Question

Parallelogram P was dilated to form parallelogram P.

Answer 1

Answer:

X=1

Step-by-step explanation:

Half of 20 is 10 so half of 8 is 4. Therefore, X(1)+3=4

Answer 2

Answer:

$x=1$

Step-by-step explanation:

Given:

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 $x$.

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 :

⇒ $\frac{\textrm{Side on parallelogram P'}}{\textrm{Side on parallelogram P}}$

⇒ $\frac{20}{10}$

⇒ 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 $x$ can be given as:

⇒ $2(x+3)=8$

Solving for $x$.

Using distribution:

⇒ $2x+6=8$

Subtracting both sides by 6.

⇒ $2x+6-6=8-6$

⇒ $2x=2$

Dividing both sides by 2.

⇒ $\frac{2x}{2}=\frac{2}{2}$

∴ $x=1$  (Answer)