Mathematics College

please answer this question​

Please Answer This Question

Answers

Answer 1

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Before answering the given question, you should know the difference between polygon and regular polygon.

Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles. Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .

There are different types of polygon based on the sides :-

A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on.

Let's Begin :-

I have thought to make a 4 side polygon that is quadrilateral.

Steps of construction :-

Step - 1 :- Draw a 5 cm line AB horizontally Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD Step - 4 :- Now, join the line AD Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.

Result :- All the angles are equal that is 90° each.

Conclusion :- The above figure is square as it is having equal sides and angles.

Now, we have to find the sum of the angles of the polygon :-

Here,

All angles are equal in measure 90°

Therefore,

The sum of the angles of the given polygon

[tex]\sf{ = 90{\degree} + 90{\degree} + 90{\degree} + 90{\degree} }[/tex]

[tex]\sf{ = 180{\degree} + 90{\degree} + 90{\degree} }[/tex]

[tex]\sf{ = 270{\degree} + 90{\degree} }[/tex]

[tex]\sf{ = 360{\degree} }[/tex]

Hence, The sum of the angles of the above polygon is 360° .

Please Answer This Question

Related Questions

The frequency table shows the number of students selecting each type of
food.
Nachos Popcorn Smoothies Total
Boys
5
6
4
15
Girls
6
8
4
18
Total
11
14
8
33
What proportion of students chose popcorn?

Answers

The proportion of students who chose popcorn will be 14/33.

How to calculate the proportion?

From the information, the frequency table shows the number of students selecting each type of

food.

The number of people who choose popcorn = 14

Total number of people = 33

Therefore, the proportion of students chose popcorn will be:

= 14/33

Learn more about proportion on:

brainly.com/question/19994681

#SPJ1

Answer:

0.42

Step-by-step explanation:

How do you check the apparent solution of the following systems of equations: x+3y=8, x-4y=-6

Answers

Answer:

x=2

y=2

Step-by-step explanation:

x+3y=8

- x-4y=-6

7y=14

y=14/7

y=2

x+3(2)=8

x+6=8

x=8-6

x=2

y=2

x=2

How do you do this? Because I don’t get it

Answers

Multiply by -1 each time to get the answer in the output

Answer:

5,-17

6,-21

Step-by-step explanation:

When the input goes up by 1 the output goes up by negative 4 each time

If 10% of your paycheck was withheld for federal income taxes and another 6% for state income taxes, how much would your net (or take-home) pay be?

Answers

Your net income/take-home would be 84.6 percent of the gross amount.

What is net income?

Your net income is the amount of money left after payroll deductions in the form of taxes and other charges on the gross amount of your paycheck.

If we deduct federal and state taxes, 10 percent and 6 percent respectively, we would charge 10 percent and 6 percent of 100 and have 84.6 percent of your original(gross) income left.

Please read more about net income here:

https://brainly.com/question/22739980

PLEASE HELP ME PLEASE

Answers

Answer

true

Step-by-step explanation:

Answer:

I think true because that's the only star that is closest to the earth

Please help I'll mark brainliest ​

Answers

The answer is :his average is increase by 12
C: His average will increase by 12

Write an equation of a parabola with the given vertex and focus. Vertex (3,-2); focus (3,-3). Y=

Answers

Answer:

help mee

Step-by-step explanation:

i neddd heplp with my mathh thankyou

Write a money problem you can solve using sharing, joining, or separating

Answers

Answer:

Jonny have 100 dollars and he gave his 2 friend's $20 how much does he have left?

Step-by-step explanation:

100-40=60

Jonny has 60 dollars left

Find the lateral surface area of the rectangular prism in centimeters

Answers

Answer:

180 cm2 is the answer you can multiply all sides

Answer:

Step-by-step explanation:

length = l = 9 cm

Width = w= 3 cm

height = h  = 4 cm

Lateral surface area = 2 *( lh+ lw)

                                 = 2*( 9*4 + 9*3)

                                 = 2 * (36 + 27)

                                 = 2 * 63

                                  = 126 square cm

— I just need help,
look at picture for information .​

Answers

Answer:

  a = √28

Step-by-step explanation:

The Pythagorean theorem tells you the area of the large square is the sum of the areas of the smaller two squares.

  8² = a² +6²

  a² = 8² -6² = 64 -36 = 28

Taking the square root, we find ...

  a = √28

an office manager purchased 39 boxes of pens for the staff. each box contains 6 black pens and 4 blacks pens. Use the distribute property to write an equivalent expression for the total number of pens. them, simplify the expression​

Answers

Answer:

390 pens in total

Step-by-step explanation:

Each box has 6 black and 4 black

so the total amount of pens per box should be 10 because 6+4=10

Since we have to use distributive property you can write the equation (6+4)*39 because you need to figure out the total amount of pens in all the boxes.

6+4 is 10

and 10 * 39 is 390

therefore the answer is 390 pens in total

What the value of w?

