PQ and QR are 2 sides of a regular 12-sided polygon. PR is a diagonal of the polygon. Work out the size of angle PRQ. You must show your working.

Answers

Answer 1

Answer:

15°

Step-by-step explanation:

A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.

A regular 12-sided polygon is a polygon with 12 equal sides and angles.

The sum of interior angles of a polygon is given as:

sum = (2n - 4)90; where n is the number of sides of the polygon

For a 12 sided polygon:

Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°

Therefore since all the angles are equal, each angle = 1800° / 12 = 150°

Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x

Therefore in triangle PQR:

∠PQR + ∠PRQ + ∠QPR = 180°

150 + x + x = 180

150 + 2x = 180

2x = 30

x = 15°

∠PRQ = 15°

PQ And QR Are 2 Sides Of A Regular 12-sided Polygon. PR Is A Diagonal Of The Polygon. Work Out The Size

Related Questions

‼️‼️‼️HELP ILL MARK YOU BRAINLEST ‼️‼️‼️

a shirt normally sells for $25. a sales tax of 8% is added to the shirt. what is the total cost of the shirt including the tax

a)20.00

b)$2.00

c)$27.00

d)$23.00

Answers

Answer:

C.$27.00

Step-by-step explanation:

First, you have to multiply the percentage by the starting number, 8%*25 = 2;

Then you have to add that answer (2) to the starting number (25), 25+2 = 27;

So the total cost of the shirt would be $27.00.

I need to find the value of x. Help please

Answers

Answer:

[tex]x=68[/tex]

Step-by-step explanation:

In the figure, we shown all four exterior angles of the polygon. The sum of the exterior angles of any polygon is equal to [tex]360^{\circ}[/tex].

Therefore, we have:

[tex]79+(x+10)+(x-1)+(2x)=360,\\79+x+10+x-1+2x=360,\\88+4x=360,\\4x=272,\\x=\boxed{68}[/tex]

X=68 is the correct answer to your question

by rounding to one significant number, estimate the answer to these questions:

a) 687x164
b) 476x2354
c) 8612x1497

Answers

Answer:

a) 140000

b) 1000000

c) 9000000

Step-by-step explanation:

a) 687x164

700 * 200 =140000

b) 476x2354

500*2000=1000000

c) 8612x1497

9000*1000=9000000

What is an equation of the line that passes through the points (-5, -1) and (5, 3)?

Answers

So two co-ordinates are (2,-5) and (0,-3)

First obtain the gradient (slope) by (y2-y1)/(x2-x1) so (-3–-5)/(0–2) so 2/-2 = -1

So the first part of the equation is y=-x.

Then to find out how many you need to + or - just calculate it:

In (2,-5), -x is -2. To get to -5 you need to subtract another 3, hence y=-x-3. It shouls be the same in the other co-ordinate (0,-3) if I’ve done it right: -x = 0. Subtract 3 for -3.

So y = -x - 3 should do it.
3.4K views





Related Questions (More Answers Below)

encontrar la x y explicar el resultado

[tex]\sqrt{2x+6} = 2[/tex]

Answers

2x=4-6 we switched the variable
2x=-2 divided equation by two on each side
X=-

Suppose you are the owner of a sari sari store and you have 8 pieces of different canned goods [ligo,555,mega young`s town,master,saba,blue bay,and century] and you are only allowed to display 7 canned goods on the shelf list down all the possible combinations?


Help me with this plss
Thank you♥

Answers

This question using the combinations concept, as the order in which the canned goods are displayed is not important. Thus, using the combinations formula, we get 8 ways, which are:

555,mega, young`s town,master,saba,blue bay,and centuryligo,555,mega, young`s town,master,saba,blue bayligo, mega, young`s town,master,saba,blue bay,and centuryligo, 555, young's town, master,saba,blue bay,and centuryligo,555,mega, master, saba, blue bay,and centuryligo,555,mega, young`s town,saba,blue bay,and centuryligo,555,mega, young`s town,master,blue bay,and centuryligo,555,mega, young`s town,master,saba, and century.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

7 from a set of 8, so:

[tex]C_{8,7} = \frac{8!}{7!1!} = 8[/tex]

8 possible ways, in which each way we remove one of them, in the list given above.

