If the sum of the measures of the interior angles of a polygon is 1980 degrees, how many sides does it have? I need an explanation to this!

Answers

Answer 1

Answer:

It has 13 sides.

Step-by-step explanation:

The equation for total interior angle is x = 180(n - 2)

fill it out and solve

1980 = 180(n - 2)

1980 = 180n - 360

2340 = 180n

n = 13


Related Questions

i keep getting 10.0 but its incorrect.. can someone help?

Answers

Answer:

C) 2.0 cm

Step-by-step explanation:

Area of a circle is [tex]\pi[/tex] x r²

[tex]\pi[/tex] x r² = 3.14    ----> r² = 1    ----> r = 1

1 + 1 = 2

x-5+2x-7 find the vale pleaser!!

Answers

Answer:

12

Step-by-step explanation:

They are the same angle so they must be equal.

So, x+5 = 2x-7

     5+7 = 2x-x

        12 = x

John sold 11 tickets Frank sold 50 Acres than twice the number that John sold how many tickets did Frank cell​

Answers

Answer:

50

Step-by-step explanation:

only that answer please correct✌️


List three values for x that would make 5x < -20 true.

Answers

Answer:

1. -5

2. -6

3. -10

Step-by-step explanation:

There are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been given that the inequality is below as

⇒ 5x < -20   ...(i)

⇒ 5x / 5 < -20 / 5

⇒ x < - 4

Thus, all the negative values which are less than -4 for x would make it true.

For example, we take x = -8

Substitute the value of x = -8 in the inequality (i),

⇒ 5(-8) < -20

⇒ - 40 < -20

This is true.

Similarly x = - 6, and - 7 also for x would make it true.

Hence, there are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

Learn more about inequalities here:

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Please help me to solve this

Answers

Answer:

x = -5, 6

Step-by-step explanation:

[tex]x^{2} - x - 30 = 0\\(x-6)(x+5) = 0\\x = -5, 6[/tex]

Find the difference of the
two expressions.
(4/5x- 2) – (1/5x + 7)

Answers

Answer:

solution in attachment

hope it helps

Find the surface area. Show ALL your work!

Answers

Just do the formula for area and you’ll get it :)

In an election the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes by what margin did the successful candidate win the election.

Answers

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer=0.4
Explanation

Answer:

Step-by-step explanation:

Ok, so remember your order of operations here.

Also, Remember that what we do to one side, we must do to the other side.

We cant solve whats in the parentheses, so that wont come first. The next best thing is the multipication of 0.8 in front of it:

0.8x(2x-4)

=

1.6x-3.2

Now lets rewrite the equation as:

1.6x-3.2=16

Now lets simply solve the rest:

1.6x=19.2

All I did is add 3.2 to both sides so I could get 1.6x on its own.

What is left is just dividing 1.6x to get 1x:

1.6x/1.6=19.2/1.6

This gets us:

x=12

This is because we divided 1.6 from both sides so that 1.6x became just x.

Answer:

12

Hope this helps!

Mathmerica Bank offers 2.1% interest compounded yearly
if you open a savings account with them and invest a
minimum of $2,500 dollars.

Answers

Answer:

Total = 2,500 (1.021)^t

Step-by-step explanation:

There is no question but the formula for compound interest is

Total = amount (1 + rate)^time

Total = 2,500 (1.021)^t

Will give brainliest please help!!!!

Answers

I am pretty sure it is A- The energy of a photon is h x c.

Jake took $20.00 to the shop and asked that it be changed into 5-cent coins. How many coins did he get?

Answers

Answer:

He got 400 coins because there are 100 cents in a dollar. 100*20=2000. 2000/5=400!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

I have no idea what the problem was with

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,

Answer:

120in

Step-by-step explanation:

Okay, this is going to be a long one so hang onto your hats let's go

So, we first have to find the length that each of the frogs jumped so:

We're going to start with froggy #1, the 2-inch frog:

2 x 20 = 40

So froggy #1 can jump up to 40 inches so we're going to assume that each time our froggies jump, they jump to their full extent:

40 x 3 = 120

So froggy #1 jumped 120 inches

Now, we do the same with froggy #2, the 4-inch frog:

4 x 20 = 80

80 x 3 = 240

So froggy #2 jumped 240 inches

Now, we have to figure out how far ahead froggy #2 is from froggy #1:

240 - 120 = 120

So, the two froggies will end up 120 inches apart

hope this helps:)

Evaluate the expression when z=7 3z+8

Answers

Answer:

Hi! The answer to your question is [tex]29[/tex]

Step-by-step explanation:

[tex]3(7)+8[/tex]

[tex]3(7) = 21[/tex]

[tex]21 + 8[/tex]

[tex]= 29[/tex]

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Is 5 to the 10th power divided by 5 to the 5th power equal to 5 to the 2nd power?

Answers

Answer:

No.It is [tex]5^{5}[/tex]

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\frac{5^{10}}{5^{5}}=5^{10-5} = 5^{5}[/tex]

The length of the diagonal of a television screen is 20 inches and the height of the screen is 12
inches.
Which of the following is the width of the television screen?

