1. Find the sum of the measures of the interior angles of a convex 11-gon.

Answers

Answer 1

Answer:

The measure of the sum of interior angles of a 11-gon is [tex]1620^{o}[/tex].

Each interior angle is approximately [tex]147.273^{o}[/tex].

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than [tex]180^{o}[/tex].

But,

sum of interior angles of polygon = (n - 2) x [tex]180^{o}[/tex]

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x [tex]180^{o}[/tex]

                                         = 9 x [tex]180^{o}[/tex]

                                         = [tex]1620^{o}[/tex]

Sum of angles of a 11-gon = [tex]1620^{o}[/tex]

To check: convex polygons' interior angles are less than [tex]180^{o}[/tex].

so that,

each interior angle of 11-gon = [tex]\frac{1620}{11}[/tex]

                                        = [tex]147.273^{o}[/tex]


Related Questions

what is the volume.
(pls hurry cause i have to turn in soon.)

Answers

Your correct answer is v= 114
V= 120
Used the formula for pyramids, the B is equal to 36 and h is equal to 10 then you just multiply 1/3 10 and 36 to get 120

i need help answering this but also how to do it like step by step. i don’t understand this. (9 + 7x) - 7x

Answers

Answer: 9

Step-by-step explanation: so first you remove the ( ) because they’re useless in this then once you remove then Since two opposites add up to zero, remove them from the expression then you only get left with 9.

Eighteen students decide they don't want to be
rescued and want to continue to live in the
jungle. If this represents 40% of the students,
how many students want to be rescued?
Type your answer into the box to continue.

Answers

Answer: 45

Step-by-step explanation:

18 = 40% N

18 = 0.4 N

Divide both sides by 0.4

N = 45

There are 45 students want to be rescued.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Eighteen students decide they don't want to be rescued and want to continue to live in the jungle.

And, This represents 40% of the students.

Now,

Let the number of students want to be rescued = x

So, We can formulate;

⇒ 40% of x = 18

Solve for x as;

⇒ 40/100 × x = 18

⇒ 40x = 1,800

⇒ x = 1800/40

⇒ x = 45

Thus, The number of students want to be rescued = 45

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

What would x equal for this equation

Answers

Answer:

15

Step-by-step explanation:

3*5

Two rabbits land on deserted Salt Island; they breed,and the number of rabbits on the island doubles every 4 weeks. Two other rabbits arrive on deserted Pepper Island; these rabbits triple every 4 weeks. At the end of the 12 weeks, one python arrives on each island. As each python grows, the number of rabbits it can eat each week doubles. The first week, each eats 1 rabbit, the second week, 2, and so forth. How long will it take the python to wipe out the rabbits on each island?

Answers

Answer:

It will take it 7 weeks

Step-by-step explantion

Which of the following measures of variability can be used to compare two data sets? Select all that apply.3 Answers PLZ FAST ASAP
A: Mean
B:Interquartile range
C.Median
D: Mean Absolute Deviation (MAD)
E: Range

Answers

A B D I’m pretty sure. Median is 3 or more and range just doesn’t make sense for 2 numbers

Answer:

Its Interquartile range, Mad and range

Step-by-step explanation:

David y Angie tienen dos cartulinas iguales. David corta la suya en 3 trozos iguales y Angie la corta en 7 trozos. Los dos usan 2 de sus trozos para hacer un muñeco. Que fracción de cartulina ha usado David?¿Y Angie?¿Quien ha usado mas cartulina? Alguien me lo dice por fa es que no lo entiendo

Answers

Answer:

(i) David ha empleado [tex]\frac{2}{3}[/tex] de la cartulina.

(ii) Angie ha empleado [tex]\frac{2}{7}[/tex] de la cartulina.

(iii) David ha usado más cartulina.

Step-by-step explanation:

El problema indica que David y Angie emplean una cartulina del mismo tamaño cada uno. David corta la suya en 3 pedazos iguales, mientras que Angie obtiene 7 pedazos iguales. Finalmente, cada uno emplea dos de sus pedazos. A continuación, respondemos a las preguntas del enunciado:

(i) ¿Qué fracción de cartulina ha usado David?

La fracción de cartulina empleada por David es igual a los pedazos utilizados divididos por el total de pedazos. Esto es:

[tex]x = \frac{2}{3}[/tex]

David ha empleado [tex]\frac{2}{3}[/tex] de la cartulina.

(ii) ¿Qué fracción de cartulina ha usado Angie?

Aplicando el mismo procedimiento del punto anterior, tenemos que:

[tex]x = \frac{2}{7}[/tex]

Angie ha empleado [tex]\frac{2}{7}[/tex] de la cartulina.

(iii) ¿Quién ha usado más cartulina?

La persona que ha usado la mayor cantidad de cartulina es aquella que tiene el menor denominador. Por tanto, David ha usado más cartulina.

In the diagram, △ABC∼△CDE. Write an equation for line k

Answers

Answer:

Step-by-step explanation:

Line AB is parallel to line CD (k) so they have the same slope.

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

m=(6-0)/(4-0)

m=6/4=1.5

y=mx+b, we know m=1.5 so

y=1.5x+b, and we know it passes through point (4,0) so we can solve for b

0=1.5(4)+b

0=6+b

b=-6 so line k is

y=1.5x-6

HELPP ASAP I WILL GIVE 14 POINTS

Answers

Given:

A box-and-whisker plot of data set.

To find:

The percentage of the data values that are greater than 80.

