Find the value of x please I need help

Find The Value Of X Please I Need Help

Answers

Answer 1

Answer:

Step-by-step explanation:

113+90+90+12x+7=360(sum of four angles is always 360 degree)

300+12x=360

12x=360-300

x=60/12

x=5

Answer 2

Answer:

X = 5

Step-by-step explanation:

Shapes with 4 sides have angles that add to 360 degrees

So you have two right angles and 113 degrees.

This is

90+90+113=293

360-293=67

12x5=60

60+7=67

This means that x=5


Related Questions

1. You and your friend mix water and citric acid. You add 3 cups of citric acid for every
16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose
mixture is more acidic?

Answers

Answer:

Mine will be more acidic

Step-by-step explanation:

16 cups × 12 cups

192 cups

For me: 3 citric acid every 3 cups

192÷16= 12

12×3= 36

Friend:

192÷12=16

16×2=24

Point B is on line segment AC. Given AC = 20 and BC = 16, determine the length AB

Answers

Answer:

Answer is AB=AC-BC

20-16=4

Anna's class has already collected 74 cans for the annual canned food drive. Her class
must collect more than 200 cans to reach their goal. The class plans to collect 15 cans
each day. Which inequality shows the number of additional days, d, Anna's class
needs to reach the goal?
CLEAR
15d + 74 > 200
15d - 74 > 200
15d + 74 > 200
150 – 74 > 200

Answers

Answer:

15d + 74 > 200

d > 8.4 days

Step-by-step explanation:

Total cans needed = over 200

Number of cans they have = 74

Number of cans needed per day = 15

Number of days = d

The inequality is

74 + 15d > 200

Also written as

15d + 74 > 200

15d > 200 - 74

15d > 126

d > 126/15

d > 8.4 days

Answer:

15d + 74 > 200

d > 8.4 days

Step-by-step explanation:

Total cans needed = over 200

Number of cans they have = 74

Number of cans needed per day = 15

Number of days = d

The inequality is

74 + 15d > 200

Also written as

15d + 74 > 200

15d > 200 - 74

15d > 126

d > 126/15

d > 8.4 days

Jorge's friend Anna planted a garden with the same ratio of tulips to daisies. Anna's garden has 21 tulips. How many total flowers are in Anna's garden?

Answers

Answer:

48 flowers

Step-by-step explanation:

Since, the ratio of tulips to daisies are the same.

Hence, if we have x number of daisies, then the number of tulips will also be x.

Therefore, with number of tulips being 21 and equal ratio of daisies will also mean that Anna has 21 daisies .

The total number of flowers will be :

Number of tulips + Number of daisies

21 + 21 = 42 flowers


[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex] \sqrt{25 \times 25} [/tex]
[tex] \\ \\ \\ \\ [/tex]

Answers

[tex] \sqrt{625} [/tex]

[tex] \sqrt{25 \times 25} \\ \\ = 25[/tex]

Hope This Helps You

There are 29 students in Mrs. Dixon's science class. On the last test, only 1 student earned the median score of 84.
How many students scored an 84 or lower?

A - 15
b - 14
C - 13
D - 12

Answers

Answer:

A

Step-by-step explanation:

Median can be described as the number that occurs at the middle of a set of observations.

for example, in the set of numbers, 1 2 3 4 5, the median is 3

median = (first number + last number) / 2

If there are 29 students,

median = (1 + 29) / 2 = 30/2 = 15

the 15th students scored 84

and students between 1 - 14 scored lower than 84

so, 15 students scored an 84 or lower

What is the volume of the solld figure that has a helght of 11 feet and the following base?

volume___ft 3

Answers

Step-by-step explanation:

Area is 2D, and Volume is 3D

volume is L x W x H

area is L x W which has already been given to you so you just need to use the height given to you

38.28 x 11

Write the factored form of each trinomial.
x^2 + 11x +28

Answers

Answer:=

=(x^2+4x)+(7x+28)

=x(x+4)+7(x+4)

=(x+4)(x+7)

Step-by-step explanation:

Answer:

[tex](x+4) (x+7)[/tex]

Step-by-step explanation:

Factor x^2 + 11x + 28 using the AC method.

I NEED PLEASE IT WOULD REALLY HELP ME ALOT !!


NO LINK OR ZOOMS

Answers

Answer:

C

Step-by-step explanation:

Don't worry about the volume to start with. Just look at the area of the top or bottom.

