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Anna [14]
3 years ago
6

Find the sun of the interior angles for each polygon

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0

Answer:

360

1080

Step-by-step explanation:

We can find the sum of the interior angles of any regular polygon by using this formula

(n - 2) * 180

where n = number of sides

For the square: the square has 4 sides

To find the sum of the interior angles we simply substitute 4 for n in the formula

Formula: (n - 2) * 180

Substitute 4 for n

(4 - 2 ) * 180

Subtract 4-2

2 * 180

Multiply

= 360

The sum of the interior angles of the first polygon is 360

For the second one:

We will repeat this exact process the only difference is the value of "n"

The polygon shown has 8 sides

So to find the sum of the interior angles we simply substitute 8 for n in The formula

Formula (n - 2) * 180

Substitute 8 for n

(8 - 2) * 180

Subtract 8 - 2

6 * 180

Multiply

= 1080

The interior angles of a 8 sided figure will add up to 1080

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What is m in 4/5m=2/9 is it 5/18
Romashka [77]
\frac{4}{5} m =  \frac{2}{9} \\ \\  \frac{4m}{5} =  \frac{2}{9} \\ \\ 4m =  \frac{2}{9} \times 5 \\ \\ 4m =  \frac{10}{9} \\ \\ m =  \frac{10}{9 \times 4} \\ \\ m =  \frac{10}{36} \\ \\ m =  \frac{5}{18} \\ \\

The final result is: m = 5/18 or 0.2778.
8 0
3 years ago
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3604 to rent
agasfer [191]

Answer: 14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

5 0
3 years ago
Read 2 more answers
If Sarah drink 2 cups of water and then drink one more how many cups of water did Sarah drink?
gayaneshka [121]

Answer:

A

Step-by-step explanation:

I think its self explanatory?

2+1=3 cups of water?

5 0
2 years ago
Read 2 more answers
O A PQR is reflected over the x-axis. What are the<br> coordinates of O'?
topjm [15]

Answer:

(8,-2)

Step-by-step explanation:

When reflecting something across the X axis the y axis coordinate is the one that will change to put the position further up or down.  In this case we are moving it down to the same amount below the axis that it is now above it.  That means that since it is currently 2 above the X axis it would then be 2 below the X axis making it at -2 so the coordinates would be (8,-2)

I hope this helps and please don't hesitate to ask if there is anything still unclear!

7 0
3 years ago
Read 2 more answers
Will Give Brainliest, Answer ASAP m∠O = <br> m∠N =
irina1246 [14]

Answer:

∠ O = 61°, ∠ N = 119°

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

x + 2x - 3 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61°

Thus

∠ O = ∠ M = x = 61°

∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°

6 0
3 years ago
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