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sdas [7]
3 years ago
11

Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s

how that circle A is similar to circle B
A. Translate circle A using the rule (x − 3, y + 4).

B. Rotate circle A 270° about the center.

C. Reflect circle A over the line x=1

D. Dilate circle A by a scale factor of 5.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Answer:

D.Dilate circle A by a scale factor of 5.

Step-by-step explanation:

We are given that

The center of circle A is (2,8) and radius of circle A is 2.

The center of circle B is (5,4) and radius of circle B is 10.

We have to find the steps will help to show that circle A is similar to circle B.

When two circles are similar it means the size of circles can be same or different.Therefore, radius of circles will be same or  different.

But, the radius of circles are different.

Dilation: It is a transformation in which obtained figure is similar to the original figure.

Shape remains same but the size of figures are different.

Ratio of corresponding sides of  two figures=Scale factor

When a circle is dilated then,

Ratio of  radius of circle obtained after dilation to the radius of original circle= Scale factor

Scale factor=\frac{10}{2}=5

Hence, option D is true.

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The difference between mixed numbers gives:

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So the correct option is the third one.

<h3 /><h3>How to get the difference between mixed numbers?</h3>

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

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Now, let's go to the difference:

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First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆  + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆  + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

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