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In parallelogram ABCD, AC= 3x-17 and AO= 5 Find x.
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In parallelogram ABCD, AC= 3x-17 and AO= 5 Find x.

User VingInMedina
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in parallelogram ABCD, AC= 3x-17 and AO= 5 Find x.

we know that

In a parallelogram opposite sides are congruent and the diagonals bisect each other

In this problem

I will assume that AC is a diagonal of the parallelogram and O is the intersection both diagonals

that means

AO=AC/2

substitute the given values

5=(3x-17)/2

solve for x

10=3x-17

3x=10+17

3x=27

x=9

User Goldberg
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