Parallelogram P was dilated to form parallelogram P.
2 answers:
Answer:
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 .
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.
⇒
∴ (Answer)
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