The center of dilation has a coordinate of 
and the scale factor is 
. The <em>transformation</em> formula is 
.
<h3>
How to define a dilation between two concentric circles</h3>
Two circles are <em>concentric</em> when they share the same center (
) but they have different radii (
), where 
corresponds to the radius of the <em>smaller</em> circle. By analytic geometry we know that circles are modeled after this formula:
(1)
If we assume that the center of dilation is the center of both circles and the dilation use a scale factor of . Then, we have the following expression:
(2)
The center of dilation has a coordinate of and the scale factor is . The <em>transformation</em> formula is . 
To learn more on dilations, we kindly invite to check this verified question: brainly.com/question/2856466
Answer:
m<bec = 60
Step-by-step explanation:
3x +2x +x = 180 (combine like terms)
6x = 180 (divide 180 by 6 to get x alone on one side of the equation)
x = 30
BUT you're not done yet because it asked for m<bec which is 2x so you have to multiply 30(2) which is 60
Answer:
Step-by-step explanation:
3 consecutive even numbers : x, x + 2, x + 4
x + x + 2 + x + 4 = 90
3x + 6 = 90
3x = 90 - 6
3x = 84
x = 84/3
x = 28...thats gonna be the smallest
x + 2 = 28 + 2 = 30
x + 4 = 28 + 4 = 32
Answer: 66
Step-by-step explanation:
From the question, we are informed that a player at a basketball camp set a goal to make 55% if his shots and that he has 120 attempts.
The number of shots that he would he need to make in order to reach his goal will be 55% of 120. This will be:
= 55% × 120
= 55/100 × 120
= 0.55 × 120
= 66
He would need to make 66 shots
