An interior angle of a regular convex polygon is 135°. How many sides does the polygon have?

Answers

Answer 1

Hey there! :)

Answer:

The polygon has 8 sides.

Step-by-step explanation:

Use the sum of interior angles formula to solve.

The sum of the interior angles is equal to (n-2)180. If 135° is one angle, we can simply set up an expression to represent this situation:

135 = (n-2)· 180 / n

Multiply both sides by n:

135n = (n-2) · 180

Distribute the 180:

135n = 180n - 360

Subtract 180n from both sides:

-45n = -360

Divide both sides by -45:

n = 8. The polygon has 8 sides.

Answer 2

Answer:8 sides

Step-by-step explanation:

An Interior Angle Of A Regular Convex Polygon Is 135. How Many Sides Does The Polygon Have?

Related Questions

Amir wants to buy a $1382 Apple iPhone that is 12% off. What is 1 point
the discounted price before tax? *

Answers

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

The answer is C.........

n a group of 60 students, 18 students take algebra I, 20 students take Algebra II, and 10 students take both subjects. How many students don’t take either of these subjects?

Answers

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820

Answer:

32 students take neither of the subjects

Step-by-step explanation:

If we add the 20+18 we get 38. But 10 of the students are counted twice. So subtract 10 from 38 to get 28. This way each of the students that take both subjects are only counted once. Then, we take the total number of students, 60 and subtract the 28 students taking algebra classes to get 32 students.

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

c.) x-2

Step-by-step explanation:

Answer:

X-2

Step-by-step explanation:

The sum of three numbers is 84 The second number is 2 times the first. The third number is 16 less than the second. What is the second number?

Answers

Answer:

40

Step-by-step explanation:

First let x represent the first number.

Let 2x represent the second number.

Let 2x-16 represent the third number.

x + 2x + 2x-16 = 84

5x -16 = 84

5x = 84 + 16

5x = 100

Divide both sides of the equation by 5 so that x can stand alone.

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

x = 20

∴ First number = x = 20

Second number = 2x = 40

Third number = 2x - 16 = 24

I don’t quite understand what to do or how to solve it. Can someone explain please ?

Answers

Answer:

True.

Step-by-step explanation:

Remember the vertical line test. Anywhere on that graph, you can draw a vertical line, and it will not touch the function two times. Because of this, it is true.

Find the surface area of the square pyramid using its net.

Answers

Answer:

33 square units

Step-by-step explanation:

4 triangles - 1/2 * 3 * 4 = 24

base is 3 * 3 = 9

24 + 9 = 33

Can someone please help me I need help please help me please help

Answers

Answer: just graph these two equations

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

the initial cost, $10, is your b value for the equation y = mx + b so yo would start here on the y axis. but for the second option you start at zero since you don't have a b value

Answer:

use this hope help you

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

For A (1, -1), B(-1,3), and C(4, -1), find a possible location of a fourth point, D, so that a
parallelogram is formed using A, B, C, D in any order as vertices.

Answers

Answer: c, b, a, d

Step-by-step explanation: that is correct

PLZ HELP!! I WILL NAME BRAINLIEST thxs

Answers

Answer:

1.) f(-2)=g(4)

2.) f(0) = g(-2)

3.) f(-4)=g(-2) and f(4)=g(4)

4.) -9

Step-by-step explanation:

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.

Answers

Answer:

The slope is  [tex]s =[/tex] $0.1774 / pounds

Step-by-step explanation:

From the question we are told that

   The weight of the rat is [tex]w_1 = 3.5 \ pound[/tex]

     The cost of feeding the rat per week is [tex]c_1 =[/tex]$4.50

     The weight of a Beagle is  [tex]w_2 = 30 \ pound[/tex]

     The cost of feed a Beagle per week is  [tex]c_2 =[/tex]$9.20

Now the slope can be evaluated mathematically as

           [tex]s = \frac{c_2 -c_1 }{w_2 -w_1 }[/tex]

substituting values

            [tex]s = \frac{9.20 -4.50 }{30 -3.5 }[/tex]

           [tex]s =[/tex] $0.1774 / pounds

Rewrte the expression with a ratational exponent as a radical expression (4^2/5)^1/4

Answers

Answer:

Step-by-step explanation:

(4^2/5)^1/4

first multiply the exponent

2/5*1/4=2/20=1/10

4^1/10= 10√4(the ten is on the top to the square root)

(04.03 LC
Given the following system of equations:
3x + 5y = 30
X + 3y = 10
Which action creates an equivalent system that will eliminate one variable when they are combined?​

Answers

Answer:

              multiply second equation by (-3)

new system of equations:

3x + 5y = 30

-3x - 9y = -30

Step-by-step explanation:

x + 3y = 10

multiplied by (-3):

-3x - 9y = -30

combinig:

3x+5y + (-3x-9y) = 3x - 3x + 5y - 9y = -4y

10 + (-30) = -20

so:   -4y = -20

Answer:

Multiply the second equation by −3 to get −3x − 9y = −30.