A similar problem is found at https://brainly.com/question/23302762

PLEASE HELP IM SORRY THE PIC IS BLURRY I NEED TO PASS SUMMER SCHOOL

Answers

Aswer:

c represnt the function hope it helps you make me brainlest pls

Please help me with this.​

Answers

9514 1404 393

Answer:

  A, C, D, G

Step-by-step explanation:

The independent variable is plotted on the horizontal axis. If you want to find out what it is, read the axis label.

The dependent variable is plotted on the vertical axis. If you want to find out what it is, read the axis label.

To find the distance from home at some time, look up that time on the horizontal axis, and read the corresponding distance value from the graph. The maximum distance from home is the peak value of the graph.

"Stopping" means that distance doesn't change, even while time continues to increase. The curve is horizontal where the person is stopped.

What is the solution

Answers

Answer:

(3,2)

Step-by-step explanation:

If you look at the x-axis it 3 to the right and your y-axis is 2 up and so the pair is (x is first, y is second) so it (3,2).

A music store sells electric guitars in 3 colors and 2 sizes. How many different guitar can you buy

Answers

Answer:

the answer is 6

Step-by-step explanation:

3 times 2 equals 6

A carnival game gives players a 25% chance of winning every time it has played a player plays the game four times let XP the number of times a player wins in for place what is the most probable value of X what is the probable that the player will win at least once

Answers

Answer:

0.6836 = 68.36% probability that the player will win at least once.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% chance of winning

This means that [tex]p = 0.25[/tex]

Plays the game four times

This means that [tex]n = 4[/tex]

What is the probability that the player will win at least once?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836[/tex]

0.6836 = 68.36% probability that the player will win at least once.

Place the angles in order from largest (at the top) to smallest (at the bottom).

Answers

Answer:

∠A

∠B

∠C

Step-by-step explanation:

Place the angles in order from largest (at the top) to smallest (at the bottom).

∠A

∠B

∠C

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, acute, obtuse, scalene and right angled triangle.

If two sides of a triangle are unequal, then the value of the angles opposite to these sides are unequal, and the greater angle is that which is opposite to the greater side.

BC > AC > AB

Therefore the angles opposite are proportional to this sides. Hence:

∠A > ∠B > ∠C

en un salón para eventos (con 4 patas) y banquillos (con 3 patas). si hay x sillas y y banquillos,¿cuántas patas podrías contar en total?


ayuda porfa es para ahora ​

Answers

Could you translate this to English

23.45+ 435.1 =??? plz help me​

Answers

Answer:

458.55

Step-by-step explanation:

23 + 435 = 458

.45 + .1(0) = .55

458 + .55 = 458.55

.1 is .10 (Think of it as a 10)

Which statement describes the graph of f(x) = 4x2 + 20x + 25?

The graph does not intersect the x-axis.
The graph touches the x-axis at (–2.5, 0).
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
The graph intersects the x-axis at (2, 0) and (5, 0).

Answers

Mark brainlest please


Answer

The graph intersects the x-axis at (2, 0) and (5, 0).

Answer:

D

Step-by-step explanation:

Which algebraic expression represents the phrase "four times a number"?
O4 + c
Oc-4
O 4-0
O 40

Answers

Answer:

O 40

Step-by-step explanation:

because if you are doing algebra the term for a number is a letter and instead of doing 4xO you substituted to 4O

Which weights are within 2 standard deviations of the mean? Select three options.

Answers

Answer:

8.9 lbs

9.5 lbs

10.4 lbs

are correct three options for this

Step-by-step explanation:

but u should give options too

It took me a long time to find the answer from book..

so If you had given options, I would not have spent so much time to find the ans..

From the next time you have to take care of it okay

seeya !! (◕ᴗ◕✿)

How do you solve this?

Answers

Answer:73825

Step-by-step explanation:

Shuts shield grid

Answer:

[tex]j=8[/tex]

Step-by-step explanation:

Special right triangles:

The sides of all 30-60-90 triangles are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side directly opposite to the 30 degree angle.