Answers

Answer:

56 degree

Step-by-step explanation:

90 - 34 = 56

Answer:

w = 56

Step-by-step explanation:

w + 34 = 90 (the angle is a right angle)

w = 90-34 = 56

Latoya just bought a refrigerator for $931. She paid $139.80 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?

Answers

Answer:

$197.80

Step-by-step explanation:

$931.00 - $139.80 = $791.20

$791.20 / 4 equal installments = $197.80

if the length of a rectangle is 3 times of its breadth and perimeter is 96cm find the length and breadth of rectangle​

Answers

Breadth=x
Length=3x
Perimeter of a rectangle=2(l+b)
96=2(3x+x)
96=2(4x)
96=8x
x=96/8
x=12
Therefore breadth=12cm
Length=12*3=36cm

A triangle has one side that is 6 units long and another side that is 3 units long.

Which of the following could be the length of the third side?

2 units
3 units
4 units
6 units
8 units
10 units

Answers

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

How to determine the possible length of the third side?

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

https://brainly.com/question/2403556

The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn.What is the probability that you will choose an even number

Answers

Answer:

The probability is probably about 55%

Step-by-step explanation:

Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two x-intercepts.
[tex]f(x)=x\sqrt{x+8}[/tex]

Answers

Step-by-step explanation:

f(x) = x√(x+8)

When f(x) = 0,

0 = x√(x+8)

x = 0, x + 8 = 0

x = -8

f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0

0 = √(x+8) + 1/[2√(x+8)] (x)

-2(x+8) = x

-2x - 16 = x

x = -16/3

(-8 < -16/3 < 0)

Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

37×2=74

360-74 = 286

286 ÷ 2=143

Of course, if AD and BC , and also BA and CD are even.

Help help help math math math

Answers

Answer:

adjacent

Step-by-step explanation:

share the same side

Answer:

adjacent

Step-by-step explanation:

make r the subject of this formula t=2r/r-1

Answers

[tex]t= \dfrac{2r}{r-1}\\\\\implies tr-t= 2r\\\\\implies tr -2r = t\\\\\implies r(t-2) = t\\\\\implies r = \dfrac{t}{t-2}[/tex]

The formula of r is t/t-2 for equation t=2r/r-1.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is t = 2r/r-1

t equal to two times of r divided by r minus one

We need to find the formula for r

t = 2r/r-1

Apply cross multiplication

t(r-1)=2r

Apply distributive property on left side

tr-t=2r

Subtract 2r on both sides

tr-2r=t

r(t-2)=t

Divide both sides by t-2

r=t/t-2

Hence, the formula of r is t/t-2 for equation t=2r/r-1.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Complete the missing exponent 64=4_

Answers

Answer:

64=4^3

Step-by-step explanation:

4x4x4=64. 4x4x4=4^3 as there are three 4s. Hope it helps!

The exponent is 3
Hope this helps

Help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:x=3 p=3csc (β)sec(θ)hope this helps! ;)

If 3^2x1 = 3^x+5, what is the value of X?

Answers

Answer:

2x + 1 = x + 5

x = 5-1

x = 4

Step-by-step explanation:

Which number is an irrational number?
A) 3.5
B) √ 36
C) √ 148
D)
37
—
100

Answers

Answer:

C) √ 148

Step-by-step explanation:

help!! i’ll mark u brainlinest

Answers

Answer:

Step-by-step explanation:

So because all straight lines are 180 degrees

180-32 = 148

Answer 148 degrees

I hope that helps!

Answer:

148

Step-by-step explanation:

If you add the measures of Angle BPC and Angle DPB, they will equal 180. This is because they are the two angles that make up an even bigger angle, a straight angle (Angle CPD), that equals 180 degrees. Let's solve for x now.

x + 32 = 180

x + 32 (- 32) = 180 (- 32)

x = 148

Therefore, x is equal to 148. I hope this helps! Have a lovely day!! :)

can someone pls answer both of these questions
WILL MARK BRAINLIEST

Answers

Answer:

Sorry I only know answer to the second question

That is 12000

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

A triangular garden is being
formed by bricks. The three
sides measure 4 feet, 10
feet, and 3 feet in length.
Will these measurements
result in a triangle?

Answers

Answer:

Yes

Step-by-step explanation:

If there are three measurements, then it will result in a triangle.

Find the 10th term. 10, 15,20,...

Answers

1:10
2: 15
3:20
4:25
5:30
6:35
7:40
8:45
9:50
10:55

Step-by-step explanation:

formula

an = a1 + (n - 1) d

10 = a1

15 = a2

20 = a3

n = unknown number

d = difference between each sequence

a10 = 10 + (10 - 1) 5

a10 = 10 + (9)5

a10 = 10 + 45

a10 = 55

help. will give brainliest. please hurry!!! <3

also, please explain how to get my answer. need to show work.