Step-by-step explanation:

Find the range of the given function y = 5x + 2, where x > -2.

Answers

Answer:

{-3, 2, 7, ...... } is the range of given function.

Step-by-step explanation:

We are given that the function is defined as:

[tex]y = 5x + 2[/tex] where [tex]x > -2[/tex].

To find:

Range of the given function = ?

Solution:

First of all, let us have a look at the definition of Domain and Range.

Domain of a function f(x) is the set of input that is valid i.e. the value of x which are valid.

For example, in the given question, x > -2 i.e. x can be any value from the set {-1, 0, 1, 2, ......} is the domain of given function.

Range of a function f(x) is the set of output that is valid according to the input given.

For the given equation, let us put the value of x one by one and try to find out the value of y.

Putting x = -1 first:

[tex]y = 5 \times -1+2\\\Rightarrow y=-3[/tex]

Putting x = 0:

[tex]y = 5 \times 0+2\\\Rightarrow y=2[/tex]

Putting x = 1:

[tex]y = 5 \times 1+2\\\Rightarrow y=7[/tex]

So, the range is : {-3, 2, 7,......}

PLEASE HELP ASAP don’t have much time.

Answers

Answer: 4

Step-by-step explanation:

numerator - denominator

Numerator: w¹³           Denominator: w⁸ · w¹

                   13      -                             (8 + 1)

13 - 9 = 4

If the sum of all interior angles of a regular polygon is 1080 degrees then number of sides of the polygon is?

Answers

Answer:  8

Step-by-step explanation:

The formula for the sum of the angles of a polynomial is:

[tex]S_n=180(n-2)[/tex]

1080 = 180(n - 2)

1080 = 180n - 360

1440 = 180n

8 = n

Answer:

8

Step-by-step explanation:

It's an octagon

need some help asap...............

Answers

Answer:

39.94 cm

Solution,

ABCD is a rectangle.

Given,

AC= 64 cm

AB= 50 cm

To find: Value of other side of TV

since, ABCD is a rectangle

<B= 90°

Using Pythagorean theorem:

[tex] {ac}^{2} = {ab}^{2} + {bc}^{2} \\ {64}^{2} = {50}^{2} + {bc}^{2} \\ {bc}^{2} = {64}^{2} - {50}^{2} \\ {bc}^{2} = 4096 - 2500 \\ {bc}^{2} = 1596 \\ bc = \sqrt{1596} \\ bc = 39.94 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

Which equation has the steepest graph?
A. y = 10x-5
B. y=3/4x-9
c. y = -14x+1
D. y = 2x + 8

Answers

The equation that has the steepest slope is y = -14x + 1

What is a slope?

A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.

Analysis:

A line is said to be the steepest if it has the highest absolute value of the gradient or slope.

From the equations, the coefficient of x in the equations is taken as the slope.  y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.

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Answer:

Y=-14x+1

Step-by-step explanation:

Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28

Answers

Answer:  24) C. SSS only

               26) D. DH = HF

Step-by-step explanation:

24.

Statement                    Reason

1. BD = CA                    1. Given

2. AB = CD                  2. Given

3. AD = AD                  3. Reflexive Property

4. ΔABD = ΔDCA        4. SSS Congruency Theorem

We have no information about the angles so cannot use SAS Theorem.

26.  G H F

      E H D

Line up the letters to find the congruent sides:

⇒  GH = EH

    HF = HD

     GF = ED

They can leave tonight by bus, or they can save two hours by leaving tomorrow morning and using the express train which travels 20 km/h faster than the bus. If the distance between South Central High and Calgary is 800 km, determine how long it will take to travel by bus, rounded to the nearest hour.

Answers

Answer:

The bus will take 10 hours to travel from South Central High to Calgary.

Step-by-step explanation:

Let suppose that both bus and express train travels at constant speed, whose kinematic formula is now described:

[tex]v = \frac{\Delta s}{\Delta t}[/tex]

Where:

[tex]v[/tex] - Speed, measured in kilometers per hour.

[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.

[tex]\Delta t[/tex] - Time, measured in hours.

