the sum of the interior angles of a polygon is 1980°.how many sides has the polygon​

Answers

Answer 1

Answer:

sum of interior angle of polygon = (2N-4) X 90 where N =number of sides

so (2N-4)x90=1980

therefore N=13.

therefore polygon has 13 sides

Answer 2

Answer:

To know how many sides has this polygon, knowing the sum of their interior angles, we can use this expression:

b = (n-2) * 180

Where b is the sum of the interior numbers and n the number of sides.

Knowing this, we can replace, as we kno w it

b = (n-2)) * 180

1980 = (n-2)*180

We can know solve the equation

We can use this distributive property to operate the parenthesis, which says that if we find this expression a(b+c), we can operate doing ab+ac, and, if we substract, we can also use it, as a(b-c) = ab-ac

1980 = (n-2)*180

1980 = 180n - 180*2 = 180n - 360

1980 = 180n - 360

1980 + 360 = 180n

[tex]\frac{1980+360}{180} = n.[/tex]

13 = n

So we know the polygon will have 13 sides..


Related Questions

A fireplace burn 6 same-sized logs in 3 hours. How many logs does the fireplace burn in 9 hours?

Answers

Answer:

18 logs

Step-by-step explanation:

because 9 is three times 3, just multiply the 6  by three as well.

work out the coordinates of c
the answer

Answers

Answer:

y = 30- 2 = 28

28/4=7

So 7 per side of the square. x would then be 27-7-7= 13 counting from the top

y would be 2+7+7=16

(13,16)

if a watch loses 30 seconds every 1 hour .if the watch was set right on sunday at 11:30pm what time did it show after 10hrs

Answers

Answer:

9:25

Step-by-step explanation:

Answer:

9:25 am

Step-by-step explanation:

losing 30 seconds every hour would be the same as losing one minute every 2 hours

since there are 5 2-hour intervals in 10 hours, the time if off by 5 minutes

instead of 9:30am it is 9:25 am

Plsss helpp me Achiedle is cut from a square piece of cloth, as shown:
How many square inches of cloth are cut from the square? (n = 3.14)

Answers

Answer:

B

Step-by-step explanation:

I think the answer is B but I could be wrong! I'm 98% confident in my answer though!

I think the answer is B

I need help with it i don’t know how to do it

Answers

Answer:

What do you mean? Like you need to specify your question...

Step-by-step explanation:

what do you mean by that?

Solve x2 - 13x + 30 = 0

Answers

Answer:

or, x2-(2-15)x +30= 0

or, x2-2x-15x + 30= 0

or,x(x-2)-15(x-2)=0

or, (x-2) (x-15)=0

either, or,

x-2=0 x-15=0

Answer:

x2-(10+3)x+30=0

x2-10x-3x+30=0

x(x-10)-3(x-10)=0

(x-10)(x-3)=0

either, or,

x-10=0 x-3=0

x=10 x=3

therefore,x=10,3

jOE TRAVEL TO SCHOOL ON A BUS. ON ANY DAY THE PROBABILITY THAT HE MISSES THE BUS IS 1/3. WHAT IS THE PROBABILITY THAT HE WILL MISS THE BUS ON TWO CONSECUTIVE DAYS AND THE PROBABILITY THAT HE WILL MISS THE BUS ON ONE DAY OUT OF TWO CONSECUTIVE DAYS

Answers

Answer:

1/6 of 2 dayas an 1/3 on 1 day

Step-by-step explanation:

Joshua is driving to visit his friend who lives 165 miles away. He has driven 25 miles, and now he hopes to drive 40 miles per hour the rest of the way. How many more hours will it take Joshua to reach his friends house​

Answers

Answer: akcbebvu9pewgrvw8ugvubeufhfhef89h8efhw9a9s

Answer:

top one is correct yessss

A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.

6 percent of 38 0.6 times 38 = 22.8

Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.

Answers

Answer: Than did not use 0.06 for 6 percent.

