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mamaluj [8]
3 years ago
11

Rectangle ABCD is transformed to A’B’C’D’ by a dilation. What is the scale factor used for the dilation?

Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

Scale factor = 3

Step-by-step explanation:

Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure

Scale factor = B'C'/BC

B'C' = 9 units

BC = 3 units

Scale factor = 9/3 = 3

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Annie spent $20.02 at the post office. She bought 2 times as many 32-cent stamps as 13-cent stamps. How many of each did she buy
ivolga24 [154]

Answer:

52 32- cent stamps and 26 13-cent stamps

Step-by-step explanation:

Let x be the 32-cent stamps and y be the 13-cent stamps then...

x=2y

32x+13y=2002 (note that $20.02 is 2002 cents)

We can solve using substitution (substitute 2y for x)

32(2y)+13y=2002

64y+13y=2002

77y=2002

y=26

x=2(26)

x=52

She bought 52 32-cent stamps and 26 13-cent stamps.

8 0
2 years ago
What is the answer to 2x+8
Sloan [31]
2x + 8.....factor = 2(x + 4)
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4 years ago
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A class at Middlebury school collected date on the types of movies students prefer. Complete each statement using the table.
likoan [24]

Based on the information of the table, you have:

1. The ratio is 105/150. By simplifying you get for the ratio 7/10.

2. The students that prefer action movies are 75+90 = 165 and the total numbe of students is 180+240 = 420. Then, the fraction of students who prefer action movies is:

165/420 = 11/28

3. The fraction of seventh graders students that prefer action movies is:

75/180 = 5/12

4. The percent of student that prefer comedy is:

105 + 150 = 255 total student that prefer comedy

420 total number of students

the fraction is:

(x/100)420 = 255

solve for x:

x = 255(100/420)

x = 60.71

the percent of students is 60.71%

5. The percent of eighth graders student who prefer action moveis is:

(x/100)240 = 90

x = 90(100/240)

x = 37.5

the percent of students is 37.5%

6. To determine which from the given grades has the greatest percent of student that prefer action movies, calculate the percent of student in seventh-grade:

(x/100)180 = 75

x = 75(100/180)

x = 41.66

the percent of student is 41.66%

then, seventh grade has the greatest percent of student that prefer action movies.

4 0
1 year ago
7/9 - 3/9 = ???????????????????????????????
Alexus [3.1K]

Answer:

your answer is : 4/9

~hope you have a great day/night :-) ~

Step-by-step explanation:

6 0
3 years ago
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What is the area of this polygon?<br><br><br><br> Enter your answer in the box.
inna [77]
Area of Square/Rectangle-LxW
Area of triangle-BxH(divided by)2


Area of polygon=56
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