Parallelogram p was dialated from parallelagram p’ what ia th vaue of x

I = 1

Step-by-step explanation:

Parallelogram P is dilated to form parallelogram P'.

The side of P which is = 10 units corresponds 20 units in P'.

The side of P which is given as =(x+3)  units corresponds 8 units in P'.

To find the value of .

Solution:

The scalar factor of dilation from P to P' can be given as the ratio of the corresponding sides of the parallelograms.

The scalar factor :

⇒

⇒

⇒ 2

This means the sides of the parallelogram P' is twice the sides of the parallelogram P.

The side of P which is given as =(x+3)  units corresponds 8 units in P'.

Using the scalar factor the equation to solve for  can be given as:

⇒

Solving for .

Using distribution:

⇒

Subtracting both sides by 6.

⇒

⇒

Dividing both sides by 2.

⇒

∴

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0