How many sides does a convex polygon have if the sum of measures of its angles is 2 520deg?

Answers

Answer 1

Answer:

16 sides

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here sum = 2520° , then

180° (n - 2) = 2520° ( divide both sides by 180° )

n - 2 = 14 ( add 2 to both sides )

n = 16

the polygon has 16 sides


Related Questions

Find the distance between the points



(8,8) and (8,-2)

Answers

Answer:

10 is the answer

hello bro

Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1 All integers where n ≤ 4 All integers where n ≥ 4.

Answers

All integers where n ≥ 1.

We have given that the sequence,

[tex]a_{n} =4-3(n-1)[/tex]

We have to find the domain for n.

What is the meaning of arithmetic sequence?

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, [tex]a_{n} =a+(n-1)d[/tex]

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By  the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence  for nth term

[tex]a_{n} =4-3(n-1)[/tex]

The domain for n is All integers where n ≥ 1.

To learn more about the arithmetic sequence visit:

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A square picture has a 2-in. frame around it. If the area of the frame alone is 72 in .2, what is the area of the picture?

Answers

The area of the picture is 68 square inches

How to calculate the area of a square

Given the following parameters

Area of the frame alone = 72 square inches

Area of the square picture = 2 * 2 = 4 square inches

Determine the area of the picture

Area of the picture = 72 square in - 4 square in

Area of the picture = 68 square inches

Hence the area of the picture is 68 square inches

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use the given information to find the missing angles

Answers

Answer:

m<CAD= 120 degrees

m<CBA= 30 degrees

Step-by-step explanation:

just trust me bro

A fly was sitting on the ground in the front left corner of your classroom. He flew to the ceiling in the opposite corner of the room. How far did he fly if the room is 12 feet by 8 feet by 9 feet?


A- 12.0 feet
B- 17 feet
C- 14.4 feet
D- 864 feet

Answers

Answer: it should be either A or B

Step-by-step explanation:

sorry if I’m wrong

Simplify polynomial: 10xyz(20xyz-30xyz)

Answers

200xyz-300xyz because you would have to multiply 20 times 10 and you get 200 then multiply 30 times 10 and you get 300 then just plug the number in

Hurry please!
Find the slope

Answers

Answer:

0

Step-by-step explanation:

The slope is always 0 on a horizontal line.

Select all the following that describe the association in the scatter plot

Answers

Answer:

Linear and positive

Step-by-step explanation:

Positive because its going up and linear because its not scattered, its more or less in a line going up

Please help with this question

Answers

Answer:

Hope it helps ;)

Step-by-step explanation:

tan60 = √3 = 28/EG

=> EG = 28/√3 = 28/1.73

=> EG = 16.2 in.

sin60 = √3/2 = 28/EF

=> EF = 56/√3 = 56/1.73

=> EF = 32.4 in.

cole spent 55% of his money on a coat and the rest on food. if he spent $187 on the coat, how much did he spend on food?

Answers

( ( 187 / 55 ) * 100 ) - 187 = how much he spent on food

( ( 187 / 55 ) * 100 ) - 187 = $153 spent on food

HELPPP FOR BRIANSLST!!!

Answers

Answer:

5/16

Step-by-step explanation:

velvet and acoustic guitar (5) over total (16)

5/16 does not simplify

Please answer! It is due in 20 min.

Answers

Answer:

33

Step-by-step explanation:

90-57=?

57+?=90

57+33=90

The probability distribution for a
random variable x is given in the table.
-5
-3
-2
2
3
Probability
.17
.13
.33
.16
.11
.10
Find the probability that x <= -3

Answers

Answer:  0.30

Explanation:

Add up the probability values that correspond to x = -3 or smaller.

We'll add up the probability values corresponding to P(-3) and P(-5)

0.13+0.17 = 0.30

In a math test, there are 16 multiple-choice problems. Correct answer will get 6 points, and wrong answer will deduct 2 points, and leaving the question not answered will get 0 point. Stan has one question not answered, at least how many correct answer(s) should he get in order to get total score not less than 60

Answers

Answer: 10 questions
So if he has one question not answered that stays at 0 points+ however many points he already has. He has to get at least 10 questions right. 10x6= 60

i do not know this answer

Answers

the answer is (3, -5)

Answer:

(5,  -5)

Step-by-step explanation:

The point J is 3 away form the line. so when reflected, it will be 3 away on the other side, thus (5, -5)

Please help me here's the question

Anthony answered 16 out of 20 questions on his reading midterm correctly. What percent of questions did Anthony answer correctly on his midterm?

Answers

A= 40%

B= 80%

C= 75%

D= 16%

Answers

Answer:

Anthony answered 16 out of 20 questions on his reading midterm correctly. What percent of questions did Anthony answer correctly on his midterm? 80%

Answer:

80 percent wich is letter B

Step-by-step explanation:

percent = 100

so 16/20 can also be written as 80/100 which is 80%

A spinner has numbers from 1-5. What is the probability of spinning a multiple of 2?

Answers

The only multiples of two here are 2 and 4. That leaves you with two options out of 5, so the probability is 2/5.

