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aniked [119]
3 years ago
14

What is the sum of the interior angles of the polygon shown below?

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Given:

The number of sides of given polygon = 4

To find the sum of the interior angles of the polygon.

Formula

The sum of interior angles of any polygon is

Sum = (n-2)(180^\circ)

where, n be the number of sides of the polygon.

Now,

Taking n = 4 we get,

Sum = (4-2)(180^\circ)

or, Sum = 2(180^\circ)

or, Sum = 360^\circ

Hence,

The  sum of the interior angles of the polygon is 360°.

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Which of the following is a dilation?
Mademuasel [1]
It’s the second option, (x,y) —> (3x,3y) since you have to multiply each coordinate by a certain number called the scale factor (in this case, it’s 3)

The first option won’t work because the scale factor has to be same for both coordinates. The third option is a translation, and the fourth won’t work either because you have to multiply each coordinate by the same variable.
3 0
3 years ago
An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much
LiRa [457]

Answer:

V=45396.2\ cm^3

Step-by-step explanation:

Given that,

The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.

The tank is filled to 80% capacity with water.

We need to find the water needed for this tank.

The volume of cuboid is given by :

V=lbh

As it is filled to 80% capacity, so,

V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3

So, 45396.2\ cm^3 of water is needed for this tank.

5 0
2 years ago
Use the estimates to help you choose each correct answer. 14.8(20.7) = Estimate: 15(20) = 300 1.1(9.8) = Estimate: 1(10) = 10 72
lara31 [8.8K]

Answer:

1st 306.36 2nd 10.78 3rd 355.25

Step-by-step explanation:

bc i just skipped and it showed me the answers

6 0
4 years ago
Read 2 more answers
Libbie can buy a package of 50 disks for $14.50. What would be the cost of one disks
Flauer [41]

Answer:

0.29

Step-by-step explanation:

14.50 \div 50 =0.29

7 0
3 years ago
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If the area of a triangular kite is 6 square feet and its base is 4 feet, find the height
KonstantinChe [14]
The height of the kite is 3 feet. Here’s
why;
We know that BH=2A (base times height is equal to 2 times the area) of any given triangle.
Lets plug in values;
BH=2A
4(H)=2(6)
Then simplify;
4(H)=12
Flip the equation to find the missing value;
12 divided by 4 is 3.
Check your work;
4(3)=6(2):
12=12
The height of the kite is 3 feet.
4 0
3 years ago
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