The transportation time is cleared afterwards:

[tex]\Delta t = \frac{\Delta s}{v}[/tex]

The kinematic expressions for the bus and the express bus are, respectively: ([tex]\Delta s = 800\,km[/tex])

Bus

[tex]\Delta t = \frac{800\,km}{v}[/tex]

Express train

[tex]\Delta t - 2\,h = \frac{800\,km}{v + 20\,\frac{km}{h} }[/tex]

By eliminating [tex]\Delta t[/tex]:

[tex]\frac{800\,km}{v} -2\,h = \frac{800\,km}{v+20\,\frac{km}{h} }[/tex]

[tex]\frac{800\,km}{v} - \frac{800\,km}{v+20\,\frac{km}{h} } = 2\,h[/tex]

[tex]800\cdot (v+20)-800\cdot v = 2\cdot v\cdot (v+20)[/tex]

[tex]16000 = 2\cdot v^{2}+40\cdot v[/tex]

[tex]2\cdot v^{2}+40\cdot v -16000 = 0[/tex]

Which is a second-order polynomial and whose roots are:

[tex]v_{1} = 80\,\frac{km}{h}[/tex] and [tex]v_{2} = -100\,\frac{km}{h}[/tex]

Only first root is physically reasonable, as speed is a scalar, that is, a number that is represented only by magnitude. Then, the time taken by the bus to travel from Central High to Calgary is: ([tex]v = 80\,\frac{km}{h}[/tex])

[tex]\Delta t = \frac{800\,km}{80\,\frac{km}{h} }[/tex]

[tex]\Delta t = 10\,h[/tex]

The bus will take 10 hours to travel from South Central High to Calgary.

Please help thanks
a(n)=−6+3(n−1)

Answers

Answer:

a=-1

Step-by-step explanation:

a(n) = -6+3(n-1)

a(n) = -6+3n-3

a(n) -n=-6+3n-n-3

a=-6+3-3

+3 +3

a3=-3

---- ----

3 3

a=-1

A freight train averages 20 miles per hour traveling to its destination with full cars and 30 miles per hour on the return trip with empty cars. What is the train's average speed for the entire trip

Answers

Answer:

24mph

Step-by-step explanation:

Let's say the distance between the destination is 10 miles. The train will reach the destination in 30 min for the first round and 20 min the second. Now, we can say, the train took 50 min to go 20 miles. Which is also 24mph. (5min=2miles)

The train's average speed for the entire trip is equal to 25 mph.

Given the following data:

Distance A = 20 milesTime A = 1 hourDistance B = 30 milesTime B = 1 hour

To determine the train's average speed for the entire trip:

First of all, we would find the total distance and total time for the trip respectively.

For total distance:

[tex]Total\;distance = Distance\;A + Distance\;B\\\\Total\;distance = 20+30[/tex]

Total distance = 50 miles

For total time:

[tex]Total\;distance = Time\;A + Time\;B\\\\Total\;distance = 1+1[/tex]

Total time = 1 hour

Mathematically, average speed is given by the formula:

[tex]Average\;speed = \frac{Total\;distance}{Total\;time} \\\\Average\;speed = \frac{50}{2}[/tex]

Average speed = 25 mph.

Read more: https://brainly.com/question/17742679

Fiona's school is in the shape of a triangle, with three hallways connecting the corners. Fiona enters the building and walks 90 yards through the first hallway to the first corner. Then, she walks 60 yards through the second hallway to the second corner. A triangle is shown. The side lengths are 60 yards, 90 yards, and question mark. The top point is labeled exit and the bottom right point is labeled entrance. The distance between exit and entrance is question mark. What are the possible lengths of the third hallway? between 30 yards and 60 yards between 30 yards and 90 yards between 30 yards and 120 yards between 30 yards and 150 yards

Answers

Answer:

bettween 30 and 150 yards

Step-by-step explanation:

test

Answer:

Between 30 yds and 150 yds.

Step-by-step explanation:

Got it right Edge 2021

Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+8)°m∠z=(133−6n)° m ∠ x = ( 4 n − 18 ) ° m ∠ y = ( n + 8 ) ° m ∠ z = ( 133 − 6 n ) °

Answers

Answer:

67°

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.

Before we can get the exterior angle Z, we need to first calculate the value of n.

In geometry, the sum of interior angles is equal to the remote exterior angle.

m∠z = m∠x + m∠y

(133-6n)° = (4n-18)°+(n+8)°

133-6n = 4n-18+n+8

-6n-4n-n = -18-133+8

-11n = -143

n = 143/11

n = 13°

Since the exterior angle m∠z =(133-6n)°

Substituting n = 11 into the equation will give:

m∠z = 133-6(11)

m∠z = 133-66

m∠z = 67°

The remote exterior angle is 67°

Answer: 55

Step-by-step explanation:

what are the roots of the quadratic equation below 2x ^ 2 - 12x + 13=0 PLEASE HELP

Answers

Answer:

messy... but hope it helps you.

