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maxonik [38]
3 years ago
12

In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the measure of th

e angle that is made with 7th Ave and Broadway on the corner of The Shake Hut?
Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Denote

a_6 - 6th Avenue,

a_7 - 7th Avenue,

P - The Pizza Palace and S - The Shake Hut.

Therefore, you have two parallel lines a_6, a_7 and transversal PS. Given m∠P=54°, you have to find m∠S. Angles are consecutive interior angles with property

m∠P+m∠S=180°.

Then m∠S=180°-54°=126°.

Answer: 126°

tatuchka [14]3 years ago
3 0
<span> In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut?
126°</span><span>
</span>
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what is the rate of inflation if a savings account has a nominal interest rate of 3% and a real interest rate of 1%
IgorLugansk [536]

Answer:

the rate of inflation is 2%.

Step-by-step explanation:

given:

Nominal interest rate =3%

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To Find:

Rate of inflation=?

Solution:

Nominal interest rate:

Nominal interest rate refers to the interest rate before taking inflation into account.

Inflation rate:

The inflation rate is the percent increase or decrease in prices during a specified period. It's usually over a month or a year.

Real interest rate:

A real interest rate is an interest rate that has been adjusted to remove the effects of inflation to reflect the real cost of funds to the borrower and the real yield to the lender or to an investor.

Real interest rate ≈ nominal interest rate − inflation rate.

This can be re written as

inflation rate= Real interest rate - nominal interest rate

Substituting the values,

inflation interest = 1+3

inflation interest=4%

i hope this helpsss<3

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7 0
3 years ago
If a certain brand of icecream is 99% fat free, how many cups would you have to eat to ingest the same amount of fat that would
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Answer:

<em>10,000 cups </em>

Step-by-step explanation:

Direct proportional quantities are such that their quotients are always the same number. Example: If I need one cup of sugar to prepare 5 candies, I will need 2 cups of sugar to prepare 10 candies. The quotient 5/1 is equal to the quotient 10/2

Let's suppose a cup of regular ice cream would have 100 parts of fat.

The brand of ice cream mentioned in the question is 99% fat-free which means for every cup of their ice cream, we'll only get 1 part of fat. The relation is 100/1.

If we wanted 100 parts of fat out of fat-free ice cream we would need 100*100/1=10,000 cups of it

These numbers won't change if we used another number instead of 100 in the example shown.

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Step-by-step explanation:

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I think it is a or b idk
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