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The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
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Answers

Answer 1

Answer:

Number of sides = 18

Step-by-step explanation:

Using the formula given below for this

=> [tex](n-2)*180 = measure of interior angles[/tex]

=> (n-2)*180 = 2880

Dividing both sides by 180

=> n-2 = 16

Now, Adding 2 to both sides, we get

=> n = 18

Answer 2

Answer:

20

Step-by-step explanation:


Related Questions

Solve the inequality. 3(7z + 1) less than 3 The solution set is z | ?

Answers

Answer:

z=1

Step-by-step explanation:

3x7z+1

21z+3

divided by 3

7z

divide by 7

z=1

Answer:

Z<0

Step-by-step explanation:

21z+3<3

21z<3-3

21z<0

Z<0

On Wednesday, a local hamburger shop sold a combined total of 372 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Answers

Answer:

93 hamburgers

Step-by-step explanation:

let cheeseburgers=c

let hamburgers=h

c=3h

c+h=372

Substitute c for 3h

3h+h=372

4h=372

h=93

c=h*3=93*3=279

279 cheeseburgers 93 hamburgers

The
is calculated by putting the data in
order and selecting the middle value.
The
is the data value that occurs the
most in a set of data.
The
is the difference between the
maximum and minimum values of a data set.
The
is the sum of the data divided by
the number of data values.

The answer choices are mean, median, Mode, range.

Answers

Answer:

median, mode, range, mean

Step-by-step explanation

the median is found by putting the data in order and selecting the middle value

the mode is the value that occurs the most often

the range is the difference between the greatest and least value

and the mean is the sum of all the values divided by the number of values

Answer:

The  ✔ median   is calculated by putting the data in order and selecting the middle value.

The  ✔ mode   is the data value that occurs the most in a set of data.

The  ✔ range  is the difference between the maximum and minimum values of a data set.

The  ✔ mean  is the sum of the data divided by the number of data values.

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is 4.4.

The median of the data is  4 .

The mode of the data is  2 .

The range of the data is  7 .

Step-by-step explanation:

Just took the test from E D G E N U I T Y....

hope this helps :P

Find the value of y.

Answers

Answer:

y = [tex]\frac{4\sqrt{3} }{3}[/tex]

Step-by-step explanation:

We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.

You can get that by finding the smaller value of the larger triangle.

[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]

x[tex]\sqrt{3}[/tex] = 8

x = [tex]\frac{8}{\sqrt{3} }[/tex]

x = [tex]\frac{8\sqrt{3} }{3}[/tex]

That is the hypotenuse of the smaller triangle. To find y...

[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]

2y = [tex]\frac{8\sqrt{3} }{3}[/tex]

y = [tex]\frac{4\sqrt{3} }{3}[/tex]

Hope this helps!

Use the linear combination method to solve this system of equations. What is the value of x? A. Negative 2.4 x minus 3.6 y = 1.2. 2.4 x + 1.2 y = 1.2. B. Negative 1 C. 0 D. 1

Answers

Answer:

x=1 , y = -1

Step-by-step explanation:

-2.4x-3.6y = 1.2

2.4x+1.2y = 1.2

Add the equations together

-2.4x-3.6y = 1.2

2.4x+1.2y = 1.2

---------------------------

   -2.4 y = 2.4

Divide by -2.4

y = -1

Now find x

2.4x +1.2y = 1.2

2.4x +1.2(-1) = 1.2

2.4x -1.2 = 1.2

Add 1.2 to each side

2.4x -1.2+1.2 = 1.2+1.2

2.4x = 2.4

Divide by 2.4

x = 1

Answer:

x=1

Step-by-step explanation:

A rabbit can run 45 miles in 15 minutes what is the unit rate

Answers

Answer:

A rabbit can run 3 miles in one minute.

Step-by-step explanation:

45 : 15

3 : 1

A rabbit can run 3 miles in one minute.

Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.

Answers

Answer:

The y-intercept would be 6.25

Step-by-step explanation:

I found this by taking the two points and making it into a y = mx + b line.

Answer:

(0,3)

Step-by-step explanation:

We can use the slope-intercept form to find the y-intercept.

First, we need to find the slope of the line.

We are given the points (-1,7) and (1,-1).

