In a regular polygon each interior angle is 140° greater than each exterior angle. Calculate the number of sides of the polygon​

Answers

Answer 1

Answer:

18 sides.

Step-by-step explanation:

The interior and exterior angles sum to 180 so:

       I + E = 180

also  I - E = 140       (given)

So, adding to eliminate E:

      2I = 320

I = 160 degrees and the external angle E = 1809 - 160 = 20 degrees.

Since the sum of all exterior angles in a polygon = 360 degrees

- the number of sides = 360 / 20 = 18.


Related Questions

Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7

Answers

Answer:

The equation for this slope will be y=7x-5

Step-by-step explanation:

Hope this helped

Explain, in writing, the steps in graphing and finding the solution to the system of equations.
y = x + 2
y=-x-2

Answers

Answer:

Feel free to copy and paste:

Use the slope-intercept form to find the slope and y-intercept. To do this, use y=mx+b. Plug the variables where m=1 and b=2. Slope of the line is m and y-intercept is value of b, so the slope is 1 while the y-intercept is (0,2). Any line can be graphed using two points, and using two x values to plug them into the equation to find the corresponding y values: 0=x+2 is (-2,0). Y-intercept is already known, so use the known values and make a table where x= -2,0 and y = 0,2. Now, graph the line using the slope, y-intercept, and known points (-2,0), (0,-2) to plot the graph. Coincidingly, the answer to solve your system of equations will be the x-intercept: (-2,0).


Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?

Answers

Answer:

$1.98

Step-by-step explanation:

$33.00 x 0.06 = $1.98

Patrick drank 3/4 liter of water Monday before jogging. He drank 4/5 liter of water after his jog. How much water did Patrick drink altogether? (Write fraction answers as a mixed number like this 2 1/2) He drank _____ liters. *

Answers

Answer: 1¹¹/₂₀ litres

Step-by-step explanation:

The fractions need to be added.

Find a common multiple for them.

Common multiple = 20

Divide the multiple by the denominator of the fraction and multiply the numerator by the result you get:

[tex]= \frac{15 + 16}{20} \\\\= \frac{31}{20} \\\\= 1\frac{11}{20}[/tex]

= 1¹¹/₂₀ litres

In a cookie recipe, for every 2 cups of sugar there are 3 cups of flour. How many cups of flour would you need for 6 cups of sugar?

Answers

9 cups of flower is the answer

A rectangle has four sides. Fill in the blanks in the double number-line below.
rectangles
1
2
3
4
8
12
28
sides





Plz help

Answers

Box 1: 6 Box 2: 16 Box 3: 20 Box 4: 24

This right rectangular prism is filled with -foot unit cubes.
What are the actual dimensions of the prism?
How many unit cubes are in this prism?
What is the total volume of the prism, in cubic feet?

Answers

Answer:

can you use photo math yes or no?

a) The regular price of a T-shirt is $18. What is the discounted price?

b) If the regular price of an item is x dollars, what is the discount price in dollars?

c) The discounted price of a hat is $18. What is the regular (original) price?

help fast!!!​

Answers

Answer:

B

Step-by-step explanati

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.   so whats left.... B

Answer:

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.

Step-by-step explanation:

When solving systems of equations with the elimination
method or the substitution method, how do you determine if
you have one solution, no solutions or infinite solutions?

Answers

Step-by step explanation:

That's a great question. Look for things such as these:

x=x (infinite solution)

x=12 (one solution)

x+3 = x + 5 (no solutions)

https://youtu.be/bq5gDsEdN3Q this video has more information, copy and paste the link into your search engine.

Simplify the expression for the area

Answers

Answer:

UHHHHHHHHHHHHH

Step-by-step explanation:

John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation

Answers

Answer:

can some one give the answer

Step-by-step explanation:

pls

PLEASE HELP ME ON SOME OF THESE!!! I AM SO CONFUSED!!

Answers

Answer:

4) (2x)(2x)(0.5)=shaded area

5) (7x)(5x)-(3)(4)(0.5)=shaded area

6) (3x+3)(x+4)-(2x)(x+4)(0.5)=shaded area

7) (3x)(2x)-(2x)(x)(0.5)-(x)(x)(0.5)=shaded area

8) (6x)(4x)(0.5)+(10x)(4x)(0.5)=shaded area

9) (4x+2)(x+3)+(2x)(x+3)(0.5)=shaded area

Step-by-step explanation:

Need answers ASAP please and thank you

Answers

Answer:

option C

Step-by-step explanation:

Here, we want the first best step

looking at the expression, we can see that if we divided both sides by -2, we will have to answer a regular

Thus, by dividing both sides by -2, then we have the answer

prove 151^3-25^3 is divisible by 126

Answers

9514 1404 393

Answer:

  151 -25 = 126 is a factor of the difference of those cubes

Step-by-step explanation:

The expression can be factored as ...

  a^3 -b^3 = (a -b)(a^2 +ab +b^2)

  151^3 -25^3 = (151 -25)(151^2 +151·25 +25^2)

  = 126(151^2 +151·25 +25^2)

That is, 126 is a factor of the difference of the given cubes. The difference is divisible by 126.

__

Your calculator tells you 151^3 -25^3 = 126 · 27201.

2x+3y=-6
4x+6y=-12
6x + ay=-18

Answers

Answer: -18

Step-by-step explanation: I used a math problem calculator. : /

Maths people please write the answers !