Solution:

From the given box-and-whisker plot, it is clear that:

Minimum value = 8

First quartile = 60

Median = 68

Third quartile = 80

Maximum value = 92

We know that the 25% the data value are greater than or equal to third quartile because the third quartile divides the data in 75% to 25% and 80 is the third quartile.

Therefore, about 25% of the data values that are greater than 80.

The rivers depth is three meters greater than its width. two time the rivers depth is equal to six meters more than twice its width.
PLZ write a system of equations and show ALL work
WOULD APPRECIATE A LOT

Answers

Answer:

d = w + 3 (first equation)

2d = 2w + 3 (second equation).

The second equation is equivalent to the first one.

In other words, two equations carry the same information as the first one, not more.

In the language of linear algebra, the system is dependent

The point (7, −2) is reflected across the x-axis. What are the coordinates of the reflection?

Answers

It would be (7,2). If you look at the graph you can check.

Please help, I don't understand- will give brainliest and 50 coins

Answers

Answer:

meh

14fri

Step-by-step explanation:

For the parallelogram, if m<2=5x-28 and m<4=3x-10, find m<3​

Answers

5x-28=3x-10
X=9
5*9-28=40
360-40-40=280
280/2=140=m<3

A laptop has a listed price of $667.95 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$719.72

Step-by-step explanation:

64° (3x + 1)º Find the value of x. I need help!!
A 21
B 27
C 51
D 14

Answers

Answer:

Take away 1 from either side so the equation becomes 63=3x then divide both sides by 3 so it becomes 21=x which is your answer (option A)

Step-by-step explanation:

How do I do this I need help I don’t wanna fail this quarter!!!!

Answers

Answer:

SSA

Step-by-step explanation:

Side Side Angle

Help I dont understand the Problem

Answers

Mode is the answers that occurs the most frequently in a data set. So it’s 3-4 inches.

Is this right? Please hurry im trying to get all my work done

Answers

Answer:

I’m pretty sure it’s right.

Step-by-step explanation:

In right triangle ABC shown below, what is the length of BC?

Answers

I’m pretty sure it’s 6

y =-0.011x + 40.604
What is the slope

Answers

0.11×11%×40.60%×4=0.11×+40%.604

1. y + 2.4 = 7.4
2. w − 3 = 11
3. 5 + y = 7
4. b + ½ = ⅔

1) y =
2) w =
3) y =
4) b =

Answers

Hopes this helps:

Answer:

1. Y = 5
2. W = 14
3. Y = 2
4. B = 1/6

PLSSS HELP 50 POINTSS ILL SEND 40 MORE IF U HELPP PLSSS
The cost of the hiking trip this year is 2/3of the cost of last year's trip. This year's trip cost $32

1. Write an equation that represents the cost of last years trip.
2.What was the cost of last year's trip

Answers

1) y=53

2)53

21 is 2 thirds of 32 so you add them together and get 53. Also Y=Cost of last years trip which we determined is $53

what is the answer to these questions I will give brainly

Answers

Answer:

1) 12 2) 1/8

Step-by-step explanation:

1) 3 times 4 = 12

2) 1/2 times 1/4 = 1/8

     

how do i solve? the help video doesnt actually help

Answers

Answer:

y = 5x - 8

Step-by-step explanation:

The linear equation in slope intercept form :

y = mx + c

m = slope ; c = intercept

m = Rise / Run = (y2 - y1) / (x2 - x 1)

Rise = (y2 - y1) = (12 - (-8)) = (12 + 8) = 20

Run = (x2 - x1) = (4 - 0) = 4

Slope, m = Rise / Run = 20 /4 = 5

Hence,

y = 5x + c

For the points ; y = 12 ; x = 4 ; we could obtain c

12 = 5(4) + c

12 = 20 + c

12 - 20 = c

-8 = c

The equation becomes :

y = 5x - 8

A fish tank has 9 goldfish, 6 tetras, 5 snails and 3 platies. What is the ratio of tetras to platies​

Answers

Answer:

6:3

Step-by-step explanation:

6 tetras and 3 platies

pls answer correctly or i report you i really need to know this


the correct answer gets brain.liest


so answer correctly


pls answer correctly


pleaaaaaaaase

Answers

Answer:

final answer is d

Step-by-step explanation:

explanation multiply exponent on the outside by the inside.

btw you dont have to give me brainliest i dont really care for it i just like helping hope it's right good luck.!!;)

Help ASAP I give you a cookie after you answer:)

Answers

75. 36 is the answer!!!

which three statements are true about the line segment CB
it's the radius of the circle

it is the circumference of the circle

it is a cord
it is 6cm long

it is diameter of the circle

it is 7cm long

it is 1.75cm long​

Answers

Answer:

1. it is 7 cm long

2. it is a chord

3. it is the diameter of the circle

Step-by-step explanation:

Here, we want to select three statements that are true about CB

From what we have, CB runs from one edge to the other, passing through the center of the circle

Also, as we can see, AD is a radius as it is the distance from the center of the circle to the circumference; CB is twice this as it is the diameter

The diameter is a chord that passes through the center of the circle and it is a radius

So let us select the correct statements;

1. it is 7 cm long

2. it is a chord

3. it is the diameter of the circle

The graph shows the function f(x). What is the function's average rate of change from x = 0 to x = 2? Enter your answer, as a simplified fraction, in the boxes.

Answers

Answer:

It's been awhile since I've done this but wouldn't it be -2x

Step-by-step explanation:

Help me with this pls I’ll give brainliest

Answers

Answer:

Step-by-step explanation:

-1/2 is a rational number but not integer

6.66.. is an irrational number

-2 is an integer

-sqrt3 is an irrational number

150 is an integer

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