The hole has a 4 inch diameter

d = 4

r = d/2

r = 2

Area = pi r^2

Area = pi * 2^2

Area = 4 pi

Now find the area of the top (or bottom) if the circle was not there.

L = 8

W = 6

Area = L * W

Area = 8 * 6

Area = 48

Now take away the area of the circle.

Area Top = 48 - 4 * pi

Area Top = 48 - 12.56

Area Top = 35.44

Finally, Find the volume

Volume = area of the top * height

Volume = 35.44 * 15

Volume = 531.6

Beth is flying a kite with 300 feet of string. The kite gets stuck in a tree, so she ties the other end of the string to a rock on the ground making the string taut. The angle of elevation from the rock to kite is 35 degrees. How far up the tree is the kite? Round your answer to the nearest tenth. (No links please)

Answers

Answer:

[tex] \displaystyle 172.1 ft[/tex]

Step-by-step explanation:

refer the attachment

let the string be hypotenuse and

the height be h And the angle be 35°

given that,

hypotenuse:300ftangle:35°

since we are given the hypotenuse and want to figure out the opposite side we'll use sin function

so our equation would be

[tex] \displaystyle \sin( {35}^{ \circ} ) = \frac{h}{300} [/tex]

cross multiplication:

[tex] \displaystyle h= 300 \sin( {35}^{ \circ} ) [/tex]

by using calculator we obtain:

[tex] \displaystyle h = 172.1[/tex]

hence,

about 172.1ft far up the tree is the kite

Hope this help!!!

Have a nice day!!!

1.
What are the solutions to the equation 0 = x2-x-6?

Answers

I don’t know I’m sorry

please help me i really need help

Answers

Answer:

90

Step-by-step explanation:

Answer:

LITERALLY THESE WORDS: Because it goes up 8 and over 15

Step-by-step explanation:

if the goes up 8 and over 15 that has to be the slope.

I hope this helps even though its probably not :)

How do I solve 6/10 = x/15

Answers

Answer:

the answer is 9

Step-by-step explanation:

6/10=x/15

10x=90

x=9

Hopes this helps:

Answer: x = 9

Determine if the two triangles in the image above are similar. If so, what’s the correct postulate. SSS, SAS, AA, or None

Answers

Answer:

SAS

Step-by-step explanation:

Find the sum of x^2+3x and
-2x^2+9x+5

Answers

Answer: The answer is -x^2 + 12x + 5

4.

Which explanation provides the best real-world scenario of the graph?


A. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 + 120 gives the height of the object after t seconds.

B. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 120 gives the height of the object after t seconds.

C. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 – 120 gives the height of the object after t seconds.

Answers

Answer:

C. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 – 120 gives the height of the object after t seconds.

Step-by-step explanation:

.................................The last one is the only one that makes sense according to the standard position function.  -16t^2 is the pull of gravity on an object in free fall, and the height is 120 feet above the ground.  Hopefully that's what you need since there's no graph we can refer to

....................................................Answer:

The explanation that best provides the real-world scenario is:

If an object is dropped from a height of 120 feet, the function                    

                         

gives the height of the object after t seconds.

Step-by-step explanation:

a)

If an object is dropped from a height of 120 feet, the function  gives the height of the object after t seconds.

This option is incorrect.

Since when t=0 we have:

          h(t)= -120

This is not possible as the object is above the ground and hence must have positive height initially.

b)

If an object is dropped from a height of -16 feet, the function  gives the height of the object after t seconds.

This option is incorrect.

Since a object when is dropped from some height then it must be a positive height.

Also, when t=0 we have: h(t)= 120 feet.

This means that the object is dropped from a height of 120 feet.

c)

If an object is dropped from a height of 120 feet, the function  gives the height of the object after t seconds.

In this when t=0 we have:

h(t)=120 that means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.

              Hence, this option is correct.

........................................The equation that models the movement of the object is:

 

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

 

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

.................Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

The explanation that best provides the real-world scenario is:

⇒ If an object is dropped from a height of 120 feet, the function                    

h(t) = - 16t² - 120 gives the height of the object after t seconds.

                         

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

a) If an object is dropped from a height of 120 feet, the function

h(t) = - 16t² + 120 gives the height of the object after t seconds.

Hence, This option is incorrect.

Since, when t=0 we have:

h (t) = -120

This is not possible as the object is above the ground and hence must have positive height initially.

b) If an object is dropped from a height of -16 feet, the function

h(t) = - 16t² + 120 gives the height of the object after t seconds.

