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lesya692 [45]
2 years ago
13

Prove that the two circles shown below are similar.​

Mathematics
1 answer:
tekilochka [14]2 years ago
4 0

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

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Step-by-step explanation:

1. P(light OR domestic) = P(light) + P(domestic) − P(light AND domestic)

P(light OR domestic) = 0.62 + 0.70 − 0.55

P(light OR domestic) = 0.77

2. P(light AND not domestic) = P(light) − P(light AND domestic)

P(light AND not domestic) = 0.62 − 0.55

P(light AND not domestic) = 0.07

3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)

P(light GIVEN not domestic) = 0.07 / (1 − 0.70)

P(light GIVEN not domestic) = 0.233

4. Two events are independent if P(A) × P(B) = P(A and B).

P(light) × P(domestic) = 0.62 × 0.70 = 0.434

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Therefore, the type and location are not independent.

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3 years ago
Find the length of a rectangle with a perimeter of 76 inches and width of 16 inches.
levacccp [35]

Answer:

22 inches

Step-by-step explanation:

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72 (perimeter) - 32 (width x 2) = 44 inches

44 divided by 2 is 22, which is the length.

3 0
2 years ago
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Answer:

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Step-by-step explanation:

50p+5=225

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