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)
Answer: 5
This is because (4r + 6) means you take r and multiply that number by 4.
Because there is no number, r would equal one in this case.
4 • 1 is 4
4 + 6 is 10
This would give us 1/2(10)
Half of 10 is 5.
Therefore, the answer is 5.
Answer:
15cents.
Step-by-step explanation:
The cost of yogurt is $0.75
20% of this amount is the profit to the company
Profit = 
= $0.15
So the profit to the company is 15cents.
Cannot reduce, it is already in simplest form. You can convert it to a decimal though, 0.671875