This option is incorrect.

Since a object when is dropped from some height then it must be a positive height.

Also, when t = 0

we have: h (t) = 120 feet.

This means that the object is dropped from a height of 120 feet.

c) If an object is dropped from a height of 120 feet, the function

h(t) = - 16t² - 120 gives the height of the object after t seconds.

In this when t=0 we have:

h(t)=120

That means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.

Hence, this option is correct.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Is a triangle with side lengths 7cm, 24 cm, and 25 cm a right triangle? Explain.

Answers

Answer:

Step-by-step explanation:

If this is right triangle, then 2 things are fact: that the side length 25 is the length of the hypotenuse since the hypotenuse is always the longest side in a right triangle, and that Pythagorean's Theorem applies. Let's check that:

[tex]7^2+24^2=25^2[/tex] If this is a true statement, then these sides do indicate a right triangle.

49 + 576 = 625 and

625 = 625 so yes, this is right triangle by the Converse of Pythagorean's Theorem

What is the surface area of the triangular prism?

A triangular prism. The rectangular sides are 24 feet by 40 feet, 40 feet by 15 feet, and 40 feet by 15 feet. The triangular sides have a base of 24 feet and height of 9 feet.

Answers

Answer:

all of CO2 if go UC FL LG ex Vi if FC no of go on NJ TX FM NC ch UFC Vk jaa

Step-by-step explanation:

DJ ND fixUC guy if fu TX Vk kg go UC Chi UC ch UFC

Help me out please thank you ?!!!

Answers

Answer:

1) 69 2) 69 3) 60 4) 60 5) 51

Step-by-step explanation:

Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.

For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.

Hope this helps you in some way. if not, sorry i failed you.

Answers

angle 1 = 111 degreesangle 2 = 69 degreesangle 3 = 60 degreesangle 4 = 60 degreesangle 5 = 51 degrees

Be sure to use the actual degree symbol instead of typing in "degrees" after each number.

========================================================

Explanation:

To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees

The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)

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

Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary

(angle1)+(angle2) = 180

(111)+(angle2) = 180

angle2 = 180-111

angle 2 = 69 degrees

This method is used to prove the vertical angles theorem is always true.

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

Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3

y+82 = 142

y = 142-82

y = 60

angle 3 = 60 degrees

Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.

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

Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees

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

Let z = measure of angle 5

Focusing on the smaller triangle in the middle, we can say,

(angle2)+(angle4)+(angle5) = 180

(69) + (60) + (z) = 180

z+129 = 180

z = 180-129

z = 51

angle 5 = 51 degrees

I read an article saying that in the full population, there's a significant, positive correlation between the strength of your hand (grip strength) and the strength of your upper arm (arm strength). I want to see if that's true, and I have devices that can measure this accurately. I gathered a sample of average, healthy 21-year-olds and measured these two variables. My results were non-significant. Why didn't I find a significant correlation

Answers

Answer:

Restricted Range

Step-by-step explanation:

Required

Reason for insignificant correlation

From the question, we understand that the article discussed the full population while you restricted the correlation to only 21-year-olds age groups.

You left out other age groups included in the original dataset that was analyzed and reported by the article. The term that describes this act is restricted range, because other age groups are not represented in your analysis.

what's the value of x and y?​

Answers

Answer:

x = 55

y = 70

Step-by-step explanation:

since it's all sides are equal its an equilateral triangle

each angle of an equilateral triangle is 60°

therefore,

y - 10 = 60 => y = 60 + 10

y = 70

x + 5 = 60 => x = 60 - 5

x = 55

Answer:

x+5=y-10

x-y = -15

y-10+X+5+X+5=180

2x+y =180

x-y+2x+y =180-15

3x.=165

x. =55

2x+y =180

y =180-(110)

y =70

Find the product: (2 - 3i)(4 + 2i)

Answers

Answer:

(2 - 3i)(4+2i)

(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)

8 x 4i x -12i -6i^2

6i^2 - 12i x 32

Step-by-step explanation:

Answer:

6i² - 8i + 8

Step-by-step explanation:

1. Expand Brackets: 8 + 4i - 12i - 6i²

2. Simplify equation: 8 - 8i - 6i²

3. Rearrange: 6i² - 8i + 8

In a freefall skydive, a skydiver begins at an altitude of 10,000 feet. during a freefall, the skydiver drops toward earth towards earth at a rate of 175 ft per second. the height of the skydiver from the ground can be modeled using the function H(t)=10,000-175t.
What is the domain of the function for this situation?