[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]

The slope is -4.

Slope-intercept is [tex]y=mx+b[/tex].

We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.

I will use (-1,7):

[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]

The line's equation is [tex]y=-4x+3[/tex].

Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).  

Si Luis paga 1546 centavos de los 1290 dólares que debía ¿cuánto le falta pagar?

Answers

Luis debia 12900 centavos y paga 1546 centavas entonces el todavía debe 11354 centavos

Determine the value of x in the figure answers: x =43 x = 8 x = –4 x = 4

Answers

x=4

step by step-
4x-8=x+4
+8 +8
—————
4x=x+12
-x -x
—————
3x=12
— —
3 3
—————
x=4

Answer:

x = 4

Step-by-step explanation:

Since the two base angles are equal, the sides must be equal

4x-8 = x+4

Subtract x from each side

4x-x -8 = x+4-x

3x -8 =4

Add 8 to each side

3x-8+8 = 4+8

3x= 12

Divide by 3

3x/3 = 12/3

x = 4

A can holds 2 liters of paint. How many cans can we fill with 11 liters of paint?

Answers

Answer:

5.5

Step-by-step explanation:

Each can holds 2 liters of paint. There is 11 liters of paint. The question is asking you to figure out how many cans of paint you can fill with 11 liters of paint. We can divide 11 by 2 to get the answer. 11÷2=5.5. The reason this works is because we are dividing the total amount of paint by how much each can will hold. 5.5 can also be written as "five and a half". So, the 11 liters of paint will fill 5.5 cans. Hope this helps!

5 and a half cans to be exact because you can’t get half a can

Why is the median listed at 55 when none of the data points is 55?

Answers

Answer: If there is an even amount of numbers in the list, the median is the average of the two middle most numbers, once they are in least to greatest.

Step-by-step explanation:

HELLLLPPP MEEEEE PLEASEEEE Let g(z) = -3z-1. Find the following value. g(z+h)

Answers

Answer:

g(z-1)

Step-by-step explanation:

Calculate the mean, median and mode of the following data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12

a. mean = 14.75, median = 15 mode = 16

b. mean = 15, median = 16, mode = 16

c. mean = 14.889, median = 16, mode= 16

d. mean =15, median =15.5, mode = 16

Answers

Answer:

d.mean =15, median =15.5, mode = 16

Step-by-step explanation:

hello,

to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 150 (total sum) divided by 10 (number of numbers) to get 15.

to find the median, you would organize the numbers from least to greatest and find the middle number which is 15.5.

last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 16.

hope this helped!

The correct answer to this is D I forgot how to do this but I remember what mean median and mode are

Claculate the height (x) of the tree.
Round your answer to the nearest foot and enter your answer
without units.

Answers

Answer:

50√3/3

Step-by-step explanation:

30-60-90 triangle

50:x = 2sqrt3 : 2

50*2 =100

100/2sqrt3 = ​3

​50√

​3

Please mark me brainiest..

​​

​​

Which system of inequalities has a solution set that is a line?
[x+y23
[x+y s3
[x+y2-3
Extysa
0
[x+y>3
(x + y <3
(x+y> -3
(x+y<3

Answers

Answer:

x + y ≥ 3

x + y ≤ 3

Step-by-step explanation:

In the picture attached, the problem is shown.

The solution to the system:

x + y ≥ 3

x + y ≤ 3

is the line x + y = 3

In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.


Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2

Answers

Answer:  (b) x = -2/3

Step-by-step explanation:

The vertical asymptote is the restriction on x.

The denominator cannot be equal to zero so that it the restriction.

Set the denominator equal to zero and solve for x to find the asymptote.

3x + 2 = 0

3x       = -2

 x       = -2/3

Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to have $2,160 in the bank before he starts school. how much must he earn to have the amount needed for school?

Answers

Answer:

He must earn $2,400 to cover both leisure and $2,160 for school expenses.

Step-by-step explanation:

Let the total amount Ken must earn be k.  Then 10% of that would cover leisure activities and the remaining 90% specifically for school expenses.

Then 0.90k = $2,160, and k = $2,400.

He must earn $2,400 to cover both leisure and $2,160 for school expenses.

