Abcd is a parallelogram. if side ab=5x+7 side bc=8x-12 and side cd=7x-14 find the value of x

The value of x is 10.5 units.

Step-by-step explanation:

Given:

ABCD is a parallelogram.

AB =

BC =

CD =

We need to find the value of x.

Now the Definition of Parallelogram states that;

"A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and the opposite angles are equal in measure."

Hence from Above definition we can say that;

since these are the opposite sides of parallelogram.

Now Substituting the given values we get;

Now solving the equation we get;

Combining the like terms first.

Now using addition and subtraction property of equality we get;

Now using Division Property we will divide 2 on both side we get;

Hence the value of x is 10.5 units.

2

step-by-step explanation:

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