In a regular polygon each interior angle is 120 greater than each exterior angle. Calculate the number of sides of the polygon.

Answers

Answer 1

Answer:

12 sides.

Step-by-step explanation:

the sum of every pair of interior and exterior angle is always 180 degrees.

x = exterior angle.

the interior angle is then x+120.

so then exterior and interior angle together must be 180.

x + x + 120 = 180

2x + 120 = 180

2x = 60

x = 30 degrees

how many sides ?

the sum of all exterior angles must be 360 degrees.

all exterior angles are the same (because all the interior angles must be the same due to "regular polygon").

so, how many times does 30 fit into 360 ?

360/30 = 36/3 = 12

it has 12 corners and also sides.


Related Questions

Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18

Answers

Answer:

Step-by-step explanation:

Simplifying

2y + -3x = 18

Reorder the terms:

-3x + 2y = 18

Solving

-3x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

-3x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

-3x + 0 = 18 + -2y

-3x = 18 + -2y

Divide each side by '-3'.

x = -6 + 0.6666666667y

Simplifying

x = -6 + 0.6666666667y

Share £35 in the ratio 4:1​

Answers

Answer:

£28 : £7

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 = 5 parts

Divide the quantity by 5 to find the value of one part of the ratio

£35 ÷ 5 = £7 , then

4 parts = 4 × £7 = £28

£35 = £28 : £7 in the ratio 4 : 1

What is the area of the triangle in centimeters
squared?

Answers

Answer:

A = 112cm²

Step-by-step explanation:

Area of a triangle = (bh) / 2

b = base length and h  = height

The triangle shown has a given base length of 14cm and a given height of 16cm

Hence area = ( 16 * 14 ) / 2

16 * 14 = 224

224 / 2 = 112

A = 112cm²

the circle below is centered at (10, 4) and has a radius of 4. what is its equation?​

Answers

Answer:

The equation of the circle is

Formula :

(x- h ) ² + (y-k )² = r²

or, x²-20x +100 + y² -8y + 16 = 16

or, x² + y² -20x -8y + 100 = 0 is the required equation

solve the proportion x-4/6=x/8

Answers

8(x-4)=6x
8x-32=6x
-32=-2x
-32/-2=x
x=16

Hope this helps!! Mark as brainliest

The solution to the proportion is x = 16.

We have,

To solve the proportion (x - 4)/6 = x/8, cross-multiply and then solve for x.

Cross-multiplying gives:

8(x - 4) = 6x

Now, distribute the 8 on the left side:

8x - 32 = 6x

Next, isolate the x term by subtracting 6x from both sides:

8x - 6x - 32 = 6x - 6x

2x - 32 = 0

Finally, add 32 to both sides to solve for x:

2x - 32 + 32 = 0 + 32

2x = 32

Divide both sides by 2:

(2x)/2 = 32/2

x = 16

Therefore,

The solution to the proportion is x = 16.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Hyunjin has $26 and wants to buy 7 americanos for his group. Each americano costs $2.25.

How much money would he have left?

Answers

Answer:

10.25

Step-by-step explanation:

26-7(2.25)=10.25

Answer:

$10.25 would be left over

Step-by-step explanation:

Hyunjin spends 7($2.25), or $15.75, for those 7 americanos.

To find out how much money he'd have left, we subtract this $15.75 from his $26, obtaining $10.25.

what is the mean and median of 4,9,26,20,23,0,37??

Answers

Answer:

the median is 20 and the mean is 17

Step-by-step explanation:

PLEASE HELP BRO IM LOSING MY MIND (if u could explain how with the answer THATD be sick)

Answers

Answer:

y = (x+3)(x+2)(x+1)

Step-by-step explanation:

so how to determine that...

1) it has to be a third order equation (x^3) since it changes direction two times

2) it crosses the x axis at -1,-2,-3 so (x-1),(x-2),and (x-3) are factors

can someone please help PLEASE ​

Answers

U: -2,-2
B: -5, 0
K: -5, -3
Y: -4, -3

I believe so..

We have 2 fractions 2/5 and 3/10, and we want to rewrite them so that they have a common denominator (and whole number numerators).

Answers

Answer:

2/5=4/10    3/10

Step-by-step explanation:

2x2

5x2

Answer:

4/10 and 3/10

Step-by-step explanation:

The common denominator for 5 and 10 is 10

2/5 *2/2 = 4/10

2/5 and 3/10 with common denominators are

4/10 and 3/10

The histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. Which statements are true about the data used to create the histogram? Select three options.

Answers

Question options:

A. The mean is the best comparison of the measures of center.

B. The juniors tended to have higher essay scores than the sophomores.

C. The medians of both data sets are equal.

D. The interquartile range is the best comparison of the measure of variability.

E. A histogram is the best way to show that both distributions are nearly symmetric.

Answer:

B. The juniors tended to have higher essay scores than the sophomores.

C. The medians of both data sets are equal.

E. A histogram is the best way to show that both distributions are nearly symmetric.

Explanation:

A histogram is used to represent data in a bar graph like manner. In a histogram, the bars lie along the x axis, each within the range of intervals while the y axis is used to count the frequency of occurrence that determines the area of each bar in the graph. Using a histogram, we can find B, C, and E from the options given above.

find the perimeter, halla el perimetro

Answers

Answer:

28 cm

Step-by-step explanation:

The perimeter (P) is the sum of the sides

P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )

   = 8 + 6 + 8 + 6

   = 28 cm

what is the equation of a line that is perpendicular to y=1/2x+1 and passes through the point of (8,0)?​

Answers

Answer:

D. y= -2x+16

Step-by-step explanation:

the slope = -1÷½ = -2

the equation :

y-0= -2(x-8)

y = -2x+16

(10 x 10^-3) - (2 x 10^-6)

Simplify the problem and express the answer in scientific notation. Show your work.
Please help!!!

