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raketka [301]
3 years ago
9

Pentagon A'B'C'D' is the image of pentagon ABCDE under a dilation,

Mathematics
1 answer:
viva [34]3 years ago
3 0

Answer:

scale factor = \frac{1}{3}

Step-by-step explanation:

Compare the ratio of corresponding sides, image to original.

AB = 6 units and A'B' = 2 units, thus

scale factor = \frac{A'B'}{AB} = \frac{2}{6} = \frac{1}{3}

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−4(3m−3)+(−10+8m)=?
Valentin [98]
-4(3m-3)+(-10+8m)
12m+12-1+8m
12m+8m = 20m
+12 -1= +11
answer: 20m+11


*note negative times a negative equals positive and negative times positive is negative 
first: you multiply -4 by 3m which is -12m.
second: you multiply -4 by -3 which is +12
third: find the invisible which is 1. (located right here: +(1) (-10+8m)
fourth: multiply invisible 1 by -10 which is -10
fifth: multiply invisible one by +8m which is +8m 
sixth: combine like terms
seventh: answer
 
5 0
3 years ago
What is the value of x?
vivado [14]

Answer:

33.5

Step-by-step explanation:

4x+5+41=180

4x+46=180

4x=180-46

4x=134

4x=33.5

6 0
3 years ago
Solve for x. 5x - 4 = -3x + 12
Dmitriy789 [7]

Step-by-step explanation:

5x+3x=12+4

8x=16

x=16÷8

x=2

5 0
3 years ago
Read 2 more answers
Use partial quotients to solve 504 divide 14
miv72 [106K]

Answer:

Perform the following division using partial quotients: 504 ÷ 14:

To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1

Step-by-step explanation:

1 4| 5 0 4

2 8 0 20 <---- 20 x 14 = 280

2 2 4 <---- 504 - 280 = 224

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10 <---- 10 x 14 = 140

8 4 <---- 224 - 140 = 84

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10

8 4

7 0 5 <---- 5 x 14 = 70

1 4 <---- 84 - 70 = 14

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10

8 4

7 0 5

1 4

1 4 1 <---- 1 x 14 = 14

0 <---- 14 - 14 = 0

Our partial quotients add up as follows:

20 + 10 + 5 + 1 = 36

I hope it helps plz Mark me brainliest:)

5 0
3 years ago
A company's current stock price is $50.00 and its most recent dividend was $2.00 per share. Since analysts estimate the company
4vir4ik [10]

Answer:

Expected rate of return  =7.1% (Approx.)

Step-by-step explanation:

Given:

Current stock price = $50

Divided d = $2

Growth rate g = 5 %

Find:

Expected rate of return

Computation:

Expected rate of return = D(1+g)/Current Price + g

Expected rate of return = [2(1+5%)/50] + 5%

Expected rate of return  =7.1% (Approx.)

6 0
3 years ago
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