Because we can transform circle A into circle B by using transformations, we conclude that circle A and B are similar.
<h3>
How to prove that the two circles are similar?</h3>
We know that two figures are similar if one is a transformation of the other. So let's find the transformations that we need to apply to circle A to get circle B.
First, let's move the center. We can see that we need to translate circle A 5 units down and 3 units to the left.
Now, the radius of circle A is 5 units, while the radius of circle B is 2 units, then we have a scale factor k such that:
k*5 units = 2 units
k = 2/5
Then, if we apply the transformations to circle A.
- shift of 5 units down.
- shift of 3 units left.
- dilation of scale factor 2/5.
We get circle B, so circle A and circle B are similar.
If you want to learn more about circles, you can read:
brainly.com/question/1559324
Answer:
25 gallons
Step-by-step explanation:
Given
135 miles to 5 gallons
Required
Determine the number of gallons for 675 miles
From the question, number of miles is directly proportional to number of gallons:
So, we have:

and

<em>Where x represents the number of gallons for 675 miles</em>
Cross Multiply:


Make x the subject


<em>Hence, the car needs 25 gallons</em>
Answer:
68
Step-by-step explanation:
Answer:
4m
Step-by-step explanation:
It would be 4m as there are four different copies and the variable being used originally is 'm'. Therefore, we can move it around and since multilication is d addtiion, we would correct this to 4m.