Step-by-step explanation:

From the question, we are informed that Than computed 6 percent of 38 as 6 percent of 38 = 0.6 times 38 = 22.8.

His above solution is wrong. We should note that:

6% × 38

= 6/100 × 38.

= 0.06 × 38

= 2.28

The mistake that he made was that Than did not use 0.06 for 6 percent.

Answer:

b

Step-by-step explanation:

edge

Which is a complete list of factors of each term in the expression 16 a + 18 a b?
16a: 1, 2, 4, 8, 16
18ab: 1, 2, 3, 6, 9, 18
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, b
16a: 2, 4, 8, a
18ab: 2, 3, 6, 9, a, b
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, a, b

Answers

Answer:

d

Step-by-step explanation:

Answer:

the answer is d.

Step-by-step explanation:

A proportional relationship between the number of pounds of pickling cucumbers (x) and the price in dollars (y) can be graphed, and the ordered pair (6, 4) would be on the graphed line.

Part A: What is the price of 1 pound of pickling cucumbers? Show your work. (8 points)
Part B: What does the ordered pair (12, 8) on the graph represent? Explain in words. (2 points)

Answers

Part A: What is the price of 1 pound of pickling cucumbers?

Answer: after surveying the selection, we discovered that 1 pound is equal to 6 to 7 pickling cucumbers that are 3 to 4 inches in length. We decided to use 1 pound of pickling cucumbers for ours calculation sample.

Part B: What does the ordered pair (12, 8) on the graph represent?

Answer: number are plotted on graph quadrants in what are known as ordered pair. An ordered pair consists of two values, x and y. In an ordered pair, x is always the first value and y is always the second value.

Step-by-step explanation: I think this is what you want, hope this help

Sam had 48 stickers to put on the walls in his bedroom. He divided the stickers
evenly among the 4 walls of his room. How many stickers did he put on each wall?
32
24
16
12

Answers

Answer:

48/4

12 he divided the stickers

evenly among the 4 walls of his room

Which method would you choose to solve the following system?
-5x + 2y = 15
y = - 3x - 20
Equal Values Method
O Substitution Method
O Graphing Method
Elimination Method

Answers

Answer: combining like terms

Step-by-step explanation:

find the inequalities represented by the graph?

Answers

Answer:

,

Step-by-step explanation:

,...

Put each line into slope-intercept form:
1. y=x + 3
2. 3x + 3y = -9

Can someone help me

Answers

Step-by-step explanation:

Slope-intercept form: y = mx + c

y = x + 3 is already in this form.

3x + 3y = -9,

3y = -3x - 9

y = -x - 3.

Pleaseeeee helppppp Asapppp!!!!!




What is the midline of this function ??

Answers

The midline is the line Y=0 .

(That's the x-axis.)

Find the derivative of a✓tan(5x-7)​

Answers

Answer:

[tex]\displaystyle y' = \frac{5a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹  

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

*Note:

Treat a as an arbitrary constant.

Step 1: Define

Identify

[tex]\displaystyle y = a\sqrt{\tan (5x - 7)}[/tex]

Step 2: Differentiate

Derivative Property [Multiplied Constant]:                                                   [tex]\displaystyle y' = a\frac{d}{dx} \Big( \sqrt{\tan (5x - 7)} \Big)[/tex]Basic Power Rule [Derivative Rule - Chain Rule]:                                       [tex]\displaystyle y' = \frac{a}{\sqrt{\tan (5x - 7)}} \cdot \frac{d}{dx}[\tan (5x - 7)][/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   [tex]\displaystyle y' = \frac{a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}} \cdot \frac{d}{dx}[5x - 7][/tex]Basic Power Rule [Derivative Properties]:                                                   [tex]\displaystyle y' = \frac{5a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Is this a parallelogram if so by which theorem

Answers

Answer:

Egghead

Step-by-step explanation:

yes it is (mark brainliest if correct pls)

and by the opposite sides being equal length meaning the lines can go forever and ever and never touch

Which graph represents the solution to the compound inequality?
-6<3x-12 s9
1 2
O
o3 6 9 12 15
O 30 369 12 15

Answers

Step-by-step explanation:

-6 < 3x - 12 <= 9

6 < 3x <= 21 (add 12)

2 < x <= 7 (divide by 3)

The graph that correct represents this solution set is the 2nd graph.

