please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.​

Please Solve The Question. Unit 10: Circles Homework 2: Central Angles, Arc Measures, And Arc Length.

Answers

Answer 1

Answer:

Step-by-step explanation:

(9x-22) + 61 + (5x-7) + 34 = 360

14x = 294

x = 21°

:::::

arc GK = 9x-22 = 167°

:::::

arc HJ = 5x-7 = 98°

:::::

arc HGK = arc GK + 61 + 34 = 262°

:::::

arc GKJ = arc GK + 34 = 201‡

Answer 2

Angles in a circle add up to 360 degrees.

[tex]\mathbf{x = 21}[/tex][tex]\mathbf{GK = 167}[/tex][tex]\mathbf{HJ = 98}[/tex][tex]\mathbf{HGJ = 262}[/tex][tex]\mathbf{GKJ = 201}[/tex]

The given parameters are:

[tex]\mathbf{GH = 61}[/tex]

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{JK = 34}[/tex]

[tex]\mathbf{KG = 9x - 22}[/tex]

The sum of angles in a circle is 360 degrees.

So, we have:

[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]

So, we have:

[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]

[tex]\mathbf{14x = 294}[/tex]

Divide both sides by 14

[tex]\mathbf{x = 21}[/tex]

GK is calculated as:

[tex]\mathbf{GK = 9x - 22}[/tex]

[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]

[tex]\mathbf{GK = 167}[/tex]

HJ is calculated as:

[tex]\mathbf{HJ = 5x - 7}[/tex]

[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]

[tex]\mathbf{HJ = 98}[/tex]

HGJ is calculated as:

[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]

[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]

[tex]\mathbf{HGJ = 262}[/tex]

GKJ is calculated as:

[tex]\mathbf{GKJ =GK + KJ}[/tex]

[tex]\mathbf{GKJ = 167 + 34}[/tex]

[tex]\mathbf{GKJ = 201}[/tex]

Read more about angles in a circle at:

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Related Questions

Bill charges 20 dollars to come to your house. He also charges 12 dollars for each hour that he works there. If the total price of Bill’s visit is $116 how many hours was he there?

Answers

Answer:

He was there for 8 hours.

Step-by-step explanation:

Which equation represent the following situation : Andre withdrew
spending money from his checking account that initially had $982. What
was the amount of his withdrawal, w, if his ending balance was $922.
O 982 - w = 922
O W - 982 = 922
O 922 - W = 982

Answers

Answer:

Try 60

Step-by-step explanation:

982-922=60

*!!!* please help me!! i’ll mark brainliest if the answer is right!

Answers

Answer

Roundworm is 9ft long and the tapeworm is 60 feet long

Step-by-step explanation:

If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)

Note: Triangle may not be drawn to scale.


Suppose a = 10 and b = 2.


Find an exact value or give at least two decimal places:


sin(A) =



cos(A) =



tan(A) =

Answers

Answer:

Step-by-step explanation:

more info

Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

What is Trigonometric function?

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

What is Pythagorean theorem?

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Given,

a = 10, b = 2

Draw the figure using the given data

Apply Pythagorean theorem to find the third side or hypotenuse

[tex]c^{2}=a^{2} +b^{2}[/tex]

[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]

c = 10.19 units

We know sin θ = Opposite side / Hypotenuse

Sin A = [tex]\frac{10}{10.19}[/tex]

sin A = 0.98

cos θ = Adjacent side / Hypotenuse

cos A = [tex]\frac{2}{10.19}[/tex]

cos A =0.20

tan θ = Opposite side / Adjacent side

tan A = [tex]\frac{10}{2}[/tex]

tan A  = 5

Hence, the Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

Learn more about Trigonometric functions and Pythagorean theorem here

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#SPJ2

FIND THE VALUE OF X PLEASE HELP ME

Answers

Answer:

x = 18

Step-by-step explanation:

4(18) = 72

2(18) - 10 = 26

4(18) + 10 = 82

72 + 26 + 82 = 180

18 the answer they were correct!! And I looked over ok let me stop with the !! I sound white well I looked over there work and it correct

Liana is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base length of 9 cm and a total area of 27 cm², what is the height?

Answers

Answer:

6

Step-by-step explanation:

Which is the equation of a line that has a slope of -7 and a Y intercept of 2

Answers

Answer:

y = -7x + 2

Step-by-step explanation:

Which inequality is true if p=3?

A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p

Answers

Answer:

D

Step-by-step explanation:

2×3 = 6 which is less than 8

15 points!!!
Write an
equation of the parabola shown.

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,


Which inequality is represented by the number line graph?

Answers

Answer:

We can also graph inequalities on the number line. The following graph represents the inequality x≤2 . The dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true.

Step-by-step explanation:

your welcome

Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20​

Answers

Answer:

OC

Step-by-step explanation:

3(b-2)

3(10-2)

3(8)

24

Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable

Answers

Answer is in the file below

tinyurl.com/wpazsebu

The diameter of a circle is 100cm what is the circumference of the circle use 3.14 for​

Answers

Given diameter (D) = 100

Radius = D/2 = 50

Circumference = πD

= 100π

= 314.15926535898

whats 3/2 divided by 8/3 in fraction form

Answers

Answer:

9/16

Step-by-step explanation:

3/2 / 8/3 =

3/2 x 3/8 = 9/16

Hope that helps!

Find the area of the shaded region

Answers

I think it could be b

Answer:

A

Step-by-step explanation:

8-6=2

6×2=12

12×2=24

Put your answer in cm^2

The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?