Which is the equation of the parabola?


coordinate plane with a parabola facing up with vertex at 4 comma 2, the point 4 comma 6 and a horizontal line going through 0 comma negative 2


y = one sixteenth(x − 4)2 + 2

y = one sixteenth(x + 4)2 − 2

y = −one sixteenth(x − 2)2 + 4

y = −one sixteenth(x + 2)2 − 4

Answers

Answer: y = one sixteenth(x − 4)^2 + 2

Step-by-step explanation:

If the parabola is written as:

y = a*x^2 + b*x + c

then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

y =  1/6*(x + 4)^2 - 2  =  1/6x^2 + (8/6)*x + (16/6 - 2)

the vertex (4, 2)

then

x = -b/2a = 4.

this means that a and b must be of different sign, then the only correct option can be:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

where:

x-vertex  = (8/6)/(2/6) = 4 as we wanted.

when we evaluate this function in x = 4 we get

y = 1/6*( 4 - 4)^2 + 2 = 2.

So the correct option must be: y = one sixteenth(x − 4)2 + 2

Answer: The correct answer is the first answer, a.  y = one sixteenth(x − 4)2 + 2

Answer this problem 6/7×1/2 =

Answers

Answer: 3/7

Explanation:

Since it’s multiplying fractions, you don’t need to find a common denominator, just multiply across.

6/7 * 1/2 = 6/14 = 3/7

The value of the equation is A = 3/7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be represented as p

The value of p = 6/7

Let the second number be represented as q

The value of q = 1/2

The value of A = p x q

Substituting the values in the equation , we get

A = ( 6/7 ) x ( 1/2 )

On simplifying the equation , we get

A = ( 6/14 )

Divide by 2 on numerator and denominator , we get

A = 3/7

Therefore , the value of A is 3/7

Hence , the equation is A = 3/7

To learn more about equations click :

https://brainly.com/question/19297665

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A trust fund yields a 6% simple interest dividend to its members' accounts every month. If a member has $5,000 in the fund's account, how much money would be in that account after 3 months? **100 points and will give brainliest

Answers

Answer:

I believe that the answer would be $4,100

Step-by-step explanation:

5,000x0.06x3=900

5,000-900=4,100

Marco has a sandbox that is 3 feet long, 5 feet wide, and
foot deep. How many cubic feet of sand does he need to fill the
sandbox completely?


Answers

Answer:

Choice D

Step-by-step explanation:

[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]

Hope this helps!

Cubic feet would be volume.

Volume = length x width x height

Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.

question 132 .. .. .. .. ..

Answers

Answer:

∠LOM is 48°

Step-by-step explanation:

∠MOL+∠MON=180°

6x°+12°+7x°-92°=180°

13x°-80°=180°

Add 80° to both sides

13x°=260°

Divide both sides by 13

x°=20°

Plugging x° into the equation for ∠LOM, we get:

7×20°-92°=

140°-92°=

48°

∠LOM is 48°


What is the surface area of a right cylinder which has a base with radius 9 units and has a height of 12 units?

Answers

Answer: C

Step-by-step explanation:

The formula for surface area of a cylinder is A=2πrh+2πr². Since we know the radius and height, we can directly plug it into this formula to find surface area.

A=2π(9)(12)+2π(9²)

A=2π(108)+2π(81)

A=216π+162π

A=378π

A=1186.92 units²

These triangles are NOT similar! Why not?
Use calculations AND words to explain.

Answers

Answer:

Similar triangles are (roughly speaking) triangles that have the same angles and the same ratio of the length of their sides

We can use ratios to show that the triangles are not similar

14:20 as a fraction is 14/20 as a decimal is 0.7

12:16 as a fraction is 12/16 as a decimal is 0.75

The side lengths are not the same proportion as shown by the different decimal, so the triangles are not similar

Choose the correct conversion of 42 grams to milligrams. A. 0.042 B. 0.42 C. 420 D. 42,000

Answers

Answer:

42,000 mg

Step-by-step explanation:

multiply the mass value by 1000

42K thats all--------------------

According to the graph, what is the value of the constant in the equation
below?

Answers

Answer:

A, 0.4

Step-by-step explanation:

took the test! saw the other answer was wrong

The constant in the equation is 0.24

Data;

height = 0.8width(1) = 0.5width(2) = 0.8constant = ?

