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lutik1710 [3]
1 year ago
15

Prove that the two circles shown below are similar.

Mathematics
1 answer:
iren2701 [21]1 year ago
4 0

Circle X is translated 6 units right, 6 units down and then dilated by a scale factor of 1/2 to form circle Y,

<h3>What are similar figures?</h3>

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

<em>Translation, reflection, rotation and dilation</em> always produces similar shapes, therefore all circles are similar.

Circle X is translated 6 units right, 6 units down and then dilated by a scale factor of 1/2 to form circle Y,

Find out more on similar figures at: brainly.com/question/2644832

#SPJ1

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The digits of a two-digit number sum to 8. When the digits are reversed the resulting number is 18 less than the onginal
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Answer:

53

Step-by-step explanation:

Given: The sum of two digit number is 8

           Reversing the digit will get us number 18 less than the original.

Lets take x as tenth digit of our number and y as unit digit of our number.

As given sum of digit is 8

∴ x+y= 8

∴ y= 8-x -       equation 1

We also know that reversing the digit will get us number 18 less than the original.

∴ 10y+x = 10x +y-18

Now, lets put the value of y from equation 1

⇒ 10(8-x) + x = 10x+ (8-x)- 18

⇒ 80-9x= 9x-10

⇒ 90= 18x

∴ x= 5

Next, substituting the value of x in equation 1

y= 8-x

⇒ y= 8-5 = 3

∴ y= 3

∴ The original number is 53, sum of the digit is 8 and if we reverse the digit of the number, we get 35, which is 18 less than the original number.

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Step-by-step explanation:

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Step-by-step explanation:

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