11. In circle H, if mDHG = (11x - 36)* and mGHF = (x + 12), find mDG.

11. In Circle H, If MDHG = (11x - 36)* And MGHF = (x + 12), Find MDG.

Answers

Answer 1

mˆDG=151∘

An arc’s length means the same commonsense thing length always means — you know, like the length of a piece of string

Answer 2

The measure of angle ∠DHG of the circle is = 151°

What is Central Angle?

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of angle ∠DG of the circle be A

Now , the value of A is

Let the measure of m∠DHG = ( 11x - 36 )°

The measure of m∠GHF = ( x + 12 )°

And , the angles m∠DHG = m∠EHF ( vertically opposite angles )

And , the angles m∠GHF = ∠DHE ( vertically opposite angles )

So , 2 ( ( 11x - 36 )° + ( x + 12 )° ) = 360°  ( total angle of a circle = 360° )

On simplifying , we get

2 ( 12x - 24 ) = 360

Divide by 2 on both sides , we get

12x - 24 = 180

Adding 24 on both sides , we get

12x = 204

Divide by 12 on both sides , we get

x = 17

Now , the measure of m∠DHG = ( 11x - 36 ) = 151°

Hence , the measure of m∠DHG  of circle is 151°

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Related Questions

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Rearrange the parts of the parallelogram to form a rectangle. Find the area of ​​the parallelogram and the area of ​​the rectangle. How are the areas related?

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Answer:

What's the question?

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A. negative reciprocals
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Answer:

A. Negative reciprocals

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1. We would like to know if Intel's stock and Southwest Airlines' stock have similar rates of return. To find out, we take a random sample of 50 days for Intel's stock and another random sample of 50 days for Southwest's stock.

a. Paired
b. Not Paired

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a. Paired
b. Not Paired

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Answers

Answer:

1. Can be Paired or Not Paired

2. Paired

3. Not Paired

Step-by-step explanation:

Two sets of observations are paired if each observation in one set has a special correspondence or connection with exactly one observation in the other data set.

1. Can be Paired or Not paired

Reason -

We might look at testing the difference of means using a two sample t-test. However, we may also try running a paired t-test.

But its used in cases where the observations are usually from the same populations at different times or through different sources etc.

Hence can't conclude that it is paired or not paired.

2. Paired

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Each record is a price of the same item from different stores.

3. Not paired

Reason -

This is again a case of testing the difference of means of two-samples (2 independent samples precisely) that are not paired.

1. Can't conclude paired or not paired

2. Paired

3. Not Paired

What do you mean by paired or unpaired?

Two sets of observations are said to be paired if each observation in one data set has a specific connection with exactly one observation in the other data set otherwise it is unpaired.

1. Can't conclude paired or not paired because It may look at testing the difference of means using a two-sample test, But it's used in cases where the observations are from the same populations at different times or through various sources, etc.

2. Paired because each item is the price of the same item from different stores.

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Answer:

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Step-by-step explanation:

answer = 250 per hour (X) + 45

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Answer:

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go back 3 for x

and down 1 for y

ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY ​​IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE ​

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Answer:

90mm cubed

Step-by-step explanation:

Answer:

90 mm³

Step-by-step explanation:

V = area of base multiplied by height

base in this example is the triangle, which has an area of 15/2 or 7.5

height = 12

12 x 7.5 = 90

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9514 1404 393

Answer:

  27

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it subtends.

  ∠P = (RT)/2

  ∠P = 54/2

  ∠P = 27

How much lemon juice must be added to 4 litres of water to make a lemonade
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.8 liters of lemon juice.
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Answer:

C

Step-by-step explanation:

1/2bh is the formula for the area of a triangle

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9 x 19 = 171

then multiply by 1/2 or divide by 2

171/2 = 85.5 or 85 1/2

Ron has 10 marbles that are the same size and
shape in a bag. Of these, 4 are blue and 6 are
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Answer:

??

Step-by-step explanation:

Name
Austin - 4-12-21
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2. 8
3. 4
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Answers

Each one is just that whole number over one.