Answers

Answer = 504 m2
Proof is below

Which set of data is represented by the box plot? Interactivate: Box Plot Question 6 options: {1, 4, 6, 10, 12, 13, 17, 20, 21} {1, 4, 6, 10, 12, 14, 19, 20, 25} {4, 5, 8, 10, 15, 17, 19, 20, 25} {1, 4, 6, 7, 8, 9, 10, 12, 25}

Answers

To identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

What is a Box Plot?

If you identify the five-number summary of a data set, you can easily draw a box plot, because the values of each of the five-number summary is exactly what you are going to see on a box plot.

The min, max, lower and upper quartile, and median, which are the five-numnber summary of a data set is displayed as shown in the box plot attached below.

Therefore, to identify which data set is represnted by the box plot, find the data set that has the exact five-nunber summary of the box plot given.

Learn more about box pot on:

https://brainly.com/question/14252896

Other Questions
Based on this excerpt, what can you conclude about Confederate spy Henry Harrison?While Longstreet was holding this position, a scout, more properly a spy, was placed at his service by the War Department. His time seemed to be passed about equally within our lines and the enemy's. Harrison (such was his name) always brought us true information. There was always confirmation of his reports afterwards.While one is always suspicious that such spies give away as much as they bring and may be in the pay of both sides, it was difficult to be sure of this in Harrison's case. He went everywhere, even through Stanton's War Office at Washington itself, and brought in much. We never discovered that he sold anything against us; besides, we verified his account of himself as coming from Mississippi.Adapted from G. Moxley Sorrel, Recollections of a Confederate Staff Officer Is the following sentence true or false? When two surfaces rub, the irreg-ularities of one surface get caught on those of the other surface. first answer right gets brainliestList two Old Testament Scriptures (book, chapter, and verse) that were fulfilled with the triumphal entry of Jesus into Jerusalem.a. b. A circular ferris wheel that revolves at a constant rate once every 30 seconds. Theradius of the ferris wheel is 10 m. What is the normal force of the ferris wheel on a 10kg toddler at the very bottom of the ferris wheel? At the state fair, 2 bags of mini donuts and 4 turkey legs cost $18.50. for $13.75, you can buy 3 bags of mini donuts and 2 turkey legs.using these amounts, which system of equations can be used to find the cost of 1 bag of mini donuts? The following is a draft of a student essay. It may contain errors.Curfews: Effective and Fair? Curfews have wide support from the public, including from law enforcement and government officials. Many parents also support the idea of a government-enforced curfew. These supporters believe that keeping the youth off the streets at night will deter youth-related crime. However, curfews are not effective at stopping juveniles. First, most of the crimes committed by juveniles happen in the late afternoon when they have free time. Many believe that the crimes committed by juveniles happen at night and that the curfews prevent it. However, this isn't true. Furthermore, a government-required curfew takes control away from parents. Parents should be able to decide what is best for their children, but an enforced curfew takes this power away. The idea of a curfew assumes that many youths will be committing crimes or participating in unsafe activities. But many young people are trustworthy and do not need an enforced curfew. This only creates tension between law enforcement and juveniles. This could be viewed as a lack of trust between law enforcement, the government, and youths. If a curfew is enforced, the people that put it in place should take all young people into account, not just those they fear will commit crimes or engage in hazardous behavior.Which sentence would be the best introduction to the essay?A. Local communities have implemented nightly curfews in order to prevent juvenile crime. B. Curfews, or specific times one must remain at home, are effective for preventing crime. C. Juveniles are still going to commit crimes even when law enforcement puts a curfew in place. D. Curfews, which are supposed to prevent crime, do not result in the intended outcome. Which of the following is a renewable source of energy?Tick one box.A bio-fuelB coalC natural gasD oil Which of the following is NOT a characteristic of a plane?A. thicknessB. widthC. flat surfaceD. length Diego's soccer team played in a tournament. The tournament started at 8:07 A.M. It ended at 3:44 P.M. How long did the soccer tournament last? A car of mass 1200kg moving 90km/hr is brought to rest over a distance of 20m. calculate breaking force. 18. When considering the rococo style, what is one thing that is representative of this style? Question below......... Please help, has t toy cars. Zachary has 3 times as many toy cars as Oliver. Write an expressionthat shows how many toy cars Zachary has. Which characteristic is MORE LIKELY to be shared by members of the same ethnic group than members of the same religious group?Acommon physical appearanceBcommon system of beliefsCcommon moral codeDcommon rituals solve each of the following equations 1)x+8-15 Based on the lengths of the segments in the hyperbola below, how long is the dashed line? Show your work. (a) what is the approximate ductility (%el) of a brass that has a yield strength of 230 mpa (33360 psi)? any1 wants to b my fwiend?:( Marley bought four bandannas for $3.00 each and two shorts for $15.00each. If she pays 8.5% sales tax on her purchase, what is her total cost? Based on the poems, which inference about solitude is most valid?1. Nature provides a comforting source of companionship for those who live in solitude.2. Solitude offers freedom from responsibility and the empowerment of self-sufficiency.3. Some are content in the simplicity of solitude while others long for human connection.4. Years spent in solitude often lead to bitter regret or can cause early death from despair.