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3 years ago

A regular polygon has an exterior angle of 8. what is the sum of all the interior angles

Mathematics

1 answer:

Bogdan [553]3 years ago

8 0

Answer:

7740 degrees.

Step-by-step explanation:

The sum of the exterior angles of all polygons add up to 360 degrees.

So the number of sides and the number of interior angles in this polygon = 360 / 8 = 45.

Each internal angle = 180 - 8 = 172 degrees, so the sum of all interior angles

= 172 * 45

= 7740 degrees,

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A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students an

Butoxors [25]

Answer:

Step-by-step explanation:

you have to add a table

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3 years ago

I need to figure out how many solutions does the system of equations below have.

Aleonysh [2.5K]

Answer:

The system has one solution.

Step-by-step explanation:

To find the number of solutions of the system, we equal both equations for y.

If we have ax = b, in which both a and b are different of 0, we have one solution.

If both a and b are 0, we have infinite solutions.

If a is 0 and b is not, there are no solutions.

y=6/7x-8 and y=7/9x+10/9

$\frac{6x}{7} - 8 = \frac{7x}{9} + \frac{10}{9}$

$\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8$

$\frac{54x - 49x}{63} = \frac{10}{9} + \frac{72}{9}$

$\frac{5x}{63} = \frac{82}{9}$

$45x = 63*82$

Both a and b are different of 0, so the system has one solution.

6 0

2 years ago

I swear this is not a quiz it's a lesson and I just finished the quiz and I got to 70

I am Lyosha [343]

Step-by-step explanation:

Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.

Example: (1, -2)

-2 < 0.5(1) + 2

-2 < 0.5 + 2

-2 < 2.5

True, -2 is less than 2.5.

Another Example: (-2, 1)

1 < 0.5(-2) + 2

1 < -1 + 2

1 < 1

False, 1 is not less than itself.

4 0

3 years ago

Please Solve this Lines and angles question

Kay [80]

Answer:

133°

Step-by-step explanation:

As vertically opposite angles are equal,

< B E D = < F E G

Therefore,

< B E D = 47°

We know that co - interior angles which occur between 2 parallel lines, are added up to 180°.

Given that, < A B E = x

Therefore,

< B E D + < A B E = 180 °

47 + x = 180

x = 180 - 47

x = 133°

Let me know if you have any other questions. :)

8 0

2 years ago

Matti built a greenhouse in his backyard as shown below

Vanyuwa [196]

well, Matti's house is a triangular prism, and to get the volume of it, we simply get the area of the triangle upfront and multiply by its length of 15.

$\bf \stackrel{\stackrel{\textit{area of }}{\textit{triangular front}}}{\cfrac{1}{2}(7)(7)}\times \stackrel{\textit{length}}{15}\implies \cfrac{49}{2}\cdot 15\implies 367.5~ft^3$

4 0

3 years ago

Read 2 more answers