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disa [49]
3 years ago
5

Solve for the unknown angle measures of the polygon. The measures of 13 of the 14 angles of a 14−gon add up to 2,040°. What must

the fourteenth angle measure be?
Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

Answer: The measure of fourteenth angle is 120°.

Step-by-step explanation:

Since we have given that

Total number of angles in 14 gon = 14

Sum of measures of 13 angles = 2040°

As we know that sum of all angles in 14 gon would be

(14-2)\times 180^\circ\\\\=12\times 180^\circ\\\\=2160^\circ

So, the measure of fourteenth angle would be

\sum_{x=1}^{13}+x_{14}=2160^\circ\\\\2040^\circ+x_{14}^\circ=2160^\circ\\\\x_{14}^\circ=2160-2040\\\\x_{14}^\circ=120^\circ

Hence, the measure of fourteenth angle is 120°.

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Sung is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
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Step-by-step explanation:

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The difference of 22 and a number is -8<br><br> A.14<br> B.30<br> C.-30<br> D.-14
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The product of two consecutive odd integers is 782. What are the integers?
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Call the smaller of the two odds = n

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n^2 + 2n = 782          Subract 782 from both sides.

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Discussion

This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.

For example, you could use 783, (which factors) instead of 782 .

Solve

n^2 + 2n - 783 = 0

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<u>Solution One</u>

n - 27 = 0

n = 27

The two odd consecutive integers are 27 and 29.

<u>Solution Two</u>

n + 29 = 0

n = - 29

The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.

7 0
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