What is a polygon called if each interior angle equals 120°?

Answers

Answer 1

Answer:

$\underset{in~degrees}{\textit{Sum of All Interior Angles}}\n\n n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\n \theta = \stackrel{degrees}{angle}\n[-0.5em] \hrulefill\n \theta =120 \end{cases}\implies n120=180(n-2) \n\n\n 120n=180n-360\implies 0=60n-360\implies 360=60n \n\n\n \cfrac{360}{60}=n\implies 6=n\impliedby \textit{\LARGE Hexagon}$

Answer 2

Answer:

A regular polygon whose each interior angle equals 120° is called a Hexagon.

We know that if the interior angles of a polygon are equal, then the polygon is a regular polygon.

Also, by formula,

The sum of the interior angles of a regular polygon = (n - 2) × 180° where n = number of sides

And the interior angle of the polygon is given = 120°

So, the number of sides of the given regular polygon =

⇒ n = [(n - 2) × 180°] ÷ 120°

⇒ 120n = (n - 2) × 180°

⇒ 120n = 180n - 360°

⇒ 180n - 120n = 360°

⇒ 60n = 360°

⇒ n = 6

The number of sides of the regular polygon is 6 which means that the regular polygon is a Hexagon.

To know more about Polygons:

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What is 6000 as a percentage

Answers

that doesn't make sense. but 6000/100 = 60%

Mr.Jenkins wants to distribute 40 fliers. He distributed 30 fliers so far. What percent of the total number of fliers has Mr. Jenkins distributedÉ

Answers

$(30)/(40)= (3)/(4) \n\n (3)/(4) = (x)/(100) \n\n4*25=100\n3*25=75\n\n(75)/(100)\n\n75\%$

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Is every multiple of 5 a composite number

Answers

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lee drove 420 miles and used 15 gallons of gasoline how many miles did lees car travel per gallon of gasoline

Answers

Lee travels 38 miles per gallon of the gasoline.

Lee drove 420 miles and consumed 15 gallons of gasoline.
Miles per gasoline to determine travel by lee.

What is average?

Average of the numbers is to sum of the number per unit total number.

Here, 420 miles = 15 gallon of gasoline
divide by 15 both sides
420/15 miles = 15/15 gallon of gasoline
38 miles = 1 gallon of gasoline

Thus, lee travels 38 miles per gallon of the gasoline.

Learn more about average here:

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$420\ mile\ per\ 15\ gallons\nx\ miles\ per\ 1\ gallon\n\ncross\ multiplication\n\n420=15x\ \ \ | divide\ by\ 15\n\nx=28\n\nLee\ can\ drove\ 28\ miles.$

The prism has a volume of 60 in3. What would the volume of the prism be if each dimension were tripled?(The shape is a rectangular prism, if that helps)

Answers

First, let's make a possible dimension of the prism.
We have to divide 60 by a number so when you multiply those three numbers it equals 60. We can try multiplying 5 by 4 by 3 and it gets us 60. This is one possibility.
So now we triple the sides.
Triple is to make three times as much (multiply by three)
5*3=15
3*3=9
4*3=12
Now lets find the volume
Volume= l*w*h
Volume= 15*9*12=1,620
I think this would work for any dimension you choose.
The volume of the prism will be 1,620 in3 if the dimensions were tripled.
(Sorry, this took me long time to type.)

Answer:

Step-by-step explanation:

How many times as great as the value of 3 in 4,385 is the value of 3 in 3,899