Equations- Maths

Answers

Answer:

length = 20cm

breadth = 8cm

Step-by-step explanation:

solution;

length(l) = x + 12

breadth(b) = x

perimeter (p) = 56 cm

we know that,

perimeter(p) = 2(l + b)

or, 56 = 2(x + 12 + x)

or, 56 = 2(2x + 12)

or, 56 = 4x +24

or, 56 - 24 = 4x

or, 32 = 4x

or, 32 / 4 = x

x = 8

now

putting the value of x in length and breadth

length = x+ 12

=8 + 12

=20cm

breadth = 8cm

Answer:

Hope this helps!!!

Step-by-step explanation:

A: x=3

B: x=8

C: x=11

D: x=5

E: x=10

F: x=12

G: x= 10/3

H: x=6

I:  x=3.4

IM SCROLLING THROUGH ALL OF THESE FRANTIC PLEAS OF HELP YALL I DONT KNOW ETHER YOUR EQUATIONS ARE MAKING MY EYES WATER

Answers

Answer:

What?

Step-by-step explanation:

I don't understand what you're saying.

Stacey worked on her garden for 4 3/4 hours.

Answers

Answer:

Number one and number 3 i think

Step-by-step explanation:

ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =

Answers

Answer:

-38

Step-by-step explanation:

Solve the proportion: 5/3 = ?/4​

Answers

Answer:

20/3

Step-by-step explanation:

5/3=x/4

cross product

3*x=5*4

3x=20

x=20/3

Answer:

20/3 = ?

Step-by-step explanation:

5        ?

---- = ------

3        4

We can solve by cross products

5 * 4 = 3 * ?

20 = 3 ?

Divide each side by 3

20/3 = 3?/3

20/3 = ?

Which of the following expressions are equivalent to -6-(-2)
Pls I need help

Answers

Answer:

A) -6+2

Step-by-step explanation:

Answer is: A explanation:

A scatter plot is made to model the number of calories in different portions of fish sticks. The data used for the scatter plot are shown in the table:


Number of portions 5 3 8 6 1 4
Number of calories 250 150 400 300 50 200


What does the slope of the model represent?
The number of calories in each portion of fish sticks
The number of fish sticks in each portion
The original number of portions of fish sticks
The price of each portion of fish sticks

Answers

Solution: A scatter plot is made to model the number of calories in different portions of fish sticks. The data used for the scatter plot are shown in the table below:

Number of portions

5 3 8 6 1 4

Number of calories

250 150 400 300 50 200

What does the slope of the model represent?

Answer: The number of calories in each portion of fish sticks

Answer:

The number of calories in each portion of fish sticks

Step-by-step explanation:

Hope this helps! God bless :)

y=-2/3x-5 slope and y-intercept ​

Answers

Answer:

Slope = 2/3

Y-intercept = -5

Step-by-step explanation:

Since the equation is written in y = mx + b format. The m is the slope and b is the y-intercept. In place of m is 2/3 and in place of b is -5. Therefore, the slope is 2/3 and the y-intercept is -5.

hope this helps!

Maybe brainliest?

The equation of line is y = ( -2/3 )x - 5 , where the slope is m = -2/3 and the y intercept is b = -5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( -2/3 )x - 5

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = ( -2/3 )

The y-intercept b = -5

Hence , the equation of line is y = ( -2/3 )x - 5

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Mary worked 2 3/4 hours on Monday and 1 1/2 hours on Tuesday. How many hours did she work in all on Monday and Tuesday?

Answers

4 and 1/4

Step-by-step explanation:

okay uh you turn the half into 2 fourths and add to get 3 5/4 then simplify and get 4 1/4

A recipe for 24 cookies calls for 6 tablespoons of sugar. If you make 36 cookies and use 10 tablespoons, will the cookies taste the same? Explain and show your work for evidence.

Answers

Answer:

yes it will you are you're fine only multiplying how much is going into the cookie and not what you're putting into the cookie like you're not putting a different flavor into the cookie

HELP WITH THIS ITS URGET

Answers

Understandable going to ask for help rn

3. The average of two numbers is 55. If their positive difference is 64, then determine the two numbers algebraically.

Answers

Answer:

the numbers are 41 and 23

Step-by-step explanation:

Given data

let the numbers be x and y

x+y/2= 55

cross multiply

x+y= 110----------1

positive difference is 64

x-y= 64-----------2

solve 1 and 2

x+y= 110

x-y= 64

from 1

x= 110-y

put the value of x in 2

110-y-y=64

110-2y=64

110-64=2y

46=2y

y= 46/2

y=23

put y= 23 in 2

x-23= 64

x= 64-23

x=41

Will give Brainliest!!!
What is the y=mx+b of the equation 5x+2y=−8?

Answers

Answer:

y = - 5/2x - 4

Step-by-step explanation:

so yeah oofofofofof

HELP
What is the Constant of proportionality? I don't know if its 2 or 2.5 because 3 and 7 meet but so do 1 and 2

Answers

I would say 2.5 because if the constant of proportionality was 2 the 4 and 2 also meet. Also at the end the 10 and 4 meet and 10 divided by 4 is 2.5

A cleaning product sells for $0.75 a quart. Which equation can be used to solve for the total cost, C , of five gallons of the product? A: C = $0.75 × 4 + 5 B: C = 5 × ($0.75 × 4) C: C = ($0.75 + 4) × 5 D: C = ($0.75 × 5) + 4

Answers

Answer: b. C = 5 × ($0.75 × 4)

Step-by-step explanation:

Note that 4 quarts = 1 gallon

Therefore, if a cleaning product sells for $0.75 a quart, the equation can be used to solve for the total cost, C , of five gallons of the product will be:

= 5 × ($0.75 × 4)

= 5 × $3

= $15

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