AB and DE are chords that intersect at point F inside circle C as shown. If the measure of arc EA= 50 degrees and the measure of arc DB= 70 degrees, what is the measure of angle AFE and angle EFB?

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Help please!

AB And DE Are Chords That Intersect At Point F Inside Circle C As Shown. If The Measure Of Arc EA= 50

Answers

Answer 1

Answer:

Part 1) [tex]m\angle AFE=55^o[/tex]

Part 2) [tex]m\angle EFB=125^o[/tex]

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

Note: In this problem the correct measure of arc EA is 40 degrees (see the picture)

so

[tex]m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)[/tex]

substitute the given values

[tex]m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o[/tex]

Part 2) what is the measure of angle  EFB?

we know that

[tex]m\angle AFE+m\angle EFB=180^o[/tex] ---> by supplementary angles (form a linear pair)

so

substitute the given value

[tex]55^o+m\angle EFB=180^o[/tex]

[tex]m\angle EFB=180^o-55^o=125^o[/tex]

Answer 2
Final answer:

The measure of angle AFE is 60 degrees and the measure of angle EFB is 10 degrees. This is derived from the property that the measure of an inscribed angle is half the measure of its intercepted arc.

Explanation:

The measure of an inscribed angle (an angle whose vertex is on the circle) is half the measure of its intercepted arc. The measure of angle AFE is half the sum of arc EA (50 degrees) and arc DB (70 degrees), while the measure of angle EFB is half the difference of arc EA and arc DB.

Therefore:

Angle AFE = 1/2 * (EA + DB) = 1/2 * (50 + 70) = 60 degreesAngle EFB = 1/2 * |EA - DB| = 1/2 * |50 - 70| = 10 degrees

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Related Questions

Solve. 2x < -4 Find out for x!

Answers

Answer:

Step-by-step explanation:

2x < - 4

divide both sides by 2

[tex]\frac{2x}{2}<\frac{-4}{2}[/tex]

x < -2

x= {.........-5, -4 , - 3}

All values less than -2

Help please! Will give brainly!
4x+1=3
Can you give me a value for x that makes this equation false?

Answers

For this equation, x = 1/2 makes it true.

4x + 1 = 3

To find a value for x that makes this equation true, we need to find a value where 4x + 1 equals 3.

  4x + 1 = 3

Subtracting 1 from both sides:

  4x = 2

Dividing both sides by 4:

  x = 2/4

  Simplifying:

  x = 1/2

Substituting x = 1/2 into the equation:

  4 .  1/2 + 1 = 3

  2 + 1 = 3

  3 = 3

9219 divided by 76. will someone pls answer this?

Answers

Answer:

121.302632

Step-by-step explanation:

Answer:

121.302632

Step-by-step explanation:

Use a calculator

What is the magnitude of the resultant of z-y?
x=9i-j-2k
y=-6i+2j-k
z=-i+5j+3k

Answers

Answer:

5sqrt(2)

Step-by-step explanation:

Z - Y

-i+5j+3k - (-6i+2j-k)

-i + 6i + 5j - 2j + 3k + k

5i + 3j + 4k

Magnitude:

sqrt(5² + 3² + 4²)

sqrt(50)

5sqrt(2)

Answer is

B = 5sqrt(2)

what is the area of the shaded region in square millimeters?

Answers

Answer:

Hi There the correct answer C 64.84

Step-by-step explanation:

Because all you really need to do to get the answer multiply and you get your answer from there.

Which equation can be used to find the volume of this solid? 6 in 7 in
8 in
V=7+6/2x8. V=7+6+8/2. V=7x6/2x8. V=7x6/2+8

Answers

Answer:

V=7+6+8/2

Step-by-step explanation:


Sir Dwayne is in charge of dragon designs at the King's Toy
Factory. He hopes that his new designs will please the king
*Your Highness," he says. "I have the plans for the toy
dragons. If it pleases you, every 3rd dragon shall billow
clouds of smoke through its nostrils. every 4th dragon shall
breathe fire, every 6th dragon shall have glowing eyes, and
every 8th dragon shall have a tail with spikes on it. i shail
make 100 dragons." The king asks. Sir Dwayne, how many
dragons shall have more than one of these
characteristics?" Sir Dwayne doesn't have the answer. Can
you help him answer the king before he is thrown into the
dungeon?

