Aliaa uses deductive reasoning to identify the number angles that fit inside a circle based on her knowledge that obtuse angles have measures greater than  and that there are  at the center of the circle. Aliaa wants to partition the circle in 3 congruent angles, what is the angle measurement that best fits Aliaa's circle partition?

Answers

Answer 1

Answer:

The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.

Step-by-step explanation:

The sum of angles at the center of the circle = The sum of angles at a point = 360°

Therefore, to partition the circle into three congruent angles, the measurement of each of the partition should be 360°/3 = 120°

The steps to partition a circle into three are;

1) Draw the diameter of the circle, to intersect the circumference of the circle at points A and B

2) Mark a point, C, at a distance of half the radius from the center of the circle,  O, to the point, B, on the circumference, using a straight edge

3) Draw a perpendicular line to the diameter of the circle, through the point, C, to intersect the circle circumference at points D and E)

4) Draw radial lines from the circle center, O, to the points D and E

5) The segments OA, OB, and OE, are segment lines partitioning the segment into three congruent angles.


Related Questions

Point G is the incenter of the triangle. Point G is the incenter of triangle E D F. Lines are drawn from each point of the triangle to point G. Lines are drawn from point G to the sides of the triangle. Angle D F G is 16 degrees. Angle G F E is (2 x) degrees. What is the value of x? 4 8 24 32

Answers

Answer:

8

Step-by-step explanation:

8

Answer:

B

Step-by-step explanation:

2x=16

16/2=8

Answer is 8

what is 1 1/3 divided by 3/5

Answers

about 2.2222

rounded answer: 2.23

Answer:

6.11

Step-by-step explanation:

First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5

Which equation below would be perpendicular to the line x = 5 and goes through the point (2, 6)?

Answers

Answer:

this also I do not know plz tell answer is will also practice

The graph of the function B is shown below. Find B(2).





1
-1
2

Answers

Answer: 2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

Don't forget to thank and vote

List the first 4 terms of the sequence. f(1) = 7, f(n) = f(n-1)+4

Answers

Answer:

7, 11, 15, 19

Step-by-step explanation:

Using the recursive rule with f(1) = 7 , then

f(2) = f(1) + 4 = 7 + 4 = 11

f(3) = f(2) + 4 = 11 + 4 = 15

f(4) = f(3) + 4 = 15 + 4 = 19

The first 4 terms are 7, 11, 15, 19

which set of angles shares rayAF as a common side?

Answers

BAF and FAD I took the test !

what does 5/8 x 30 1/2 = in mixed number form

Answers

Answer:

19 1/16

Step-by-step explanation:

Answer:

305/16

Step-by-step explanation:

Simplify the following:

(5 (30 + 1/2))/8

Hint: | Express (5 (30 + 1/2))/8 as a single fraction.

(5 (30 + 1/2))/8 = (5 (30 + 1/2))/8:

(5 (30 + 1/2))/8

Hint: | Put the fractions in 30 + 1/2 over a common denominator.

Put 30 + 1/2 over the common denominator 2. 30 + 1/2 = (2×30)/2 + 1/2:

(5 (2×30)/2 + 1/2)/8

Hint: | Multiply 2 and 30 together.

2×30 = 60:

(5 (60/2 + 1/2))/8

Hint: | Add the fractions over a common denominator to a single fraction.

60/2 + 1/2 = (60 + 1)/2:

(5 (60 + 1)/2)/8

Hint: | Evaluate 60 + 1.

60 + 1 = 61:

(5×61/2)/8

Hint: | Express 5×61/2 as a single fraction.

5×61/2 = (5×61)/2:

((5×61)/2)/8

Hint: | Express ((5×61)/2)/8 as a single fraction.

((5×61)/2)/8 = (5×61)/(2×8):

(5×61)/(2×8)

Hint: | Multiply 2 and 8 together.

2×8 = 16:

(5×61)/16

Hint: | Multiply 5 and 61 together.

5×61 = 305:

Answer:  305/16

What is the solution set for 5(1−p)>−3p−5?

