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777dan777 [17]
1 year ago
6

The measure of an interior angle of a regular polygon is 120°. What is the measure of each exterior angle? The polygon has how m

any sides?
Mathematics
1 answer:
Sunny_sXe [5.5K]1 year ago
4 0

Answer:

60°, arms 6

Step-by-step explanation:

let the total arms = n

total generated angles in a regular polygon is = (n-2)×180

now,

(n-2)×180 = 120 n

or, 180n - 360 =120n

or, 60n = 360

or, n = 6

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1. You roll a standard number cube. Find P(number greater than 2).
ra1l [238]

Answer:

P={3,4,5,6}

Step-by-step explanation:

Cube=6 sides={1,2,3,4,5,6}

P>2

P={3,4,5,6}

7 0
3 years ago
In 1992, the countries Chad and Denmark each had population of about 5.2 million. However,
irinina [24]

9514 1404 393

Answer:

  5,339,479

Step-by-step explanation:

The populations in millions of the different countries can be represented by the equations ...

  c = 5.2(1.025^t)

  d = 5.2(1.001^t)

We want to find d when c = 10. Solving for t when c=10, we have ...

  10 = 5.2(1.025^t)

  10/5.2 = 1.025^t

  log(10/5.2) = t×log(1.025)

  t = log(10/5.2)/log(1.025)

Then the value of d for that value of t is ...

  d = 5.2(1.001^(log(10/5.2)/log(1.025)) ≈ 5.3394789

The population of Denmark is about 5,339,479 when the population of Chad is 10 million.

_____

If we round the number of years to 26.5 before computing the population of Denmark, we get 5,339,571 -- about 92 more people. Ordinarily, one would not round intermediate results.

3 0
3 years ago
Please help, and explain step by step, thanks!
allsm [11]

Answer:

<em>Answer: B San Francisco</em>

Step-by-step explanation:

It can be read that Geneva is 12°C colder than Nikki's hometown. It can be seen in the table that Geneva is at -3°C.

This means that Nikki's hometown is 12°C hotter than Geneva, thus:

Temperature of Nikki's hometown = -3°C + 12°C = 9°C.

The only city with a temperature of 9°C is San Francisco.

Answer: B San Francisco

5 0
2 years ago
11
Gnesinka [82]

Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:

с 1 and 3

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the functions and constants are given as follows:

  • 1. 4y = 3x -> k = 3/4.
  • 2. 8y = 5x -> k = 5/8.
  • 3. 8y = 6x -> k = 6/8 = 3/4.
  • 4. 5y = 8x -> k = 8.5.

Equations 1 and 3 have the same constants, hence option c is correct.

More can be learned about proportional relationships at brainly.com/question/10424180

4 0
1 year ago
the muffin shop chain of bakeries sold 745,305 muffins last year. write this number in expanded form . PS I know this just to la
ohaa [14]
700,000 + 40,000 + 5,000 + 300 + 5. HOPE I HELPED!!!
6 0
3 years ago
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