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Lina20 [59]
3 years ago
14

Prove that the two circles shown below are similar.

Mathematics
1 answer:
timurjin [86]3 years ago
8 0

Answer:

Proved

Step-by-step explanation:

Given

Circle B

(x,y) = (-1,5) --- center

r = 4 ---radius

Circle D

(x,y) = (7,4) --- center

r = 2 ---radius

Required

Prove the similarity

First, we shift circle B, 8 units right.

The rule is:

(x,y) \to (x+8,y)

So, we have:

(-1,5) \to (-1+8,5)

(-1,5) \to (7,5)

Next, we shift the resulting image of B, 1 unit down.

The rule is:

(x,y) \to (x,y-1)

So, we have:

(7,5) \to (7,5-1)

(7,5) \to (7,4)

At this point, both circles have the same center

(x,y) = (7,4)

Compress the image of B by a dilation of 1/2.

This only affects the radius.

i.e.

r =r_B * 1/2

r =4 * 1/2

r =2

Now, the have the same center and the same radii.

<u>Proved</u>

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9 and 3 are the only common factors between 54 and 90
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Easy question
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Answer:

7/16

Step-by-step explanation:

Let the fraction be x/y

(x+5)/(y+5) = 4/7

7x + 35 = 4y + 20

7x + 15 = 4y

(x-1)/(y-1) = 2/5

5x - 5 = 2y - 2

2y = 5x - 3

7x + 15 = 2(5x - 3)

7x + 15 = 10x - 6

3x = 21

x = 7

2y = 5(7) - 3

2y = 32

y = 16

x/y = 7/16

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3 years ago
Malik bought chargers that are shaped like regular octagons. If the chargers have the dimensions shown below, what is the area o
vlada-n [284]
What are the dimensions?


7 0
3 years ago
The candy produced by a company has a sugar level that is normally distributed with a mean of 16.1 grams and a standard deviatio
artcher [175]

The correction option is B, It is out of control as one of these data points is more than 3 standard deviations from the mean.

<h3>What is Normal Distribution?</h3>

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

Given that the candy produced by a company has a sugar level that is normally distributed with a mean of 16.1 grams and a standard deviation of 0.9 grams. Therefore, the maximum and the minimum weight of the candy can be,

Maximum weight = Mean + 3(Standard deviation)

                             = μ + 3σ

                             = 16.1 + 3(0.9)

                             = 16.1 + 2.7

                             = 18.8

Minimum weight = Mean - 3(Standard deviation)

                            = μ - 3σ

                            = 16.1 - 3(0.9)

                            = 16.1 - 2.7

                            = 13.4

Since one of the reading point, 19.4 is more than 3 standard deviations from the mean, therefore, it can be concluded that the process is out of control.

Hence, It is out of control as one of these data points is more than 3 standard deviations from the mean.

Learn more about Normal Distribution here:

brainly.com/question/15103234

#SPJ2

3 0
1 year ago
Use the formula for the area to find the area of each light 7 inches . Use 3.14 for pi
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Answer:

Look up on google and there will be an engine there if you just type in the numbers it will give you the answer

Step-by-step explanation:

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