Since the base of the triangle is directly opposite to the 30 degree angle, the hypotenuse, j, must be equal to [tex]4\cdot 2=\boxed{8}[/tex]

Basic trig:

[tex]\sin 30^{\circ}=\frac{4}{j},\\j=\frac{4}{\sin 30^{\circ}}=\boxed{8}[/tex]

What are the areas please

Answers

1. 105 units²

2. 78 units²

Step-by-step explanation:

1.

Since the middle is a square, the base of all 4 triangles are equal.

Let x be the height of the triangles.

The height of the triangle can be defined as:

15 = 7 + x + x

15 = 7 + 2x

15 - 7 = 2x

x = 8/2

x = 4

Area = area of square + 4(area of triangle)

= (7 x 7) + 4(1/2(7)(4))

= 49 + 56

= 105 units²

2.

Area = area of triangle + area of rectangle

area of triangle = ½ x base x height

base = 4 + 4 + 4

= 12

height = 15 - 6

= 9

area of triangle = ½ x 12 x 9

= 54 units²

area of rectangle = 6 x 4

= 24 units²

Area = 54 + 24

= 78 units²

Which of the following functions is graphed below?

Answers

Answer:

Step-by-step explanation:

The answer is D because the parabola is an empty circle and is positive which would mean its greater than 1 and the line has a solid point and is negative which means less than or equal to.

This is another one same thing but not the same problem

Answers

#1 is a. 11.25

#2 is h. 375

#3 is B 82.50

NEED HELP! Which of the following points are in the third quadrant of the xy-plane? Check all that apply.

A. (4,8)
B. (-4,-2)
C. (6,-2)
D. (-7, 6)
E. (-2,-8)
F. (2, 2)

Answers

Answer:

B. (-4,-2)

E. (-2,-8)

Step-by-step explanation:

Quadrant three has a negative x and negative y.

In a Survey of 500 people , 350 people dank only one drink. 60 people dink none them. Find the number of people who drink both ,

Answers

Answer:

90

Step-by-step explanation:

350+60= 410 & 500-410=90

Answer: The number of people who drank both is 90

This is because we need to subtract 350 people from 500 people, because we know that they didn't drink the drink. We have 150 people left. Another 60 people don't drink the drink at all, so we need to subtract that from the remaining 150 people left. We get the solution of 90 people who could only have drank both drinks based of of the givens you have provided.

A line has equation y= −2/3 x-4.Write down the gradient of the line.

Answers

-2/3 because y=Mx+b and u already have everything so yeah I’m sure of my answer hope that helps !!

Answer:

y = mx + c ... linear graph

y = -2/3x - 4

the gradient is -2/3

who was found the math​

Answers

Answer:

Math is not discovered, It's Invented.

[tex]\color{red}{==========================}[/tex]

✍︎ʜɴǫɴ

✍︎ʀʀʏɴʟʀɴɪɴɢ

Two jackets have a combined cost of $98. Jacket a costs $12 less than jacket b. How much does each jacket cost?

Answers

Answer:

Jacket A costs 43$

Jacket B costs 55$

Step-by-step explanation:

According to the Question,

Given, Two jackets have a combined cost of $98. Jacket 'A' costs $12 less than jacket 'B'. Thus, if the jacket B Cost 'X' So, Jacket A costs 'X-12'.

Therefore, Jacket A + Jacket B = 98

X-12+X = 98

2X = 110

X = $55 ( Cost of jacket B) & Cost of Jacket A is 55-12 = 43$ .

The difference between an observational study and an experiment is that:


A. in an observational study, only one group is studied, and in an experiment, two groups are studied.
B. in an observational study, the researchers do not control treatment, and in an experiment, they do.
C. in an experiment, cause-and-effect is analyzed, and in an observational study, it is not.
D. in an experiment, one group is studied over a short period of time, and in an observational study, the group is studied over a longer period of time.

Answers

Answer:

B

Step-by-step explanation:

An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable

Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying  to control or influence the population

Find x. Round your answer to the nearest tenth of a degree

Answers

Answer:

58.3

Cos(x) = adjacent / opposite

Cos(x) = 10/17

Sin(x) = 0.59

Sin-1(0.59) = 53.8

x equals 58.3 degrees

What is the vertex of the parabola with the equation y
3x2 + 2x – 8?