4 bells toll together at 9 am. They toll after 7, 8. 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?

Answers

Answer:

5 times

Step-by-step explanation:

What we need to do here is to find the lowest common multiple of 7,8,11 and 12

This is;

1848

Now, let’s calculate the number of seconds in 3 hours

In 1 hour, we have 3600 seconds

In 3 hours, this will be;

3600 * 3 = 10,800 seconds

So, to find the number of times in which all 4 will toll together, we need to know the number of 1848 seconds in 10,800 seconds

Mathematically, that will be;

10,800/1848 = 5.844

Our answer will be 5 times however

This is because the sixth time they would have sounded together would be more than the 3 hours time frame

do that for me and you get 12points

Answers

Answer:

25

Step-by-step explanation:

If 12x - 3 = 17 + 7x, find the value of x.

Answers

Answer:

value of x is 4

Step-by-step explanation:

12x-3=17+7x

12x-7x=17+3

5x=20

x=4

Answer:

4

Step-by-step explanation:

Given that:

12x - 3 = 17 + 7x

Collect like terms

12x - 7x = 17 + 3

5x = 20

Divide both sides by 5

5x / 5 = 20 / 5

x = 4

Hence, x = 4

In a bag of trail mix, the ratio of raisins to M & M's is 2,3. Which fraction represents the ratio of raisins to M & Ms.​

Answers

Answer:

...you may want to check my explanation...

Step-by-step explanation:

If the ratio of raisins to M&Ms in a bag of trail mix was 2:3, that means that there are 2 raisins for every 3 M&Ms. This means that in a bag of 100 items, there would be 40 raisins and 60 M&Ms. I'm not sure what the ratio would be as a fraction (maybe 2/3?), but I do know that the fraction for the number of raisins in the whole bag is 2/5 and the fraction for the number of M&Ms is 3/5.

Hope this helps!

(If the answer is even right, that is...)

Find the answer (5x) + (4x) + (6y)

Answers

Answer:

9 x  +  6 y

Step-by-step explanation:

whoever answers fastest, consider it a gift

Answers

Answer:

um ok

Step-by-step explanation:

I am gift? Whhsbdidnebebr

helppppo plss
zoom in on picture if u need but i need answer soon

Answers

Answer: third number line

Step-by-step explanation:

asap.?


anyone please

Answers

I think it’s -1/3 I might be wrong but it’s the best option
I calculated it and I got -1/3

Solve the system please

Answers

Answer:

(2,-1,1) I believe

A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, x. which equation best represents the total cost, y, of the backsplash?

Answers

Answer: y = 150 + 2.75x

Step-by-step explanation:

Since we are informed that the installation fee is $150.00 and that the tile is priced at $2.75 per square foot, x, the total cost, y, of the backsplash will be the addition of the fixed cost of $150.00 plus $2.75 multiplied by the number of square foot. This will be expressed as:

y = 150 + 2.75x

where,

x = number of square foot.


simplify fully please

Answers

Answer:

8x² + 8

Step-by-step explanation:

Given

(x² + 3)² - (x² - 1)² ← expand both factors using FOIL

= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1

= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms

= 8x² + 8

Answer:

-8(x^2 - 1)

Step-by-step explanation:

(x^2 + 3)^2  and  (x^2 - 1)^2 are both squares of binomials.  The first step here is to expand both:

-(x^2 + 3)^2  =  -x^4 - 6x^2 - 9

(x^2 - 1)^2     =  x^4 - 2x^2 + 1

Combine the two right-hand expressions, obtaining:

-8x^2 - 8 or -8(x^2 - 1)

This -8(x^2 - 1) is the simplest form of the given expression.

If desired, -8(x^2 - 1)  can be factored:   -8(x - 1)(x + 1)

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