Answers

3p-1=5(p-1)-2(7-2p)

Simplifying

3p + -1 = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(-1 + p) + -2(7 + -2p)

-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)

-1 + 3p = (-5 + 5p) + -2(7 + -2p)

-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)

-1 + 3p = -5 + 5p + (-14 + 4p)

Reorder the terms:

-1 + 3p = -5 + -14 + 5p + 4p

Combine like terms: -5 + -14 = -19

-1 + 3p = -19 + 5p + 4p

Combine like terms: 5p + 4p = 9p

-1 + 3p = -19 + 9p

Solving

-1 + 3p = -19 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.

-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p

-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0

-1 + -6p = -19 + 0

-1 + -6p = -19

Add '1' to each side of the equation.

-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0

0 + -6p = -19 + 1

-6p = -19 + 1

Combine like terms: -19 + 1 = -18

-6p = -18

Divide each side by '-6'.

p = 3

Simplifying

p = 3

What is the range of the function f(x) = 4x + 3 when the domain is {−3 , 2 , 4}

Answers

Hey there! I'm happy to help!

The range of a function is all of the outputs. Let's plug in our inputs and find these outputs.

4(-3)+3

-12+3

-9

4(2)+3

8+3

11

4(4)+3

12+3

15

We order these from least to greatest, giving us a range of {-9,11,15}.

Have a wonderful day! :D

Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your variables and set up a system of equations with two equations

Answers

Answer:

Fred has saved $115 while Wilma had saved $230

Step-by-step explanation:

Let the amount saved by Fred be F while the amount saved by Wilma be W

Together, they have saved $345

Mathematically;

F + W = 345 •••••••(i)

We are also told that Wilma has have twice as much money as Fred;

Hence; W = 2F ••••••••(ii)

To get the amount of money they both have, we need to solve the equations simultaneously

Substitute ii into i

F + 2F = 345

3F = 345

F = 345/3

F = 115

But W = 2F

W = 2 * 115

W = 230

Maria wants to purchase a shirt for $30. She also wants to purchase a purse for $60. She has to pay 7.5% sales tax on her purchase. What will be the total amount Maria pays including tax. ​
A. $96.75​

B. $6.75​

C. $83.25​

D. $90.00​

Answers

A)96.75

Multiply 90 x 7.5% to get 6.75

Add to get answer

Brainliest?

which phrase should be inserted on the line to correctly compare the two factions 4/5 + 16/20 a is greater than B cannot be compared C is less than and D is equal to ​

Answers

First, let's reduce our fractions to their simplest forms.

4/5 is already in its simplest form

16/20 = 4/5.

Now that both of por fractions are in their simplest forms, let's compare them.

4/5 is equal to 4/5

D is the correct answer.

Answer: C. is less than

Step-by-step explanation: the person above me is wrong

A plane is labeled H. 3 horizontal lines are shown. From top to bottom, line k is above the plane and lines n and w are on the plane. Vertical line m cuts through the horizontal lines and the parallelogram. Point x is at the intersection of lines m and n and indicates that m is at a right angle to line n. Lines n and w are parallel to each other. Which statement is true regarding the parallel and perpendicular lines in the diagram? k Parallel to n and w Perpendicular to m k Parallel to n and n Perpendicular to m w Parallel to n and n Perpendicular to m w Parallel to n and wPerpendicular to m

Answers

Answer:

c on edge

Step-by-step explanation:

i just did it

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is C.

What is a line segment?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is a straight line with finite length, and thus, has two endpoints(points on either end).

The diagram for the given condition can be made as shown below. Now, from the image, the following conclusion can be made,

The two lines w and n are parallel to each other.The line m is perpendicular to n, this is because the angle between the two lines is equal to 90°. The two lines k and line n are also parallel to each other.

Further, if all the options are observed.

A.) k Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

B.) k Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

C.) w Parallel to n and n Perpendicular to m

Since both the parts of the statement are correct, therefore, it can be concluded that the given statement is correct.

D.) w Parallel to n and w Perpendicular to m

The first half of the given statement is correct but the second half of the equation is completely wrong. Therefore, not the correct option.

