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scZoUnD [109]
2 years ago
14

Which scale factor did Jorge most likely us to dilate figure ABCD to get A'B'C'D

Mathematics
1 answer:
Nostrana [21]2 years ago
8 0

The side length of square ABCD is 3 units

The side length of square A'B'C'D' is 1 unit

The scale factor is by what number we multiply the side length of ABCD to get A'B'C'D'.

Let that be "x", so we can say >>>

3 times "what number" to get 1

or,

3 times x to get 1

In equation, that is:

3x=1

Solving for x:

\begin{gathered} 3x=1 \\ x=\frac{1}{3} \end{gathered}

Hence,

The scale factor is

\frac{1}{3}

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Andru [333]

Answer:

2 3/4

Step-by-step explanation:

I think is the right answer hope it helps

3 0
3 years ago
7. Simplify this what’s the answer?
trasher [3.6K]

first the square root of 4 is 2 so we can sub that in.

now we have 2(2*2)^-2.

2 * 2 of course is 4

with 2(4)^-2, keep in mind that negative exponents just mean to "flip" the number and turn the exponents positive.

so 4^-2 is the same as 1/4^2 or 1/16.

finally 1/16 * 2 = 2/16. 2/16 simplified is 1/8.

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4 years ago
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4 0
4 years ago
To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expressi
valina [46]
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86

To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)

7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8

This implies that the company will need to sell at least 106 items to make a profit.

The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106

The solution to the inequality is as follows

Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695

Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66

Profit ≥ (695 - 694.66)
Profit ≥ 0.34

The company must sell at least 106 items to make a profit.
8 0
3 years ago
Read 2 more answers
Find the value of x? please help​
Stella [2.4K]

Answer:

49

Step-by-step explanation:

With these types of problems, you have to subtract the outer and inner values and then divide by 2. So, (125-27)/2 = 49. Hope this helps!

4 0
3 years ago
Read 2 more answers
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