Answers

Answer:

24 dragons

Explanation:

Any multiple of 3 and 4 shall blow clouds of smoke through its nostrils and breathe fire. Those are:

the 12th, the 24th, the 36th, the 48th, the 60th, the 72nd, the 84th, and the 96th dragons.

Hence, that is 8 dragons that shall have both characteristics.

Any multiple of 6 shall have glowing eyes. The common multiples of 6 and 3 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.

Then, that adds:

the 6th, 18th, 30th, 42nd, 54th, 66th, 78th, and the 90th dragons:

Hence, add 8 more dragons.

And the common multiples of 6 and 4 are: 12, 24, 36, 48, 60, 72, 84, and 96, all of which are already included.

Any multiple of 8 shall have a tail with spikes on it. Then, you must find the common multiples of 8 and 3, 8 and 4, and 8 and 6.

Common multiples of 8 and 3 are: 24, 48, 72, and 96, which are already included.

Common multiples of 8 and 4 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, and 96. Then, you must add:

the 8th, the 16th, the 32th, the 40th, the 56th, the 64th, the 80th, and the 88th.

Those are other 8 dragons.

At the end the number of dragons that shall have more than one of these characteristics is:

8 + 8 + 8 = 24

Final answer:

By calculating the least common multiples (LCMs) of the intervals for the dragon's characteristics and considering the first 100 dragons, we find that there will be 12 dragons with overlapping features.

Explanation:

Sir Dwayne at the King's Toy Factory is tasked with creating dragons with characteristics that occur at different intervals. Specifically, every 3rd dragon billows smoke, every 4th breathes fire, every 6th has glowing eyes, and every 8th has a spiked tail. We are asked to calculate how many of the 100 dragons will have more than one of these features.

To solve this problem, we need to consider the least common multiples (LCMs) between the provided intervals: 3, 4, 6, and 8. The LCM of any two numbers is the smallest number that is a multiple of both numbers. We'll find the number of dragons that have characteristics occurring at multiple intervals (overlapping features).

LCM of 3 and 4 is 12, so every 12th dragon will both billow smoke and breathe fire.LCM of 3 and 6 is 6, so every 6th dragon will both billow smoke and have glowing eyes (this is not a new interval since 6 is a multiple of 3).LCM of 3 and 8 is 24, so every 24th dragon will billow smoke and have a spiked tail.LCM of 4 and 6 is 12, so every 12th dragon will breathe fire and have glowing eyes (also not new).LCM of 4 and 8 is 8, so every 8th dragon will breathe fire and have a spiked tail (this interval is covered by 8).LCM of 6 and 8 is 24, so every 24th dragon will have glowing eyes and a spiked tail (also not new).

We must not forget to find the LCM for all three and four characteristics together, if any, to see if there is any dragon with three or all four features:

LCM of 3, 4, and 6 is 12.LCM of 3, 4, and 8 is 24.LCM of 3, 6, and 8 is 24.LCM of 4, 6, and 8 is 24.LCM of 3, 4, 6, and 8 is 24.

Since the highest LCM (which covers all the characteristics) is 24, and we are making 100 dragons, we can divide 100 by 24 to find how many dragons would have all four characteristics. This results in 4 dragons with some remaining. Now, we'll consider all unique multiples of our LCMs up to 100 and sum them up, taking care not to double-count any dragons:

There are 8 multiples of 12 up to 100 (12, 24, ..., 96).There are 4 multiples of 24 up to 100 (24, 48, 72, 96).

Note that every multiple of 24 is also a multiple of 12, which means these have already been counted. So, we only count the additional multiples of 12 that are not multiples of 24.

Counting all the unique multiples, we have: 8 (from LCM 12) + 4 (from LCM 24) = 12 dragons. Thus, Sir Dwayne will make 12 dragons having more than one of these characteristics.

Find the length of the missing side.

The length of the missing side is​

Answers

Answer:

85 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let h be the hypotenuse, then

h² = 40² + 75² = 1600 + 5625 = 7225 ( take the square root of both sides )

h = [tex]\sqrt{7225}[/tex] = 85

Answer:

85

Step-by-step explanation:

The most obvious way to solve this is by using the Pythogream therom which I strongly reccomend learning.

