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mel-nik [20]
3 years ago
11

the sum of the internal angles of a regular polygon is equivalent to 56 right angles. Find the measure of the central angle of t

he polygon
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0
If x is the number of sides of the regular polygon, then the sum of the interior angles is (x - 2) * 180 = 56 * 90. Solving for x gives 30 for the number of sides of the regular polygon.

To get the central angles measure, divide 360 by 30 to get 12 degrees for the measure of one of the 30 central angles.

Answer: 12 degrees
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Q) Without a calculator, we must estimate the value of the following expression:

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First, we estimate the value of √38. √38 is between √36 and √49, but close to √36 (since 38 is closer to 4 than it is to 9). Since √36 is 6, √38 is probably something like 6.1 or 6.2. Filling 6.2 in the expression and simplifying, we have this:

3-6.2=-3.2.

So, I expect the number 3 - √38 to be close to -3.2.

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Answer

Without a calculator we find that 3 - √38 ≅ -3.2.

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Answer: second option y = 2(x + 7/2)^2 + 1/2

Explanation:

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y = (x + 3)^2 + (x + 4)^2

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3) add like terms:

y = 2x^2 + 14x + 25

4) take common factor 2 of the first two terms:

y = 2 (x^2 + 7x) + 25

5) complete squares for x^2 + 7x

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