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Answers

Answer:C

Step-by-step explanation:

The expression that most adequately expresses the model would be:

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A fraction is described as an expression employed to denote a segment or section belonging to a larger whole.

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Since the division of 2 is made thrice, it gives 3 × 2/5 which makes the third option the correct one.

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Answers

Answer:

30 minutes

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Answer:

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You have to multiply.

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[tex] {5}^{2} [/tex]

You have to multiply 5x5 because it says

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Ezra is finding the perimeter of different-sized regular pentagons. There is a proportional relationship between the side length of the regular pentagon in inches, x, and the perimeter of the regular pentagon in inches, y.
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y=

Answers

Answer:

Step-by-step explanation:

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A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

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The equation given in the problem is

y = 5x

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the perimeter of the regular pentagon in inches, y

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You are the coach of the girls’ basketball team at a local middle school. It is the fifth game of the season, the game is tied, and there are only 5 seconds left on the clock. The referee has called a technical foul on the other team. You get to choose any one of your girls to take the shot. Basing your decision only on on their free-throw shooting thus far this season, whom would you pick, Becky or Rachel? Becky has made 8 of 12 free throws. Rachel has made 15 of 20 free throws.

Answers

Answer: Becky I guess

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Express 0.009 as a percentage​

Answers

0.9%, you move it over to the left by 2

0.009 = 0.9%

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Answer:

c=4

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C=4.

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Answer:

y=2-e^(1-x)

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2-y=e^(-x-c)

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Answers

Answer: X= 57/2

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Answer:

x = 28.5

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3. -4x from both sides

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Give me brainllest

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Okay so C is 55 and The other angle vertical from the 62 is also 62 so add those up and subtract from 180 you would get 63

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Answer:

63°

Step-by-step explanation:

i=62° f+i=125° 125-62=63

I WILL REWARD BRAINLIEST TO CORRECT ANSWER!!!

Answers

slope is how much a graph increases or decreases and is found by counting to the right or left (x axis) and up or down (y axis)

intercepts are determined where points are on the y or x axis and are y = mx + B (it is b)

linear functions and equations can be graphs by y = mx + b or y = mx

a country has a national debt of $6x10^12. if the population of the country is 300 million people, how much will it be for every man, women, and child in the country?

Answers

Answer:

$20000

Step-by-step explanation:

6*10^12/ 300 million

Based on the scatter plot above, describe the relationship between the moves and the score of the Solitaire game.

Answers

Answer:

The moves and score have an inverse linear relationship. The more moves the person makes, the lower their score. The less moves the person makes, the lower their score.

Step-by-step explanation:

Find the sum of the first 36 terms of the following series, to the nearest integer.
13, 19, 25,

Answers

Answer: 15

Step-by-step explanation:

Answer:

i concluded that it's 4248

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Answer:

it's a black image theres no line

As part of a study of corporate employees, the director of human resources for PNC, Inc. wants to compare the distance traveled to work by employees at its office in downtown Cincinnati with the distance for those in downtown Pittsburgh. A sample of 40 Pittsburgh employees showed they travel a mean of 370 miles per month. A sample of 35 Cincinnati employees showed they travel a mean of 380 miles per month. Do the Cincinnati employees travel the same distance to work, on average, as the Pittsburgh employees

Answers

Answer:

Both groups of Employees do not  travel the same distance to work hence we will reject the Null hypothesis

Step-by-step explanation:

40 Pittsburgh employees mean travel time = 370 miles

35 Cincinnati employees mean travel time = 380 miles

Both groups of Employees do not  travel the same distance to work hence we will reject the Null hypothesis

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

mean = total distance  / Number of employees

For Pittsburgh

370 = x / 40

x = 370 * 40 = 14,800 miles

For Cincinnati

380 = y / 35

y = 380 * 35 = 13,300 miles

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a.
48
c.
4024
b.
2024
d.
2048

Answers

Answer:

The correct answer is D

Step-by-step explanation:

the dude above me made a small typo, but they are right

The picture is my proof

have a nice day! :)

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