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defon
3 years ago
5

What is the sum of the measures of the exterior angles of a nonagon?

Mathematics
2 answers:
olchik [2.2K]3 years ago
5 0

For this case we have by definition, that the sum of the exterior angles of a polygon is equal to 360 degrees, only when considering only one exterior angle for each vertex of the polygon, regardless of the number of sides it possesses. That said we have to:

The external angle of a regular polygon is given by:

\frac {360} {n}

Where:

n: It is the number of sides of the polygon

Then, for a nonagon each exterior angle will measure:

\frac {360} {9} = 40 degrees

Answer:

40 degrees each exterior angle

360 degrees the sum

belka [17]3 years ago
3 0

Answer:

360 degrees

Step-by-step explanation:

each angle is 40 degrees, sum of all of them is 360

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STAR Co. provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with the paper mill.
mamaluj [8]

Answer:

  see below

Step-by-step explanation:

In order for the problem to make sense, we have to assume typos in Patterns 2, 3, and 4. We suppose they should be (0, 0, 3, 10), (8, 0, 0, 4) and (2, 1, 2, 1).

If we let p, q, r, s, t represent the number of rolls cut to patterns 1 to 5, respectively, then we want ...

  minimize 10p +10q +4r +s +t . . . . . . . total trim loss

  subject to ...

     0p +0q +8r +2s +7t = 5672 . . . . . . number of 12-ft rolls

     6p +0q +0r +1s +1t = 1670 . . . . . . . . number of 15-ft rolls

     0p +3q +0r +2s +0t = 3200 . . . . . . number of 30-ft rolls

     p≥0, q≥0, r≥0, s≥0, t≥0

_____

The solution works out to be (p, q, r, s, t) = (1, 0, 253, 1600, 64) with a trim loss of 2686 feet (equivalent to 27 100-ft rolls).

Note that we have endeavored to fill the order exactly. We don't know if there are cut choices that would minimize loss further, but result in a few rolls extra of some width or another.

3 0
3 years ago
A line contains the points P(1, 1) and Q(7, 10). What is the slope of the line?
lana66690 [7]

Answer and work down below. Let me know if you have any questions

7 0
3 years ago
Bruno‘s mother is eight more than twice his age. His father is three years older than his mother is. If all three members have l
Reptile [31]

Answer:

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Step-by-step explanation:

Given that :

Let

Bruno's age = x

Mothers age = 8 + 2x

Father's age = 8 + 2x + 3 = 2x + 11

x + 8 + 2x + 2x + 11 = 94

5x + 19 = 94

5x = 75

x = 75 /5

x = 15

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

5 0
2 years ago
25 POINTS I NEED HELP
koban [17]
We know that his woodshed is a parallelepiped, and 8' is the depth, 16' is the lenght and 6' is the height.

A cord of wood is 4' high, 4' deep and 96" long.

96" = 8'

We find the volume of his woodshield.

V = h*d*l = 168*6 = 768 cubic feet

Find the volume of a cord

4*4*8 = 128 cubic feet

Do the ratio: 768/128 = 6

His woodshield can hold 6 cords.

For the second question, simply do a multiplication.

If 1 cord is $120, how much are 6?

120*6 = $720
7 0
3 years ago
andy spent half her allowance going to the movies. She washed the family car and earned $8. What is her weekly allowance if she
Valentin [98]

Answer:

i think it would be 18 dollars not entirely sure tho.

Step-by-step explanation:

if she ended with 17 and 8 of those dollars were bc of her washing her family car. u would subtract 17-8 which is 9 dollars.but she also spent half of her money before that. so u would add another 9 dollars. so ur answer would be 18 dollars.

hope this is right...

8 0
3 years ago
Read 2 more answers
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