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ElenaW [278]
2 years ago
9

If ∠DEG is 8 times m∠FEG, what is m∠DEG?

Mathematics
1 answer:
mihalych1998 [28]2 years ago
3 0

Answer:

160

Step-by-step explanation:

180 (a straight angle's degrees) /9 = 20

20 * 8 = 160

Check:

160 + 20 = 180

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Answer:

  56√2 ≈ 79.20

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...

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  s = 28/√2

The perimeter is 4 times the side length, so is ...

  P = 4s = 4·28/√2

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  = 56√2 ≈ 79.195959

The perimeter of the square is 56√2, about 79.20 units.

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5 0
3 years ago
The following graph represents a retirement savings account after the owner of the account begins withdrawing 5% each year.
Dmitry [639]

Answer:

Options 2 and 5 are true.

Step-by-step explanation:

We are given that,

The graph represents the amount in the savings account after the owner withdraws the money each year.

According to the options, we have,

1. As time increases, the amount of money in the savings account is decreasing. So, the function is an example of exponential decay.

2. Also, the initial amount of money in the account is 500,000 dollars.

3. After 10 years, the amount in the account is less than 300,000 dollars.

4. Now, the amount withdrawn by the owner is decreasing exponentially and so cannot be same each year.

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Options 2 and 5 are true.

6 0
3 years ago
Read 2 more answers
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