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Given: rhombus ABCD with diagonals drawn. AE= 2/3x and EC=x-10Find the value of X

Given Rhombus ABCD With Diagonals Drawn AE 23x And ECx10Find The Value Of X class=

Sagot :

In a rhombus (and in any type of parallelogram), the diagonals intersect in their middle point.

That means the segments AE and EC have the same length.

So we have that:

[tex]\begin{gathered} AE=EC \\ \frac{2}{3}x=x-10 \\ x-\frac{2}{3}x=10 \\ \frac{1}{3}x=10 \\ x=10\cdot3 \\ x=30 \end{gathered}[/tex]

So the value of x is 30.

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