Answers

Answer:

{[tex]t|0\leq t\leq 50[/tex]}

Step-by-step explanation:

We are given that

In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet

The skydiver drops towards earth at a rate=175 ft/s

The height of the skydiver from the ground can be modeled using the function

[tex]H(t)=10000-175t[/tex]

We have to find the domain of the function for this situation.

When t=0

Then ,[tex]H(0)=10,000 feet[/tex]

From given graph we can see that the value of t  lies  from 0 to 50.

Therefore, the domain of the function for this situation is given by

{[tex]t|0\leq t\leq 50[/tex]}

One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply. 45, 65, 30,15.

Answers

Answer:

45°

Step-by-step explanation:

(180-90)/2 = 90/2 = 45°

The answer is 45°.

Step-by-step explanation:

Hey there!

Since it is an isoceles triangle two angles must be equal.

Also, one angle is 90°. To find other angles, let's suppose one angle as "X", then next angle is also "X". {Since it is an isoceles triangle}.

Then;

x+x+90° = 180° { Sum of interior angles of a triangle is 180°}

or, 2x + 90° = 180°

or, 2x= 180° - 90°

or, 2x = 90°

or, X= 90°/2

or, X=45°.

Therefore, the other angles are 45° and 45°.

Hope it helps!

what’s the correct answer

Answers

Answer:

D

Step-by-step explanation:

Geometry//// volume of a cylinder ✨✨✨✨

Answers

Answer:

595.82 cubic feet

Step-by-step explanation:

The formula for a cylinder is pi times radius squared times height. First, you take the diameter and divide it by two to get 4.25. Now do 4.25 times 4.25 and get 18.0625.

Now multiply 18.0625 by 10.5 to get 189.65625.

Now multiply that by pi (3.14) to get 595.82 (Rounded to the nearest hundreth)

Write a polynomial in factored form that has the given zeros:
Zero at -4 with multiplicity of 2
Zero at 5 with multiplicity of 3

Answers to choose from.
1. f(x)=(x-4)^2(x+5)^3
2. f(x)=(x-2)^-4(x+3)^5
3. f(x)=(x+4)^2(x-5)^3
4. f(x)=(x+2)^-4(x+3)^5

Answers

Answer:

f(x) = (x + 4)^2*(x - 5)^3

Step-by-step explanation:

For a polynomial P(x) with zeros (or roots):

x₁, x₂, ..., xₙ

And a leading coefficient (the one that multiplies the term of highest degree) A, we can write the polynomial as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now, some of these roots can be repeated.

For example if x₁ = x₂

Then we say that the root x₁ has a multiplicity of two.

And we write the polynomial as:

P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)

Now, if we have a polynomial with the roots (or zeros):

Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)

Zero at 5 with a multiplicity of 3 (we have the root x = 5  3 times)

(And a leading coefficient A =  1, I assume)

This polynomial will be written as:

f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)*(x + 4)*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)^2*(x - 5)^3

The correct option is the third one:

The solution set of the inequality 2x – y > 2 consists of all the points ?_the line ?
O
above; y = 2x - 2
below; y = 2x - 2
above; y = -2x + 2
below; y = -2x + 2
0

Answers

Answer:

Step-by-step explanation:

HELP ME PLEASE I REALLY NEED IT!!

Find the RATIO and the EXACT VALUE of the given Sec B.​

Answers

Answer:

13/5

Step-by-step explanation:

Cos is the opposite of Sec si first find the Cos of B which is 5/13, which would mean the Sec B would 13/5.

Answer:

Step-by-step explanation:

Recall that the secant function is the reciprocal of the cosine function.  The cosine function is defined as

              adj side

cos Ф = ------------------

              hypotenuse

and so the secant function is

               hypotenuse                          13

sec Ф = ------------------  which here is --------- = sec B

              adj side                                     5

Y=-7(x+3)(x-2) in standard form

Answers

Answer:

7 x − y = 17

Step-by-step explanation:

Apply the distributive property.

y + 3 = 7 x+ 7 ⋅ − 2

Multiply  7  by  − 2 .

y + 3 = 7x − 14

Rewrite the equation with the sides flipped.

7 x − 14 = y + 3

Move all terms containing variables to the left side of the equation.

Subtract  y  from both sides of the equation.

7x−14−y=3

Move -14.

