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Goshia [24]
3 years ago
10

What is the measure of an interior angle in a regular octagon?

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0
To find the interior angle of any regular polygon you can use the formula \frac{(n-2)*180}{n} where n is the number of sides
So, \frac{(8-2)*180}{8} =135
The measure of an interior angle in a regular octagon is 135
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100 points!!!<br><br> Multi-Step Equations with Distributive Property
ad-work [718]

Answer:

An example below

Step-by-step explanation:

5(4a + 7(a + 2b))

First simply the inside bracket using distributive property:

7(a + 2b)

7(a) + 7(2b)

7a + 14b

5(4a + 7a + 14b)

5(11a + 14b)

Use distributive property again

5(11a) + 5(14b)

55a + 70b

4 0
3 years ago
Read 2 more answers
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot
Morgarella [4.7K]

A. Solution set is in the attachment (dark green shading in the middle)

B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15

5 + 1 > 3, 6 is greater than 3

C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches

7 0
3 years ago
Please show work for both problems
kirill [66]

Answer:

3)  x = 15; 95 and 85      4)  x = 12; 98 for both angles

Step-by-step explanation:

2x + 65 + 3x + 40 = 180       Set the equations equal to 180

5x + 105 = 180                      Combine like terms

     - 105  - 105                      Subtract 105 from both sides

5x = 75                                  Divide both sides by 5

x = 15

Plug 15 into both equations

2(15) + 65 = 95

3(15) + 40 = 85

4)  5x + 38 = 9x - 10             Set the equations equal to each other

  - 5x          - 5x                    Subtract 5x from both sides

 38 = 4x - 10

+ 10       + 10                         Add 10 to both sides

48 = 4x                                  Divide both sides by 4

12 = x

Plug 12 into both equations

5(12) + 38 = 98

9(12) - 10 = 98

6 0
3 years ago
A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, e
topjm [15]

Answer:

The number of ways are there to paint the four buildings is 48.

Step-by-step explanation:

I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.

Therefore the first building can be colored in 4 ways.

ii) the second building can be colored in 3 ways since it cannot be colored the

same color as the first building.

iii) the third building can also be colored in 3 ways.

iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.

Therefore the total number of ways the buildings can be colored = 4 \times 3 \times 3  \times 2 = 48.

7 0
3 years ago
What answer to this question?
horrorfan [7]

Answer:

221

Step-by-step explanation:

13 x 17 = 221

4 0
3 years ago
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