Respuesta :

Answer:

A

Step-by-step explanation:

Since opposite sides of a parallelogram are congruent, set the equations equal to each other.

Solve:

-3x + 32 = 8x - 23

+3x           +3x

32 = 11x - 23

+23        +23

55 = 11x

/11     /11

5 = x

Answer:

Option A is correct

The value of x is 5 because opposites sides of a parallelogram are congruent

Step-by-step explanation:

A parallelogram has two parallel and equals sides.

The opposite sides are parallel

Also, the opposite sides are equal

Using this,

Then,

-3x+32 = 8x-23

Subtract 32 from both sides

-3x+32-32=8x-23-32

-3x=8x-55

Subtract 8x from both sides

-3x-8x=8x-55-8x

-11x=-55

Then, divide both sides by -11

-11x/-11=-55/-11

x=5

So the value of x is 5 and the opposite side of a parallelogram are congruent and equal

Option A is correct