Answers

Answer:

9.998 x [tex]10^{-3}[/tex]

Step-by-step explanation:

ANSWER:

9998 x 10^-6

[tex]{{hope it helps}}}[/tex]

Which sequence is geometric?

Answers

Answer:

4th option

Step-by-step explanation:

in geometric sequences the number is multiplied or divided by same number continuously

in the 4th option we can see that the number 1 is multiplied by 4 continuously so the correct answer would be that.

Susie leaves to go shopping driving 45 miles per hour toward the Happy Shopper Grocery Store. Susie is originally 20 miles due west of the store. Sammie leaves for the Happy Shopper Grocery Store at the same time driving 50 miles per hour on the same road but she is 25 miles due East

If they keep driving and do not stop at the store, how long (in hours) will it take for them to pass on the road? Where relative to the store is this (please state a distance and whether they are East or West of the store). Round the time (in hours) to the nearest thousandth and the distance to the nearest tenth if needed.

Answers

Answer:

Step-by-step explanation:

when they meet, time taken are same.

total distance they travel=20+25=45mile

total speed=45+50=95mile/hour

time=45/95=0.474hour

0.47*45=21.4mile>20mile so they meet at east of store.

The question is in the screenshot

Answers

Correct probability : 3/7

To find the correct probability, Noura needs to count ALL of the times she tossed the coin. To find that we just add 15 + 20, which equals 35.

Then to calculate the probability she will get heads is out the number of heads landed over the amount of times the coin was flipped.

15/35

We then simplify this fraction by dividing the top and bottom both by 5.

This leaves us with the answer of 3/7.

A model of a car is 24 in. long. The actual car is 16 ft long. What is the ratio
of the length of the model to the length of the car?

Answers

1 foot = 12 inches.

The model of the car is 24/12 = 2 feet long.

The ratio would be 2 ft/ 16 ft which can be reduced to 1/8

Answer 1/8

16in : 24ft = 16in : 288in = 1:18

18. Given that g(x) = -(x^2)/4, what is the value of g(+8) ?
F. -16
G. 4
H. -1
J. 4
K. 16

Answers

Answer:

F. -16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle g(x) = -\frac{x^2}{4}[/tex]

Step 2: Evaluate

Substitute in x [Function g(x)]:                                                                         [tex]\displaystyle g(-8) = -\frac{(-8)^2}{4}[/tex]Exponents:                                                                                                        [tex]\displaystyle g(-8) = -\frac{64}{4}[/tex]Divide:                                                                                                               [tex]\displaystyle g(-8) = -16[/tex]

please help me :)))))))))))))))))

Answers

Answer:

A

Step-by-step explanation:

third angle=180-(35+73)=180-108=72°

What is another word for zeros?​

Answers

Answer:

nothing

Step-by-step explanation:

Zero is a number without a value so nothing could be another word for it

Another word for zeros is null

Help me!
Find the area of figure.​

Answers

Answer:

9 cm²

Step-by-step explanation:

the area = ½× 3√2 × 3√2 = ½×18 = 9

Find the area of the shape.
17 m
4 m
7 m
9 m
What is the area

Answers

Step-by-step explanation:

Area squares the unit of length. in this case, none of these are area

(By the way is this question tagged with a picture)

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
O A. 2x-3
O B. 4x+1
ОС. 3х – 3
O D. 2x-1

Answers

Answer:

.➌×-➌

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

By definition, (f+g)(x) = f(x) + g(x)

So, (f+g)(x) = 3x - 1 + x + 2

= 4x + 1

Find the missing angle

Answers

Answer:

25

Step-by-step explanation:

[tex]x = 90 - 65 = 25 degrees[/tex]

The two outside lines form a right angle ( represented by the square). A right angle is 90 degrees.

Subtract the known angle from 90.

X= 90-65 =25

X = 25 degrees

I need help fast in these questions.

Answers

Answer:

all...

Step-by-step explanation:

What would be a sound, simple, straightforward way to describe IQR (Interquartile range)

Answers

Answer:

IQR: is the length of the middle 50% of that interval of space

Step-by-step explanation:

In order to find IQR, subtract the third interquartile range - the first interquartile range

Choose the function that is a "parent function". O f(x) = x=3 o f(x) = (x - 3)2 O o f(x)= X O f() = x-31​

Answers

Answer:

option D is the correct answer I think so

How much more would 72,300 be from 63,100?

Answers

Answer:

9,200

Step-by-step explanation:

72,300 - 63,100 = 9,200

PLEASE HELP! What is the number ( code ) ?

Answers

Answer:

The number code is: 12.95

Step-by-step explanation:

98.86 + 74.57 = 173.43

345.32 - 19.78 = 325.54

0.79 x 0.86 = 0.6794

5733.75 + 75 = 5,808.75

So, if you put the numbers together you will get -

12.95

Hope this helps!

Good Luck!

:)

If you can, please mark me brainiest

12.95
explanation
i’ve don’t this before
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