MckennonE617863 MckennonE617863

03-11-2022
Mathematics

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Given parallelogram ABCD, diagonals AC and BD intersect at point E.AE = 2x, BE = y + 10, CE = x + 2 and DE = 4y - 8. Find y.

Given parallelogram ABCD diagonals AC and BD intersect at point EAE 2x BE y 10 CE x 2 and DE 4y 8 Find y class=

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GriffenS686303 GriffenS686303

03-11-2022

The diagram below show the situation given in the problem:

We know that the diagonals of a parallelogram bisect each other, which means that AE=CE and BE=DE; using the second equality we have that:

[tex]\begin{gathered} y+10=4y-8 \\ 4y-y=10+8 \\ 3y=18 \\ y=\frac{18}{3} \\ y=6 \end{gathered}[/tex]

Therefore, the value of y is 6 and the answer is A.

Ver imagen GriffenS686303

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