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spayn [35]
3 years ago
7

The table below shows how many triangles are formed when all the diagonals are drawn from one vertex in different regular polygo

ns. Based on the information in the table, which of the following statements is true? The number of triangles formed in any regular polygon is 2 less than the number of sides in the polygon. The number of triangles formed in any regular polygon is half the number of sides in the polygon. All the triangles formed in each regular polygon are congruent. All the triangles formed in each regular polygon are isosceles.
Mathematics
1 answer:
Scrat [10]3 years ago
3 0

Answer:

a

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Prove: If n is a positiveinteger and n2 is<br> divisible by 3, then n is divisible by3.
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Answer:

If n^2 is divisible by 3, the n is also divisible by 3.

Step-by-step explanation:

We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then, n^2 is not divisible by 3.

Let n not be divisible by 3. Then \frac{n}{3} can be written in the form of fraction \frac{x}{y}, where x and y are co-prime to each other or in other words the fraction is in lowest form.

Now, squaring

\frac{n^2}{9} = \frac{x^2}{y^2}

Thus,

n^2 = \frac{9x^2}{y^2}

\frac{n^2}{3} = \frac{3x^2}{y^2}

It can be clearly seen that the fraction \frac{3x^2}{y^2} is in lowest form.

Hence, n^2 is not divisible by 3.

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Answer:

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Step-by-step explanation:

50 - 17.50 = 32.50

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