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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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3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
Veseljchak [2.6K]

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_<u>4</u>_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_<u>4</u>_ <u>_3_</u> ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_<u>4</u>_ _<u>3</u>_ _<u>2</u>_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

8 0
3 years ago
Can someone help meeee pleaseeee!!!
inna [77]
I took the test it’s 29
4 0
3 years ago
Rewrite the equation y – 4x = –9 in slope-intercept form. simple explanation and proof
dusya [7]

Answer:

y=4x-9

Step-by-step explanation:

add 4x to both sides to isolate y

4 0
3 years ago
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A plane is flying at the height of 5000 meter above the sea level. at a particular point, it is excatly above a submarine floati
AnnyKZ [126]

Answer:

3800 meters

Step-by-step explanation:

3 0
3 years ago
Plz help me. Jose travels 34 miles from home to work on a daily basis. If she takes up a job that is 1 and 1/2 times as far as h
algol13

Answer:

I think it is either 85 or 51 because the question was not specific

Step-by-step explanation:

I am not entirely sure if you mean Jose changed jobs or added a new job on top but i will do both.

34/2=17

17+34=51

OR

51+34=85

5 0
3 years ago
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