Answers

Answer:

Step-by-step explanation:

If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:

[tex]3x^2+2x=8[/tex] Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:

[tex]3(x^2+\frac{2}{3}x)=8[/tex]. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.

[tex]3(x^2+\frac{2}{3}x+\frac{1}{9})=8+\frac{1}{3}[/tex] to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get

[tex]3(x+\frac{1}{3})^2=\frac{25}{3}[/tex] Now we move the constant back over and set the parabola back equal to y:

[tex]y=3(x+\frac{1}{3})^2-\frac{25}{3}[/tex] which shows us that the vertex is

[tex](-\frac{1}{3},-\frac{25}{3})[/tex]

find the area of the Shaded sector. round to the nearest hundreds place
PLS HELP​

Answers

Answer:

92.99 units squared

Step-by-step explanation:

area of a circle is

[tex]\pi \times {r}^{2} [/tex]

just multiply that by 74/360, the fraction of a full circle we got here

Other Questions
For each of the following situations involving annuities, solve for the unknown. Assume that interest is compounded annually and that all annuity amounts are received at the end of each period.-interest rate, and n number of years EV of $1, PV of $1, EVA of $1 PVA of $1, EVAD of $1 and PVAD of $ Use appropriate factor(s) from the tables provided. Round your final answers to nearest whole dollar.Present Value Annuity Amount i = n =1. ___________ $2,600 8% 52. 507,866 135,000 ___ 43. 661,241 170,000 9% ____4. 540,000 78,557 ___ 85. 230,000 _____________ 10% 4 Congratulate your younger brother by email as he has won the first prize in an interschool debate competition. Find the area for me pls The negative of He bought some cow's change into negative Which expense category will most likely be changed to allow money for the purchase of a car?O savingsgroceriesOutilitieso entertainment Read the scenario about a formal discussion.When presenting her point of view in a group discussion, Jamie supports her ideas with facts from sources. She also responds fully to other peoples opinions and asks insightful questions. However, she frequently interrupts other speakers.Which skill should Jamie improve to become more effective at participating in a formal discussion?understanding social cuesacknowledging others viewpointscoming to the discussion prepared posing questions thoughtfully Prithivi narayan shah was democratic king in the history of Nepal ,how?Give logics to this statement. You are a member of an alpine rescue team and must get a box of supplies, with mass 2.50 kg, up an incline of constant slope angle 30.0 so that it reaches a stranded skier who is a vertical distance 3.50 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00x102. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s Use the work-energy theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier. Express your answer numerically, in meters per second.1. How to approach the problem 2. Find the total work done on the box 3. Initial kinetic energy 4. What is the final kinetic energy? mily is booking plane tickets online. Which expression best describes her activity?A. la llamada telefnica a la compaaB. ir a la pagina de reservas por InternetC. visitar la agencia de viajeD. ir a la oficina de turismo para obtener informacin A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 150 pound requires 144 milligrams of medicine. what is the weight of a patient who requires 174.72 milligrams of medicine Doughnuts are sold in bags and cartonsA bag holds four doughnuts and a carton holds ten doughnutsTom buys B bags of doughnuts and C cartons of doughnutsHe buys a total T doughnutsWrits down a formula for T in terms of B and C mDEF = __because they are_________ How was Julius Caesar viewed by MOST Roman citizens?A. He was feared by nearly everyoneB. He was extremely popular, especially with the lower classesC. He was despised as a ruthless dictator Which statements describe elements or characteristics of a typical fable? Select three options.Fables typically use exaggeration.Fables are typically short.Fables typically have animal characters.Fables typically teach a lesson.Fables typically use ridicule. What must you do when you reach a steady yellow traffic light? help please asap just the answersa = 2 ; b = 1 and c = 3 (a+b)=hihihihihihihihiihihihi You must always test blood sugar after every meal? Select the two values of x that are roots of this equation. x2 + 3x - 3 = 0 A. X- 2 B. X = -3 +721 2 C. x. -3-1D. x. -3-17 Which process results in the formation of two identical daughter cells