how many sides does a regular polygon have if the measure of an interior angle is 160 degrees? justify ur answer EXPLAIN HOW PLSSS

Answers

Answer 1

Step-by-step explanation:

Size of Interior angle = 180° - 360°/n, where n is the number of sides of the regular polygon.

We have 180° - 360°/n = 160°.

=> 360°/n = 20°, n = 18.

Therefore it is a 18-sided regular polygon.


Related Questions

I have 3 green cubes, 4 red cubes, 2 black cubes, and 6 yellow cubes. What is the probability that I will randomly choose a black cube, put it back then randomly choose a yellow cube

Answers

Answer:

4/75 or 0.05333

Step-by-step explanation:

3+4+2+6=15 elements

2/15= probability to choose a black

6/15 = probability to choose a yellow cube

Probability to choose a black AND (*) a yellow = 2/15*6/15=12/225=4/75 or 0.05333

plz help me i beg of you?

Answers

Answer:

it will take her 6/8 days

Step-by-step explanation:

just subtract 1/8 from 7/8

Answer:

6/8  (3/4 in simplest form)

Step-by-step explanation:

have a good day :)

If the area of a rectangular park is 350sq. m and its length is 70m, form the algebraic expression to find its breadth
With full solution​

Answers

Answer:

350 m² = 70 m × breadth

Step-by-step explanation:

This will be 5m = breadth

1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of varnish what quantity of mineral spirits will i need in ml ? 3-Robison's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' heights to width using whole numbers. Give the answer in ration.

Answers

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, [tex]\frac{spirit}{varnish}=\frac{25}{75}[/tex]

                  [tex]=\frac{1}{3}[/tex]

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let [tex]x[/tex] be the quantity of total solution.

Then, [tex]240:x=3:4[/tex].

⇒[tex]\frac{240}{x}=\frac{3}{4}[/tex]

⇒[tex]3x=240*4[/tex]

⇒[tex]x=\frac{240*4}{3}[/tex]

⇒[tex]x=320[/tex]

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒[tex]\frac{Height}{Width} =\frac{15}{10}[/tex]

⇒[tex]\frac{Height}{Width} =\frac{3}{2}[/tex]

Hence, the ratio of tapestries' heights to width is 3:2.

One Solution, Infinite Solutions, No Solution are the three options for both graphs

Answers

Answer:

The first one is infinite and the second one is one solution

A set of data is summarized by the stem and leaf plot below.

Stem Leaf
1 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9
2 0 0 0 3 3 4 5 8 8
3 0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9
4 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9


The value 52 appears _________time(s) in the data set. The value 47 _________appears time(s) in the data set.

Answers

Answer:

0 ; 1

Step-by-step explanation:

Given the dataset :

Stem _____ Leaf

1 _______ 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9

2 _______0 0 0 3 3 4 5 8 8

3 _______0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9

4 _______ 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9

The value 52 appears 0 times in the dataset

This is because the stem does not contain the digit 5.

The value 47 appears 1 time(s) in the data set ; stem of 4, leaf 7

Given that f(x) = x²-1,
a) Find f(5)
b) Find f-'(x)
c) Find f-'(8)

Answers

Answer:

step by step as shown

Step-by-step explanation:

f(x) = x²-1

f(5) = 5² - 1 = 24

f⁻¹(x)

y = x²-1

x = y² - 1    swap x and y

y² = x+1   ... x+1 ≥ 0      x≥-1

y = √x+1

f⁻¹(x) = √x+1

f⁻¹(8) =√8+1 = √9 = 3

pls pls help !!!!! quick! pls!

Answers

Answer:

25.2

Step-by-step explanation:

Answer:

25.2

Step-by-step explanation:

4.8 x 6.3 is the smaller one and you want 4x the size of the same rectangle

so you are just multiplying each number by 4

4.8 x 4 =   19.2

6.3 x 4 =   25.2

can you help me please I don't understand. ​

Answers

B. A and b parrel never touch

C. 44

D.136

E.44

Hope this helps a little

Write the equation of a line that has a slope that is greater than 1 but
less than 2

Answers

Answer:

y=3/2x

Step-by-step explanation:

Just find a fraction that is greater than one, but less than two and plug it in right next to x. I chose 3/2, but you can choose anything else if you like.

The equation of a line that has a slope that is greater than 1

but less than 2 in slope-intercept form is y = (3/2)x + b.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.∴

Given a line has a slope of greater than 1 and less than two,

∴ We can take any value from 1.01 to 1.99, for our convenience let us take 1.5which is 3/2.

So, the equation of the line will be y = (3/2)x + b.

learn more about lines here :

https://brainly.com/question/14511992

#SPJ5

Please help me answer this :)
Explain your answer

Will give brainiest

Answers

Answer:

A AAAAAAA

Step-by-step explanation:

W + 7 < 4 you don’t have to show work

Answers

W < -3
Subtract 7 from both sides

Write the point-slope form of the equation of the line through the given point with the given
slope.
through: (4.-3), slope = -2

Answers

Answer:

y+3 = -2(x-4)

Step-by-step explanation:

The point slope form of a line is

(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y- -3 = -2 (x-4)

y+3 = -2(x-4)

FREE BRAINLIEST
Write an equation of the line with the given conditions.
(-1,6),(2,4)

Answers

Answer:

y = -2x/3 + 16/3

Step-by-step explanation:

y = -2x/3 +16/3 is the correct answer

Can you simplify this?