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

15x – 7 = 4x – 18
What is x

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

15x - 7 = 4x - 18 ( subtract 4x from both sides )

11x - 7 = - 18 ( add 7 to both sides )

11x = - 11 ( divide both sides by 11 )

x = - 1

Divide.

12,360.1 ÷ 100,000

Enter your answer as a decimal in the box.

Answers

Answer:

0.123601

Step-by-step explanation:

1.236 is the answer

Evaluate: 2 - X + 8 - (-2)
where x = 10

Answers

Answer:

2

Step-by-step explanation:

*answer*

2 - 10 + 8 - 2= 14

Which number is a rational number? V34 V13/16 V9/2 V49

Answers

Answer:

√49 = 7

Step-by-step explanation:

√49 = 7 is the only given number that is rational.

Choose the volume of this trapezoidal prism

Answers

Answer:

C) 223.6m³

Step-by-step explanation:

Area of the trapezium = sum of parralel sides / 2 = 6.5m × 4.3 (perpendicular height) = 27.95m²

× 8 = 223.6m³

C. 223.6 is the answer to this solution

What is 2 to the 500 power

Answers

Answer:

thats an error??

Step-by-step explanation:

Answer:

3.273391e+150

Step-by-step explanation:

Use a calculator

how to find the average rate of change for f(x)=2^x;[2,4]​

Answers

Answer:

6

Step-by-step explanation:

The average rate of change over the interval [tex][a,b][/tex] for a function [tex]f[/tex] is [tex]\frac{f(b)-f(a)}{b-a}[/tex].

So the average rate of change for [tex]f(x)=2^x[/tex] on [tex][2,4][/tex] is:

[tex]\frac{2^4-2^2}{4-2}=\frac{16-4}{2}=\frac{12}{2}=6[/tex].

which is the graph of the linear function that is represented by the equation y = 1/2 x 2

Answers

Answer: I believe it’s c

How does -15/14 + 9/8 = 3/56

Answers

Bc u gotta add 15 plus 9 and than divided them by 2 and it gives u 3:56

Brian pays £180 per week in rent. His landlord decides to decrease the rent by 5%. How much rent does he pay now

Answers

Answer:

171

Step-by-step explanation:

180 - (5% × 180)

180 - 5% × 180

(1 - 5%) × 180

(100% - 5%) × 180

95% × 180

95 ÷ 100 × 180

95 × 180 ÷ 100

17,100 ÷ 100 = 171.

The following data set represents the number of students in the Tuesday
trampoline classes. Which of the following represents the interquartile range?

9, 5, 14, 6, 8, 9, 6, 2, 3, 5

Answers

D is the correct answer.

D is the answer to this question.

Using Euler's Formula, given Edges = 12, Vertices = 8, how many Faces?

A.10

B.8

C.6

D.4

Answers

Answer:

C

Step-by-step explanation:

Euler's formula for polyhedra states that

F + V - E = 2 ( F is faces, V vertices and E edges ), thus

F + 8 - 12 = 2, that is

F - 4 = 2 ( add 4 to both sides )

F = 6

The number of faces is 6

The short answer is c

Consider the expression 5x + 3y + 9.
1)
Which word describes 3y in the given expression?
A) coefficient
B) constant
C) factor
D) term

Answers

The word describing 3y is "term". The correct option is (D).

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is as below,

5x + 3y + 9

Since an algebraic expression consists of different terms separated by each other by a plus or minus sign.

The given expression has three terms as  5x, 3y and 9.

Hence, the word that describes 3y for the given expression is "term".

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Final answer:

In the expression 5x + 3y + 9, the term '3y' is one of the three terms present, with '3' serving as the coefficient, making '3y' correctly identified as a term.

Explanation:

In the given expression 5x + 3y + 9, the term "3y" is described as a term. In algebra, a term is a single mathematical expression that may form a part of a larger expression, which can include numbers, variables (like x or y), or the product of numbers and variables. Here, "3y" is one of the three terms in the expression, with "5x" and "9" being the others. The number 3 in "3y" is called the coefficient, which is the numeric part of the term that multiplies the variable y. Therefore, the correct answer to the question is D) term.

Answer please, no explanation needed.

