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enyata [817]
3 years ago
10

Which equation can be used to find the measure of the angles below if line a is parallel to line b?

Mathematics
2 answers:
dangina [55]3 years ago
6 0

Answer:

C. 5x - 54 = 3x + 16

Step-by-step explanation:

These angles are alternate interior angles and their measurement is same

5x - 54 = 3x + 16

5x - 3x = 16 + 54

2x = 70 divide both sides by 2

x = 35

IgorC [24]3 years ago
5 0
I think the answer is c
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Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your
Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

D = \frac{72}{Interest Rate}

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In our exercise, the interest rate is 9%. So, by the rule of 72:

D = \frac{72}{9} = 8.

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

A = P(1 + \frac{r}{n})^{nt}

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

A = 2P

r = 0.09

The interest is compounded anually, so n = 1

A = P(1 + \frac{r}{n})^{nt}

2P = P(1 + \frac{0.09}{1})^{t}

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Now, we apply the following log propriety:

\log_{a} a^{n} = n

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The exact doubling time of this amount is 8.04 years.

4 0
3 years ago
Toothy the crocodile wants to eat a delicious chicken. His mouth is open to an angle of 30 degrees.
damaskus [11]

Answer: 25°

Step-by-step explanation:

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The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:

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7 0
3 years ago
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Ivanshal [37]

Step-by-step explanation:

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A

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