Answers

Answer:yes

Step-by-step explanation:

The price of a telephone is 200$ in shop A and 240$ in shop B. If you get 15% discount
shop B, where would you buy the telephone (both shops are next to each other

Answers

Answer: Shop A

15% of 240 is 36 and 240-36 is 204 so shop B is more expensive.

The price of a telephone at shop A is less than the price of a telephone at shop B. Then the telephone is bought from shop A.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The price of a telephone is $200 in shop A and $240 in shop B. If you get a 15% discount shop B.

The price of the telephone after the discount at shop B will be given as,

⇒ (1 - 0.15) x $240

⇒ 0.85 x $240

⇒ $204

The price of a telephone at shop A is less than the price of a telephone at shop B. Then the telephone is bought from shop A.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

-8 - 1 = ?

Please show work for credit/ brainliest

Answers

Answer: The answer is -9

Step-by-step explanation:-8 - 1 = -9

It’s simple ! -8 and your getting smaller ( -1) = -9

X=1.56 cm

X=1.44cm

X=2.25cm

X=0.64

Answers

Answer:

x= 1.44

Step-by-step explanation:

I divided 1.2 cm by 0.96 to find the factor, which give me 1.25.

So I did 1.8 cm divided by 1.25 which give me the answer above.

Hope that helps.  

7. At an online retailer, the price of the camera is discounted 15% to $212.50. What was the
price of the camera before the discount?

Answers

Answer:

$250

Step-by-step explanation:

discounting 15 percent is the same as marking something for 85 percent. This is the same as multiplying by .85

set up equation and solve

.85x=212.50

x=250


Which equation represents a line which is parallel to the line y = -3x – 1 ?

Answers

Answer:3x+y=-8

Step-by-step explanation: If you were to solve each equation by graph the slope would be negative 3

Jared is rounding some numbers to the nearest tenth. Select the number that will have a 3 in the tenths place after rounding. (2 points)
3.03
4.28
5.39
6.43

Answers

Answer: B) 4.28

The 2 is in the tenths place, and 8 is to the right of it. The 8 is five or larger, so that means we bump the 2 up to 3. We erase the 8. So we go from 4.28 to 4.3; we have a 3 in the tenths place as instructed.

We can think of 4.3 as 4.30

Note how 4.28 is closer to 4.30, than it is to 4.20

Side notes:

Choice A rounds to 3.0 or just 3Choice C rounds to 5.4Choice D rounds to 6.4

Which polynomial function could be represented by the graph below? Help please

Answers

Answer:

[tex]f(x)=2x^2+2x-4[/tex]

Step-by-step explanation:

PLEASE HELP ASAP!! WILL GIVE BRAINLEIST!!
Jayden wants to buy cookies for his friends. The radius of a cookie is 5 inches. What is the cookie's circumference?
Answers:
A: 10 in
B: 15.7 in
C: 2.5 in
D: 31.4 in

Answers

Answer:

The answer is B lol

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

radius is half the diameter

to find out the circumference, you do diameter times pi.

if radius is 5, the diameter is 10.

10 inches is the answer.

A

Question 6 (1 point) Express the complex number in trigonometric form. Question 6 options: 7(sin 60° + i cos 60°) 7(cos 60° + i sin 60°) 7(cos 30° + i sin 30°) 7(cos 60° + sin 60°)

Answers

60 is the answer. :]

Can I have help please I don’t know how to do this

Answers

Answer: i think it may be a

Step-by-step explanation:

A garden table and a bench cost 821 combined.The garden table costs 79 less than the bench. What is the cost of the bench?

Answers

The garden table cost $742

please help me
thank ​

Answers

The answer to this question is B and D

Answer:

D will round to 18.96

Step-by-step explanation:

18.958, 5+ will get rounded higher so it turns to 18.96, hope this helps you!

17 Number of CD. Produced 100 3000 Number of CDs EXO HORO 1 M Nonth November Sentember July h The scatter plot shows the number of CDs that Disc-O CD factory produced in different months. What is the best prediction for the month in which they will produce 5,500 CDs? (1 Point) November September​

Answers

Answer:

july

Step-by-step explanation:

id say its july but i cant see all the options so im not sure thats one of them!

4 x 6 + 29 divided by 5 - 4

Answers

Answer:

25.8

Step-by-step explanation:

pls mark this as brainliest! thx hope this helped. :)

Answer:

The answer would be 25.8 or you can do 258

Step-by-step explanation:

During one​ year, a family made 3 trips to the museum. The distance from their house to the museum is 47 miles. How many miles did the family drive in 3

Answers

Answer:

282 miles

Step-by-step explanation:

47 x 6 = 282

Answer:

282 miles

Step-by-step explanation:

When the family goes to the museum, its 47 miles. When they come back, its another 47 miles. They did that three times, so multiply by 6.

46 x 6 = 282 miles.

Divide by two if you need just the one-way trip.

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