7x−y−14=3

Step-by-step explanation:

Other Questions
En 1830, la clase dirigente nacional se involucr en una conflagracin civil por la disputa del poder poltico. En este contexto, se enfrentaron en la Batalla de Lircay los ejrcitos dirigidos por Ramn Freire y Joaqun Prieto, respectivamente. El triunfo de este ltimo signific (marque una sola alternativa Beatrices science teacher gave her an unknown substance to identify based on its properties. After a few tests, Beatrice listed her observations in a chart.reflects light very wellwarms up in my handflattens out when hit with a hammerconducts electricityWhich kind of substance does Melinda have? A. metalloidB. nonmetalC. metalD. noble gas Even though the Han Dynastic period is not considered a Golden Age by historians, it is seen as very important to the Chinese people. In fact, some Chinese people today refer to the themselves as Sons of the Han. Why do you think this might be so? The radius of a circle is 12 yards. What is the circle's area? )If there are 6 builders, it takes 80 days to complete the house. How many builders must be employed to build the house in just 16 days? PLS HELP EMERGENCY!!! Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. What linear equation??NEED HELP ASAP DUE TODAY!!! PLEASE AND THANK YOU :) What is the purpose of meiosis? A(n) ________ CPU has two processing paths, allowing it to process more than one instruction at a time. Group of answer choices dual-core bimodal all-in-one dual-mode Flag question: Question 79 Question 791 pts ________ is concerned with the design and arrangement of machines and furniture to avoid uncomfortable or unsafe experiences. Group of answer choices Repetitive strain prevention Ergonomics Positioning Occupational safety In paragraph 1 of Vindication of right of women, Mary Wollstonecraft says that the result of her reading is... a profound conviction that the neglected education of my fellow-creatures is the grand source of the misery I deplore....Which element of an argument is contained in this statement? A clear thesis A conclusion A commentary A pertinent example The difference between a personal narrative and an autobiography is:a.An autobiography is about only a short part of the authors lifeb.A personal narrative is about only a short part of the authors lifec.There is no difference, they are the samed.An autobiography is written about someone else Select the two expressions equivalent to 25 . What is the equationin slope-interceptform of the line thatpasses through thepoints (20,-25) and(-8, -11)? Which tool was most likely used in a procedure if the lab report shows that 300 mL of water was used?A volumetric flaskA thermometerA pipetteA graduated cylinder what is 500+222+221 and Find the concentration of Pb2 (aq) in ppm by mass of a 1.13 L sample of contaminated water that was assayed by adding NaI(s) and obtaining 55.1x10-3 g of PbI2(s) precipitate. Assume that Pb2 (aq) is completely precipitated as PbI2(s). The molar mass of PbI2(s) is 461.01 g/mol. Assume that the density of the solution is 1.00 kg/L. Give the answer with 3 or more significant figures. A piece of wood burns to form ash. ____C_____ Water evaporates into steam. ____P_____ A piece of cork is cut in half. ____P_____ A bicycle chain rusts. _____C______ Food is digested in the stomach. _____C______ Water is absorbed by a paper towel. _____P______ Hydrochloric Acid reacts with zinc. _____C______ A piece of an apple rots on the ground. ____C_____ A tire is inflated with air. ____P____ A Plant turns sunlight, CO2, and water into sugar and oxygen. ____C_____ Sugar dissolves in water. ____C_____ Eggs turn into an omelet. _____C______ Milk sours. _____C______ A popsicle melts. _____P_______ Turning brownie mix into brownies. _____C______ The Pedigree below tracks colorblindness through a family.What does a circle represent?O FemaleO CarrierChildO Male WILL MARK BRAINLIESTWhat is the focal point of the image?Describe the surrounding area.How does the image make you feel?What do you think is the photographers purpose of this photo? The proof that point (1,3) lies on the circle that is centered at the origin andcontains the point (0, 2) is found in the table below. What is the justificationfor the 5th statement?StatementJustificationA circle is centered at (0, 0) andcontains the point (0, 2).GivenDefinition of radiusThe radius of the circle is the distancefrom (0, 0) to (0, 2).The distance from (0, 0) to (0, 2) isVO-D) +(2-0) - 127-2Distance formulaDefinition of a circleIf (1, 3) lies on the circle it must bethe same distance from the center as(0, 2).The distance from (1, 3) isVO - 1)2 - (0-3)? - v1+3 - 2Since (1, 3) is 2 units from (0, 0), itlies on a circle that is centered at theDefinition of a circle