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3 years ago

Graph the image of this figure after a dilation with a scale factor of 12 centered at the origin.

Mathematics

2 answers:

andreev551 [17]3 years ago

5 0

Answer:

The vertices of image are (-48,48), (24,24) and (72,96).

Step-by-step explanation:

From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).

The scale factor is 12 and the dilation is about the origin.

If a figure is dilated about the origin with scale factor k, then

$(x,y)\rightarrow (kx,ky)$

Since the scale factor is 12.

$(x,y)\rightarrow (12x,12y)$

The vertices of image are

$(-4,4)\rightarrow (-48,48)$

$(2,2)\rightarrow (24,24)$

$(6,8)\rightarrow (72,96)$

Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.

Elden [556K]3 years ago

3 0

Just took the test. This is the answer

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The average score of those students who passed a test was 65, the average score of those who did not pass was 35, and the overal

FrozenT [24]

Answer:

60%

Step-by-step explanation:

To find the total pass = 65 * number of student that passed, let it be be represented by P and number of students that failed F

Total pass = 65p

And total fail = 35F

For the total pass and failure will be 53(P+F)

Equating to total pass and total fail

65P +35F = 53( P+ F)

65P+35F = 53P+ 53F

65P-53P =53F-35F

12P=18F

2P= 3F

Hence there are 3 passing scores for every 2 failure scores, hence there are a multiple of 5 scores and the same multiple of 3 passing scores.

3/5 * 100= 60%

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3 years ago

What are the terms and coefficients of the expression?<br><img src="https://tex.z-dn.net/?f=12%20%2B%208r%20-%203%28s%20-%205%29

Bess [88]

Coefficients are 8,15

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3 years ago

Find the value of x?

Deffense [45]

Answer:

145°

Step-by-step explanation:

See the attachment. Angles A, B, and C all belong to the triangle.

We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:

<u> Result</u>

<A = (180 - 88) 72

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<C = (180 - 127) 53

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72 + (180-x) + 53 = 180

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2 years ago

6/7 Find the slope of the line.

Feliz [49]

The slope, if you have a graph, is the angle the line is going down so look at this graph:

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3 years ago

Read 2 more answers

Employment data at a large company reveal that 75% of the workers are married, 42% are college graduates, and half of the col

galina1969 [7]

Answer:

a. P=0.04

b. P=0.54

c. P=0.96

Step-by-step explanation:

If half of the college graduates are married, then we have:

- 21% are college graduates and married.

- 21% are college graduates and not married.

If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.

If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.

a) P=0.04 (explanation above)

b) P=0.54

c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.

P=1-0.04=0.96

8 0

3 years ago