 9

Option D

Explanation:

Note that opposite sides of a parallelogram are parallel and equal. So it means that side AB is equal to side DC, let's equate the two sides and solve for x;

[tex]\begin{gathered} 3x-5=2x+2 \\ 3x-2x=2+5 \\ x=7 \end{gathered}[/tex]

So x = 7.

Also, side AD is equal to side BC, so we can equate the two sides and solve for y;

[tex]\begin{gathered} 2y-6=y+3 \\ 2y-y=3+6 \\ \therefore y=9 \end{gathered}[/tex]

So y = 9

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