A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these

Answers

sum is the answer to addition problem.

less than is subtraction and "times" is multiplication.

So we have

3x+2=5x-4

So the answer is C.

Also, i'm bored so imma solve it.

3x+2=5x-4

    -2      -2

3x=5x-6

-5x -5x

-2x=-6

/-2   /-2

x=3

---

hope it helps

the given is a square pyramid. The side length of the base of the pyramid is 28 millimeters. The volume of the pyramid is 1296 cubic mm. What is the height of the pyramid​

Answers

Hi! the answer is 2+[8x1296] because you break the 28 and the 1296 stays the same

Answer please .Give an explanation so I know ur not just getting points so I dont report. Thank you!

Answers

9514 1404 393

Answer:

  B.  1.5 = 2p

Step-by-step explanation:

If p is the fraction of the price of a pizza, then 2p is the actual value of that fraction. We're told that is equal to the price of a hotdog, so ...

  2p = 1.5

or

  1.5 = 2p . . . . . . matches choice B

_____

Additional comment

Some of us would "cut to the chase" and compute the fraction directly:

  p = (price of hotdog)/(price of pizza) = 1.5/2

No such choice is offered, so the next best is the equation you get when you  multiply this by 2:

  2p = 1.5

Which pair shows equivalent expressions?

A. 2x+10=-2(x-5)
B. -2(x-5)=2x-10
C. -2x-10=-2(x+5)
D. -2(x-5)=-2x-10

Answers

im pretty sure its a and c but if it cant be both of them then u or ur teacher probably wrote one of them wrong

Answer:

its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.

5/8÷1/3 do you now the answer ​

Answers

Answer:

15/8  

Step-by-step explanation:

This is a fraction so when dividing fractions you can multiply by the reciprocal.

5/8*3/1= 5*3/8*1 = 15/8  

plz help me with this problem

Answers

Answer:

2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11

Step-by-step explanation:

To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11

PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left ​$1.10 as a tip. The tax was 4% and the tip was 10​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Answer:

all info is needed  answer of the total bill is:275 us

Step-by-step explanation:

10x1.10=11= tax

100/z=4/11

275

A $24,000 car depreciates at a rate of 15% annually. What is that average rate of change from year 6 to year 10?

Answers

It would be 2,760 I’m pretty sure you just need to do the maths like multiple division add

Represent the following Percent as a decimal, 87.5%

Answers

So with converting percentages to decimals you move where the decimal is 2 spots to the left of the number so in this case it would be .875
0.875
Hope this helps!

What is the second step in solving the following equation?
-3x + 5 = 20

Subtract 5 from both sides

O Divide both sides by-3

o add 3x to both sides

O Divide both sides by 3

Answers

divide both sides by -3

use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7​

Answers

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be  

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

--Please help, ill give 30 points and brainiest if your correct!!--

Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2

Answers

Answer:

The amount in table as positive negative numbers: -5, 4, -1, 3, -2.

The spinner lands on red the change to Lisa's amount of money is -$5.

Step-by-step explanation:

Consider the provided table.

Part(A)

The table list how much a player receives or pays for various.

Paying some money is represented by a negative sign while receiving money is represented by a positive sign.

For red they needs to pay $5 which can be written as -5.

For blue they received $4 which can be written as 4.

For yellow they needs to pay $1 which can be written as -1.

For green they received $3 which can be written as 3.

For orange they needs to pay $2 which can be written as -2.

So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.

Part(B)

Now, we need to describe the change to Lisa’s amount of money when the spinner  lands on red.

If spinner lands on red then she needs to pay $5.

Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.

Find three rational number between 2/3 and 3/4.
First pls​

Answers

Answer:

21/30, 22/30, 23/30

Step-by-step explanation:

Evaluate the following integral using trigonometric substitution
Integral underroot dx/ 9-x^2

Answers

Answer:

The result of the integral is:

[tex]\arcsin{(\frac{x}{3})} + C[/tex]

Step-by-step explanation:

We are given the following integral:

[tex]\int \frac{dx}{\sqrt{9-x^2}}[/tex]

Trigonometric substitution:

We have the term in the following format: [tex]a^2 - x^2[/tex], in which a = 3.

In this case, the substitution is given by:

[tex]x = a\sin{\theta}[/tex]

So

[tex]dx = a\cos{\theta}d\theta[/tex]

In this question:

[tex]a = 3[/tex]

[tex]x = 3\sin{\theta}[/tex]

[tex]dx = 3\cos{\theta}d\theta[/tex]

So

[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}[/tex]

We have the following trigonometric identity:

[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]

So

[tex]1 - \sin^{2}{\theta} = \cos^{2}{\theta}[/tex]

Replacing into the integral:

[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C[/tex]

Coming back to x:

We have that:

[tex]x = 3\sin{\theta}[/tex]

So

[tex]\sin{\theta} = \frac{x}{3}[/tex]

Applying the arcsine(inverse sine) function to both sides, we get that:

[tex]\theta = \arcsin{(\frac{x}{3})}[/tex]

The result of the integral is:

[tex]\arcsin{(\frac{x}{3})} + C[/tex]

Help pls I don’t understand this my teacher didn’t teach this

Answers

Answer:

x = 60

Step-by-step explanation:

The tip of the triangle's angle is 100 (b/c 180-80)

x + 100 + 20 = 180

x + 120 = 180

x = 60

Answer:

Step-by-step explanation:

X=60

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