Constant

To find the constant in this data, we are given a formula which is

[tex]height = \frac{constant}{width}[/tex]

But the width can be found from subtracting the values from two consecutive width

[tex]width = 0.8 - 0.5 = 0.3[/tex]

The height that corresponds to this width is 0.8.

Let's substitute this in the formula and solve

[tex]height = \frac{constant}{width} \\constant = height * width\\constant = 0.8 * 0.3 = 0.24[/tex]

The constant in the equation is 0.24

Learn more on equations here;

https://brainly.com/question/14323743

Choose the correct conversion of 25 grams to milligrams. A. 0.025 B. 0.25 C. 250 D. 25,000

Answers

Answer:25000 because 1 m is equal to 1000mm

PLEASE MARK ME AS BRAINLIEST

A sequence defined recursively by the formula f(n+1) = -2f(n) . the first term of the sequence is -1.5 what is the next term in the sequence Search Results Web results

Answers

Answer: hi the answer is 3

Step-by-step explanation:

Can somebody help me with this one. It says use the vertical line test to determine which graph represents a function

Answers

Answer:

Only option C shows a function

Step-by-step explanation:

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.

In option A, a vertical line would cross two values, so it is not a function.

The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.

Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.

The chef in a restaurant makes a large kettle of soup each day. The restaurant sells the soup in different-sized bowls.

At 7 p.m the kettle contains 20 3/8 cups of soup. A server scoops 5/8 cup from the kettle into a small bowl. How many cups of soup are left in the kettle?

Answers

Answer: 79/4

Step-by-step explanation:

The kettle contains 20 3/8 cups of soup = 163/8 cups

A server scoops 5/8 cup from the kettle

So,

163/8 - 5/8 = 158/8 = 79/4

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Assume the relationship is directly proportional. Determine whether each function is even, odd, or neither.f(x) = (x2-9DONEg(x) = |x-31DONEx2-1DONEg(x) = x + x2DONE find the x-intercepts for the parabola defined by this equation Suppose you work as a manager in a firm. Your job is to hire the right number of people to maximize profit. Every worker you hire costs $150 per day, and each unit of output sells for $18 per unit. Given your current labor force, you know that if you hire another worker, that person will increase your output by 32.1. What is the marginal product of the worker you are considering hiring? 2 What is the value of the marginal product of labor for this potential employee?3. What is the marginal profnt or loss for hiring this employee? (Use a negative number if hiring this person results in a net loss4. Should this additional worker be hired? Helppppppp pleaseeeeeeee Read the passage below and use the information to answer the question that follows. Three-toed sloths have brown fur covered with green algae that helps them blend in with the treetops of the rainforest. Their arms are longer than their legs to help them hold on to tree branches. Here, they eat leaves that are very hard to digest. Sloths move slowly so that it is difficult for predators to see them. They have sharp claws that are good for climbing and protection. Three extra bones in the neck help sloths turn their heads 270 degrees to look for predators. Which of the following statements about sloths refer to environmental factors? Check all that apply. Sloths have brown fur. Sloths have longer arms than legs. Sloths eat leaves that are hard to digest. Sloths move slowly. Sloths have sharp claws. Sloths have three extra bones in their neck. Sekkrit help!!!!! If (x+1) is the factor of polynomial p(x) = ax+x+1, then find a. Consider the following three types of airplanes: Airbus planes that seat 320 passengers and cost $200 million each, Boeing planes that seat 250 passengers and cost $125 million each, and Lockheed planes that seat 275 passengers and cost $200 million each. You are the purchasing manager of an airline company and have a spending goal of $2,900 million for the purchase of new aircrafts to seat a total of 4,480 passengers. Also, you must buy twice as many Lockheed airplanes as Airbus planes. How many of each type of airplane should you order Find the scale ratio for the map described below.1 mm (map)equals500 m (actual)The scale ratio is 1 to nothing. Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x squared y Superscript 10 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction Calculate the linear acceleration (in m/s2) of a car, the 0.310 m radius tires of which have an angular acceleration of 15.0 rad/s2. Assume no slippage. m/s2 (b) How many revolutions do the tires make in 2.50 s if they start from rest