Learn more about Line Segment:

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What is 1 5/6 + 1/2?
A) 14/6

B) 17/12

C) 17/6

D) 25/12


Answers

Answer:

A) 14/6

Step-by-step explanation:

1 5/6 = 1 + 5/6 = 6/6 + 5/6 = 11/6

1/2 = 3/6

then:

1 5/6 + 1/2 = 11/6 + 3/6 = 14/6

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

4x=2(x+6)  

4x=2x+6

2x=6

x=3

given the functions: f(x) = x^2-9 and g(x) = 3 what is (f/g)(x)? A. x-3 B. x-9 C. x+3 D. x+9

Answers

Answer:

f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

)(x)=

g(x)

f(x)

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}

1936
1937
1944
1945
1946
19
23
30
33
?

Answers

Answer:

44?

Step-by-step explanation:

(52) + (3+4i) is
O 3 +9i
O 12
O 3ti
O 92 + 3

Answers

Answer:

O 3 +9i

Step-by-step explanation:

Find point A ( x, y ) if point B is ( 6 , 10 ) and the midpoint between A and B is ( -4,5)

Answers

Answer:

(14,0)

Step-by-step explanation:

slope 10/5 or 2

Solve.
2(7y - 5) = 4

Answers

Answer:

y=1

Step-by-step explanation

So basically 2 *7y is 14y and 2*5 equals 10

bring the 10 to the 4 and you have 14y=14

y=1

14y-10=4
+10 +10
14y= 14
Y=1

Please Help! 7+b=b+7

Answers

Answer:

Yes, 7+b=b+7

Step-by-step explanation:

It is correct because the both are the same equation; however, the numbers and variables are just switched around. Therefore, that doesn't change the value of the equation.

Hope this helps!

Answer:all real numbers are solutions

Step-by-step explanation:

a brunette Hall is preparing to serve a party of 432 guests if each table seats 8 people how many tables are needed​

Answers

Answer:

54

Step-by-step explanation:

432/8=54

if i am correct, 54 tables are needed for the guests

Can someone help me with this please

Answers

Answer:  4

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

Explanation:

For now, ignore the variables. Let's just focus on the coefficients 12 and 16.

The GCF of 12 and 16 is 4 because this is the largest factor they have in common.

12 = 4*3

16 = 4*4

You could create a factor tree to get the prime factorization of each number

12 = 2*2*3

16 = 2*2*2*2

Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.

--------

Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.

--------

Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.

If the salesperson made $2,500,000 in total sales, is their yearly salary $205,000? Yes or No.

Answers

Considering that sales rep receive on average between 20 to their 30% of their sales as profit, therefore the sales person would make between 2,500,000 x .20 = 100,000, and 2,500,000 x .30 = 750,000

i feel so stupid right now it makes me mad
how do you describe a correlation

Answers

Answer:

Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.

Step-by-step explanation:

Solve for x. Make sure to show all your work.

Answers

Answer:

x=18

Step-by-step explanation:

(6x+3)+(3x+15)=180

(6x+3x)+(3+15)=180

9x+18=180

    -18  -18

9x=162

162/9

x=18

These two angles should sum to 180 since they form a line. So 6x+3+3x+15=180. 9x=162. x=18.

Write the fraction 12/28 in the simplest form

Answers

Answer: 3/7

Step-by-step explanation:

Answer:

12/28 is 3 /7 is your answer

Which of the following is equivalent to 3⁴? 1. 12 2. 81 3. 7 4. 64

Answers

the correct answer is 81

Answer:

81

Step-by-step explanation:

Order the numbers below from least to greatest √5,3.7,1/2,-4,-9/4

Answers

Answer:

-4 , -9/4 , .5 , √5 , 3.7

Step-by-step explanation:

-9/4= -2.25

sqr 5= 2.23

1/2= .5

Maria babysat for 6 hours on Tuesday, 3 hours on Thursday, and 4 hours on Saturday.
If Maria is paid $6.00 per hour, how much money did she make on these three days?

Answers

Answer:

First, convert 150% to the equivalent decimal 1.50 by dropping the percent sign and moving the decimal two places to the left. Then, multiply 9 by 1.50 to get 13.50. Maria now makes $13.50 per hour.

Step-by-step explanation:

I took the test and this is the sample answer

The required earnings for Maria for the three days is $78.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Maria babysat for 6 hours on Tuesday, 3 hours on Thursday, and 4 hours on Saturday, and paid $6.00 per hour.

Total earining = 6 × 6 + 3×6 + 4× 6
Total earning = 36 + 18 + 24
Total earning = $78

Thus, the required earnings of Maria for the three days is $78.

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