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Svetllana [295]
3 years ago
7

The green shape is a dilation of the black shape. What is the scale factor of the dilation?

Mathematics
2 answers:
kow [346]3 years ago
7 0

Answer:

4

Step-by-step explanation:

damaskus [11]3 years ago
7 0

Answer:

Step-by-step explanation:

The left most line is 2 units above the x axis on the black shape.

The left most line is 8 units above the x axis on the green shape

the dilation factor is

green / black = 8 / 2

green / black = 4

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Which of the following is the inverse of the statement if I do my homework then it will snow
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If I dont do my homework then it will not snow.
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The angles shown below are supplementary:<br><br> what is the value of x
Annette [7]

Answer:

x=12

Step-by-step explanation:

By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for x:

10x+60=180,\\10x=120,\\x=\boxed{12}

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3 years ago
Read 2 more answers
Which is better: having a stock that goes up 30% on Wednesday than drops 20% on Thursday, or a stock
finlep [7]

Step-by-step explanation:

  • If the stock goes up 30%, it's multiplied by 1.3.

The reason is that  x + .3 \times x=1.3\times x

  • If the stock goes down 20%, it's multiplied by 0.8

The reason is that x - .2 \times x = 0.8 \times x

  • If the stock goes down 30%, it's multiplied by 0.7

The reason is that x - .3 \times x = 0.7 \times x

  • If the stock goes up 40%, it's multiplied by 1.4.

The reason is that  x + .4 \times x=1.4\times x

So

If you increase it by 30% and then drop it by 20%, it means you are multiplying it by 1.3 and then multiplying it by .8. In other words:

1.3 \times 0.8=1.04

So, the net gain is = .04

Assume the original value = 500

Increase it by 30% and it becomes 650

Decrease 650 by 20% and it becomes 520

So, the net gain = 20

Verification:

500 \times .04=20

And

If you drop it by 30% and then increase it by 40%, you are multiplying it by .7 and then multiplying it by 1.4. In other words:

.7 \times 1.4=0.98

So, the net loss is = 1 - 0.98 = .02

Assume the original value = 500

Decrease it by 30% and it becomes 350.

increase 350 by 40% and it becomes 490.

So, the net loss is = 10

Verification:

500 \times .02=10

Keywords: stock, loss, gain

Learn more loss and gain from brainly.com/question/14456161

#learnwithBrainly

5 0
3 years ago
Paula used these steps to solve an equation: Step 1: Step 2: Step 3: Step 4: Step 5: Between which two steps did Paula use the d
djyliett [7]

Answer:

Step 4

Step-by-step explanation:

Paula used these steps to solve an equation:

Step 1: -4(7 + 8) - 21 = 25

Step 2: -4r – 32 - 2x = 25

Step 3: -61 – 32 = 25

Step 4: -6x = 57

Step 5: x = -9.5

Between which two steps did Paula use the division property of equality?

Step 1: -4(x + 8) - 2x = 25

Opening the parenthesis

Step 2: -4x – 32 - 2x = 25

Combining x-terms

Step 3: -6x – 32 = 25

Adding 32 to both sides

Step 4: -6x = 57

Dividing both sides by -6

Step 5: x = -9.5

The Division Property of Equality states that: when both sides of an equation are divided by the same nonzero number, both sides remain equal.

The rule applies to step 4 where both sides of the equation is divided by -6(nonzero number) giving us x = -9.5

This means from the equation, x is equal to -9.5 and -9.5 is equal to x

The correct answer is step 4

7 0
3 years ago
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