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lana [24]
3 years ago
14

A polygon whose sum of its interior angle measure is 2340 has how many sides?

Mathematics
2 answers:
Phantasy [73]3 years ago
6 0
The answer is : 15 sides
lorasvet [3.4K]3 years ago
4 0

Answer:

15

Step-by-step explanation:

General formula for the sum of interior angles of any polygon:

180(n-2)

n is the number of sides.

Thus,

2340/180 + 2 = n

n = 15

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Answer:

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Step-by-step explanation:

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\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}.

In other words, (a^{2} - b^{2}), the difference of two squares in the form a^{2} and b^{2}, could be factorized into (a - b)\, (a + b).

In this question, the expression (9\, w^{2} - 100) is the difference between two terms: 9\, w^{2} and 100.

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Hence:

9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}.

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