Answers

Answer:

f/3=6

18 total fish

Step-by-step explanation:

What is the height of the prism if the surface area is 460 mm2?
A.) 13mm B.) 9.6mm C.) 7mm D.) 12mm

Answers

Answer:

C. 7mm

Step-by-step explanation:

the prism is rectangular so the answer is c

What is the sum of (-5x + 8) + (x2 – 10x)

Answers

Answer:

-13x+8

Step-by-step explanation:

add the x's including negatives

Answer:

-13x + 8

Step-by-step explanation:

Add the x's including the negatives

Circle $O$ is located on the coordinate plane with center at $(2,3)$. One endpoint of a diameter is at $(-1,-1)$. What are the coordinates of the other endpoint of this diameter? Express your answer as an ordered pair.

Answers

To find the other endpoint of the diameter of a circle, you can use the midpoint formula in reverse with the given center and one endpoint. In this case, the coordinates of the other endpoint of the diameter are (5, 7).

The coordinates of the other endpoint of a diameter of a circle given that one endpoint and the center of the circle are known. We know the center of the circle, O, is at (2, 3) and one endpoint of the diameter is at (-1, -1). The diameter of a circle is a straight line through the center connecting two points on the circle. If you have one endpoint (x₁, y₁) and the center (x₂, y₂), the coordinates of the other endpoint (x₃, y₃) can be calculated using the midpoint formula in reverse:

x₃ = 2 × x₂ - x₁

y₃ = 2 × y₂ - y₁

For this circle:

x₃ = 2 × 2 - (-1) = 4 + 1 = 5

y₃ = 2 × 3 - (-1) = 6 + 1 = 7

So, the coordinates of the other endpoint of the diameter are (5, 7).

The solution (x, y) to a system of equations is the point where they...?

Answers

Final answer:

The solution (x, y) to a system of equations is the point where both equations intersect, meaning the coordinates (x, y) satisfy both equations simultaneously.

Explanation:

In mathematics, specifically in algebra, the solution (x, y) to a system of equations is the point where they intersect. This means that the coordinates (x, y) satisfy both equations simultaneously.

For example, if you have the system of equations y = 2x + 1 and y = 4x - 3, their solution would be the point (x, y) that would make both equations true when substituted into these equations. This is an important concept in algebra and serves as the foundation for many subsequent topics.

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The solution to a system of equations is the point where their graphs intersect, representing values that satisfy both equations. This method is practical for two-variable systems.

The solution to a system of equations is the point where the graphs of the equations intersect. This point represents the values of x and y that satisfy both equations simultaneously.

For example, consider the system of equations:

Equation 1: 2x + y = 5
Equation 2: -x + 3y = 4

Graphing these equations, the point where the lines cross is the solution. If the lines intersect at (x, y) = (1, 3), then (1, 3) is the solution to the system. This graphical method is useful for two-variable systems but becomes impractical for systems with more variables.

Point Z is the circumcenter of ΔLMN.

Point Z is the circumcenter of triangle L M N. Lines are drawn from each point of the triangle to point Z. Lines are drawn from point Z to each side to form right angles and line segments Z A, Z B, and Z C.
Which must be true?

Line segment A N is-congruent-to line segment L B
Line segment N C is-congruent-to line segment B Z
AngleBMZ Is-congruent-to AngleCMZ
AngleZBM Is-congruent-to AngleZCM

Answers

Answer: Option D.

Step-by-step explanation: I did this.

Answer:

Option D

Step-by-step explanation:

BECAUSE I KNOW!!!

Use the table to write a linear function that relates y to x

Answers

Answer:

2/3x+5

Step-by-step explanation:

when x=0 your y-int is that y-coord.

the rest is just rise over run

If the volume of a square pyramid is 6 km3

and

the height of the pyramid is 9 km, what is the

length of a side of the base?

A. √7 km

B. 54 km

C. 2 km

D. √2 km

PLEASE HELP

Answers

Answer:

The total divide by 7

A. √7 km

A farmer has $100,000 worth of cherries on the trees in his orchard. There is a 10% chance of the weather ruining his crop before harvest in
which case he would lose $40,000 worth of cherries. What would be the expected value of the crop?

??

Answers

Answer:

60,000 I think.

Step-by-step explanation:

the value (100,000) minus the damage (40,000) would equal 60,00

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