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jok3333 [9.3K]
2 years ago
6

What is the measure on an interior angle of this polygon?

Mathematics
2 answers:
Leona [35]2 years ago
7 0

Answer:

a. 160

b. 18

Step-by-step explanation:

a. When the exterior and interior angles are added together, they add up to 180°. So this means that the interior angle equals 160°

180-20=160

b. The total of all exterior angles will always add up to 360°. With this information, you can divide 360 by the exterior angle to get the total sides of the shape.

\frac{360}{20} =18

Karo-lina-s [1.5K]2 years ago
5 0

Answer:

a) 160°

b) 18 sides

Step-by-step explanation:

Interior angle = 180 - exterior

= 180 - 20 = 160°

Each angle of a regular polygon:

[(n-2)×180]/n = 160

180n - 360 = 160n

20n = 360

n = 18

Alternate approach for no. of sides:

360/n = each exterior angle

360/n = 20

n = 360/20 = 18

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Which sequence represents an arithmetic sequence?
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Answer:

D

Step-by-step explanation:

We know that an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is always constant.

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Here difference between -5 and -7 is -2

But difference between -10 and -7 is -3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

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Here difference between 1.5 and -1.5 is 3

But difference between -1.5 and 1.5 is 3

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

4.1, 5.1, 6.2, 7.2, …  

Here difference between 4.1 and 5.1 is 1

But difference between 6.2 and 5.1 is 1.1

⇒ Difference is not constant.

Therefore, this sequence does not represents an arithmetic sequence.

−1.5, −1, −0.5, 0, …

Here difference between -1.5 and -1 is 0.5

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Therefore, this sequence represents an arithmetic sequence.

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2 years ago
For an essay contest, Annika needs to write 400 words with an absolute deviation of less than 10 words. Using w as a variable, w
saw5 [17]

Answer:

The absolute value inequality to represent the situation is presented as follows;

\left | w -400  \right |

Step-by-step explanation:

The given information are;

The number of words Annika needs to write = 400 words

The absolute deviation of the number of words Annika needs to write = 10 words

When we let the number of words Annika write = w, we have;

The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;

\left | w -400  \right |

Therefore we have;

\left | w -400  \right |  gives the statement, -10 < w - 400 < 10.

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Answer: 26.3

Step-by-step explanation:

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