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Alenkasestr [34]
3 years ago
5

He sum of the interior angles, s, in an n-sided polygon can be determined using the formula s = 180(n 2), where n is the number

of sides. Benita solves this equation for n and writes the equivalent equation n = + 2. Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

9

Step-by-step explanation:

Equation

Sum = s  = 180*(n - 2)

Solution

1260 = 180*(n - 2)             Divide by 180

1260 / 180 = 180 * (n -2 ) / 180

7 = n - 2                             Add 2 to both sides

9 = n            

Answer

The polygon has 9 sides.

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When two 6-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is 8
katrin2010 [14]

Answer:

5/36

Step-by-step explanation:

Probability is the outcome that a  event will occur

Probability = Expected outcome/Total outcome

Since two sided dice are rolled, the total outcome will be expressed as;

Total outcome = 36

Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;

(2,6)(6,2), (5, 3), (3,5), (4, 4)

The expected outcome = 5

Probability = 5/36

Hence the probability that the sum is 8 is 5/36

4 0
3 years ago
Brienne and 3 friends bought tickets to the movies. They spent a total of $27.00 on the tickets. Which equation represents this
Sindrei [870]
Hello!

The equation that represents this situation is A. 3t = 27.

Explanation:

This is because an equation is a "mathematical sentence" and this equation says that if you multiply the costs of the three friends' tickets, the total cost would be $27.
5 0
3 years ago
Heron Island is a coral cay in the Great Barrier Reef. Around Heron Island (and elsewhere in Australia) there are 2 color morphs
kobusy [5.1K]

In case A, as the error would be a difference of 1, the assumption could be mantained, but in case B the difference will be bigger, showing that the ratio is not 3:1 but 4:1.

<h3><u>Ratios</u></h3>

Given that a preliminary study was carried out to test the hypothesis that the ratio of white to dark herons on the island was 3:1, but A) a small census found 16 white morphs and 4 dark, to determine if the assumption of a 3 :1 ratio could be rejected, and B) to determine the same question if the census were larger with 160 white morphs and 40 dark, the following calculations must be made:

A)

  • 3 + 1 = 4
  • 16 + 4 = 20
  • 4 = 20
  • 3 = X
  • 60 / 4 = X
  • 15 = X
  • Therefore, as the error would be a difference of 1, the assumption could be mantained.

B)

  • 3 + 1 = 4
  • 160 + 40 = 200
  • 150 = 3:1
  • In this case, the difference will be bigger, showing that the ratio is not 3:1 but 4:1.

Learn more about ratios in brainly.com/question/1504221

3 0
2 years ago
in the diagram, AE is tangent to the circle at point a and secant DE intersects the circle at point C and D. the iines intersect
AlexFokin [52]
Recall the secant-tangent theorem, and you have
EA^2 = EC*CD
12^2 = 8*(x+10)
and now ED = EC+CD = 8+x+10

I suspect a typo somewhere in the murk above
8 0
2 years ago
I have more question then this
gregori [183]

Answer:

A. A reflection over the x-axis

8 0
3 years ago
Read 2 more answers
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