There are 6 red marbles, 7 green marbles 5 orange marbles and 9 pink marbles what is the probability of getting a red and green marble without putting it back.

Answers

There are 9+7+6=22 marbles in
total.
Hopes this help:)

Answer:

6/27

Step-by-step explanation:

because there is 6 red marbles and the total of 27 marbles

so there is 6/27 chances that you get a red marbles


if f(x) = 2 - x^1/2 and g(x) = x^2 – 9, what is the domain of g(x) divided f(x)?

Answers

~Shoto Todoroki here~

Let's consider what we are asked. The domain is defined as a set of points that satisfy the equation on the x-ordinate.

So, essentially, we need to find if and what the restriction on x is.

Let's now consider just f(x) because g(x) is completely irrelevant to the question.

f(x) = 2 - x^(1/2)

Since f(x) can never be 0 for a defined function, let's consider when f(x) = 0 to find a restriction on x.

2 - x^(1/2) = 0

2 = x^(1/2)

+-4 = x

But we can only take the positive 4 because inside a square root has to always be positive (unless you're dealing with complex numbers), so the only restriction is that x cannot be equal to 4.

Therefore, our domain is: x >= 0; x =/= 4

hope this helps :D

48 divided by 9,853 and whats the r

Answers

The quotient and remainder of 9853 divided by 48 = 205 R 13

explained in image

2x times -6x in multiplying polynomials

Answers

Answer:

- 1x2x3xX

Step-by-step explanation:

- 6x

One of the factors is - 1

If the coefficient is negative, one of its factors is - 1

⬇️

- 1x6x

Factor the monomial by writing the coefficient 6 as a product of prime numbers

⬇️

Solution

- 1x2x3xx

write the area of an isosceles triangle having length of equal sides pcm. and thrid side qcm.​

Answers

Answer:

what are the lengths?

Step-by-step explanation:

Work out percentage change when a price of £20 is increased to £50

Answers

Answer:

150%

Step-by-step explanation:

40 euro = 100% change

20 / 2 = 10 (50% of 20)

Add them

40 + 10 = 500

100 + 50 = 150

150%

150%

50 is a 150% increase of 20.

Help me please it’s due by today

Answers

Answer:

D

Step-by-step explanation:

Lateral SA = area of the 4 triangles

Formula to be used :-

Area (triangle) = 1/2bh

=> 4 x 1/2 x 9 x 12

=> 108 x 2

=> 216 cm²

Total SA = LSA + area of the square

Formula to be used :-

Area (square) = side length x side length

=> 216 + 9 x 9

=> 216 + 81

=> 297 cm²

The correct option is (D).

LSA:-

Area of one triangle:-

1/2(Base)(Height)1/2(9)(12)6(9)54cm²

LSA

4(54)216cm²

TSA:-

Area of square:-

side²9²81cm²

TSA:-

81+216=297cm²

Even though humpback whales do most of their feeding near sea level, they can dive about 650 feet. They are also considered the most acrobatic whale and often jump about 45 feet above the water. What is the vertical distance a typical humpback whale can travel? Give a numerical answer and explain your thinking.

Answers

Answer:

695 feet !! u add the two distances together.

The radius of a circle is 17 cm. Find its area in terms of pie

Answers

Answer:

289π cm²

Step-by-step explanation:

Area = πr²

= π x (17)²

= 289π cm²

What is the equation of the line slope of 1/4 and a y-intercept of -2


Help me with these 3 equations please !!!!!!!

Answers

Hello.

We have the slope of the line and its y-intercept; this is enough information for us to write the line's equation in slope-intercept form:

y=mx+b

m = slope (1/4)

b= y-intercept

Equation:

[tex]y=\displaystyle\frac{1}{4} x-2[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Can somebody help me please and thank you

Answers

We know that,

[tex]{ \longrightarrow \bf \qquad \: {(a + b)}^{2} = {a}^{2} + 2.a.b + {b}^{2} }[/tex]

Solution :

[tex]{ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + 9 }[/tex]

We can also write it as,

[tex]{ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + {3}^{2} }[/tex]

Now, using the formula, we'll solve the expression.

[tex]{ \longrightarrow \sf \qquad \: {2x}^{2} + 2.2x.3 + {3}^{2} }[/tex]

[tex]{ \longrightarrow \sf \qquad \: (2x + 3)^{2} }[/tex]

Since,

Area = (side)²

Therefore,

The Length of one side is (2x + 3)

The longest chord in the diagram is:
UT
TV
SV
SU

Answers

Answer:

a ut is the longes cored

Step-by-step explanaton:

Drag and drop the angles and line segments into the correct category to identify those that are chords, inscribed angles, and central angles in the figure. The center of the circle is C.

Answers

Line DE and DF are chords, angle DCF is a central angle while angle DEF is an inscribed angle.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point known as the center is constant.

Chord is a straight line running across the circumference. Central angle are angles subtending from circle center.

Line DE and DF are chords, angle DCF is a central angle while angle DEF is an inscribed angle.

Find out more on circle at: https://brainly.com/question/24375372

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