Answers

Answer:

16

Step-by-step explanation:

b2=a2-c2 (squared)

20 2 - 12 2= 16

Answer:

16

Step-by-step explanation:

Is this relation a function?

Answers

Yes the relation is a function

Solve the equation. 3/4(x-12)=3 –12 9 16 20

Answers

Answer:

         x = 16

Step-by-step explanation:

³/₄(x - 12) = 3        {multiply both sides by ⁴/₃}

x - 12 = 4             {add 12 to both sides}

 x = 16

If the area of a rectangle in terms of x is x2 + 15x + 26 / 6x2 and its width is x2 - 3x - 10 / 30x3 Find the length of the rectangle.

Answers

Answer:

The length of the rectangle is;

5x(x+13)/(x-5)

Step-by-step explanation:

Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle

To find the length of the rectangle, we will have to divide the area by the width

we have this as;

(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3

thus, we have ;

(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)

= (x^2+15x+ 26)/(x^2-3x-10) * 5x

But;

(x^2 + 15x + 26) = (x+ 2)(x+ 13)

(x^2-3x-10) = (x+2)(x-5)

Substituting the linear products in place of the trinomials, we have;

(x+2)(x+13)/(x+2)(x-5) * 5x

= 5x(x+13)/(x-5)

What is the equation of the line containing the points (3, 1), (9,3), and (27, 9)?
A. y = x3
B. y= 3x
C. y = 1/3x

Answers

Answer:

C = 1/3(x)

Step-by-step explanation:

Here, we want to get the equation of the line that contains the given points

From what we have , we can see that when the x-values are divided by 3, we get the y-values

thus, the equation that links the two variables is that;

y = 1/3x

In ⊙Q, mJK=180° and mLM=116°. What is m∠1?

Answers

Answer:

64degrees

Step-by-step explanation:

From the given diagram;

m<LK = 180degrees

m<LM = 116degrees

Required

m<1

Since <1 and <LM lies on the same straight line, hence;

m<1 + m<LM = 180

m<1 + 116 = 180

m<1 = 180 - 116

m<1 = 64degrees

Hence the measure of m<1 is 64degrees

Answer: 32

Step-by-step explanation:

2a+180+116=360

2a=64

a=32

In the similar quadrilaterals below, what is the length of ?

Answers

Answer:

10 cm

Step-by-step explanation:

In the first quad, AD is 8 cm and in the second, it is 4 cm

4 x 2 = 8

so do 5 x 2 to get AB

10

Ava and her three friends went out for lunch. Their total bill was $96. If each person paid the same amount, how much would each person pay?

Answers

Answer:

96/4= $24 dollars per person

Step-by-step explanation:

find the 13th term of the arithmetic sequence -2x+8, 4x+2, 10x-4,...

Answers

Answer:

70x - 64

Step-by-step explanation:

Answer attached.....

Hope it helps:)

Please help only correct answers.

Answers

True
False
True
Brainliest?


its literally not fair...

Answers

Answer:

I thought you were quoting danganronpa for a second ...

I hope you feel better!!

Step-by-step explanation:

This is really funny joke!

Express the height of the tower in terms of trigonometric ratios. A) 35(cos95°) B) 95(tan35°) C) 95(cot35°) D) 95(sin35°)

Answers

Answer:

95tan35°

Step-by-step explanation:

Find the diagram attached

Given the following

Adjacent = 95m

Opposite = height of the tower

Angle of elevation  = 35degrees

Using SOH CAH TOA

tan theta = opp/adj

Tan 35 = h/95

Cross multiply

95 * tan 35 = h

95tan35 = h

Swap

h = 95tan35

Hence then the height of the tower in terms of trigonometric ratios is 95tan35°

PLEASE HELP! WILL GIVE BRAINEST!! FOR MY MATH EXAM. please answer the whole question. only a few sentences are needed thanks.
Jordan asked some of his classmates their favorite numbers from 1-20. The numbers he found are below.
6, 10, 4, 12, 20, 5, 3, 12, 10, 2, 18, 15
Find the:
a. Minimum

b. Q1

c. Median

d. Q3

e. Maximum

Answers

Answer:

a. Minimum: 2

b. Q1: 9/2 = 2 1/2

c. Median: 10

d. Q3: 27/2 = 13 1/2

e. Maximum: 20

Please help me, I'm afraid of failing this but I don't know what it's even about

Answers

Answer:

...

Step-by-step explanation:

the coefficients are 4, 7, 4, 6

12 mols of h20 will be produced

In this diagram, ABAC – AEDF. If the area of ABAC = 24 in2, what is the area of AEDF? D À E 2 in F В 4 in С Area AEDF = [?] in2 please I need help

Answers

Answer: 6

Step-by-step explanation:

The area of the triangle EDF is 6 in².

What are similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent, and their corresponding sides are in equal ratios.

Given that, two triangles are similar, ABC and EDF,

We know that, the area of two similar triangles implies that if two triangles are similar to each other, the ratio of their areas will be proportional to the square of their corresponding side ratios.

Therefore,

ar(ΔABC)/ar(ΔEDF) = (2/4)²

24/ar(ΔEDF) = 1/4

ar(ΔEDF) = 6

Hence, the area of the triangle EDF is 6 in².

Learn more about similar triangles, click;

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