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute? Answer-0.09 miles per minute

Answers

Answer:

-0.09 miles per minute

Step-by-step explanation:

Solve for x. 9^x = sqrt 729 A.)1/4 B.)1/3 C.)3/4 D.)3/2 please help this is urgent!!!

Answers

Answer:

D

Step-by-step explanation:

Using the law of radicals/ exponents

[tex]\sqrt{a^{3} }[/tex] ⇔ [tex]a^{\frac{3}{2} }[/tex]

Consider the right side

[tex]\sqrt{729}[/tex] = [tex]\sqrt{9^{3} }[/tex] = [tex]9^{\frac{3}{2} }[/tex]

Thus

[tex]9^{x}[/tex] = [tex]9^{\frac{3}{2} }[/tex]

Since the bases on both sides are equal, equate the exponents, so

x = [tex]\frac{3}{2}[/tex] → D

Lucio quiere repartir su colección de estampillas entre la mayor cantidad de amigos pero de manera que todos reciban la misma cantidad tiene parar repartir 30 estampillas de animales 75 estampillas de flores y 160 de ciudades del mundo cuantos grupos iguales puede armar

Answers

Answer:

Lucio podrá armar 5 grupos iguales de estampillas.

Step-by-step explanation:

El problema plantea un caso de distribución mediante la aplicación del divisor común mayor a todos los números involucrados. Para ello, primero debemos analizar los divisores de cada uno de estos números:

-30: divisible por 2, 3, 5, 6, 10, 15 y 30.

-75: divisible por 3, 5, 15, 25 y 75.

-160: divisible por 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 y 160.

Así, podemos ver que el divisor común mayor a los tres números es 5, ya que 30, 75 y 160 dan como resultado un número entero tras ser divididos por 5.

Entonces, para poder repartir equitativamente sus estampillas entre la mayor cantidad de amigos posibles, deberá repartir 6 estampillas de animales, 15 estampillas de flores y 32 estampillas de ciudades a 5 amigos. De esta manera, Lucio podrá armar 5 grupos iguales de estampillas.

If T={x:X is an integer between 1 and 4} (A) List down the elements of set T in set notation. B write down the number of elements in set T . C list down all the subsets of set T.D separate the proper and improper subsets of T.

Answers

Answer:

The answer is given below

Step-by-step explanation:

A) Integers are whole numbers (without fraction) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}

B)  Since the elements in set T = {2, 3}, then the number of elements in set T = 2

C) The subsets of set T are {}, {2}, {3} and {2,3}

D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}

An improper subset of set T contains all the element of set T and a null element. The improper subset of set T are {2,3} and {}

Describe how to translate the graph of y = square root of X to obtain the graph of y = square root of X + 1

Answers

Answer:

Translated up by 1 unit.

Step-by-step explanation:

According to the diagram below, if you were to do the (square root of X + 1), then the graph would be translated to the left by 1 unit. If you were to do the square root of X + 1, the graph would be translated up by 1 unit.

Hope this helps!

Instructions: Find the equation of the line through point (5, 1) and
perpendicular to 5x - y = -3. Use a forward slash (i.e. "/") for fractions
(e.g. 1/2 for).

Answers

make y the subject

y= 5x + 3

perpendicular line needs the reciprocal of the gradient

y = 1/5x + c

substitute in the point

1 = 1/5(5) + c

5/5 = 1 so the answer is y = 1/5x

hope this is helpful!

The required equation of the line is [tex]\bold{y=-\frac{1}{5}x+2}[/tex]

What is the slope-point form of equation of the line?

"The equation of the line having slope m and passing through points (p, q) is (y - q) = m(x - p)"

What is the slope-intercept form of the line?

"y = mx + c, where m is the slope and c is the Y-intercept of the line."

For given question,

We have been given a point (5, 1)

The required line is perpendicular to the line 5x - y = -3

⇒ 5x - y = -3

⇒ - y = -5x - 3

⇒ y = 5x + 3

Comparing above equation with slop-intercept form of the line.

m = 5

Let m1 be the slope of the required line.

We know that the product of the slopes of perpendicular lines is -1.

⇒ m1 × m = -1

⇒ m1 = [tex]\frac{-1}{5}[/tex]

Now we find the equation of the required line by using slope-point form.

Let (p, q) = (5, 1)

By using slope-point form,

⇒ (y - q) = m1(x - p)

⇒ (y - 1) = [tex]-\frac{1}{5}[/tex] (x - 5)

⇒ y - 1 = [tex]-\frac{1}{5}x[/tex] + 1

⇒ y =  [tex]-\frac{1}{5}x[/tex] + 2

Therefore, the required equation of the line is [tex]\bold{y=-\frac{1}{5}x+2}[/tex]

Learn more about equation of line here:

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