To trisect an ___ angle you first construct an equilateral triangle.

A. Acute

B. Right

C. 60-degree

D. Obtuse

Answers

Answer 1

To trisect a 60-degree angle you first construct an equilateral triangle.

Option C is the correct answer.

What is an angle?

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

To trisect a 60-degree angle, we can use the fact that an equilateral triangle has three 60-degree angles.

The steps to trisect a 60-degree angle using an equilateral triangle are as follows:

Draw an equilateral triangle with one of its vertices at the angle to be trisected.

Draw a line from the vertex of the angle to the opposite side of the triangle, dividing the angle into two 30-degree angles.

Draw a line from the vertex of the angle to the point where the opposite side intersects the circle centered at the vertex with a radius equal to the length of one side of the equilateral triangle. This will divide one of the 30-degree angles into two 15-degree angles.

Draw a line parallel to the opposite side of the triangle from the point where the 15-degree angle is divided to the adjacent side of the triangle. This will trisect the 60-degree angle into three 20-degree angles.

Thus,

By constructing an equilateral triangle, we can trisect a 60-degree angle.

Learn more about angles here:

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Related Questions

What is a polygon? explain (please help)

Answers

Answer:

In geometry, a polygon can be defined as a flat or plane, two-dimensional closed shape with straight sides. It does not have curved sides..

Answer:

a polygon is a plane figure with at least 3 straight sides and angles, typically 5 or more. its a closed shape meaning that there is no spots in the shape where the lines don't connect

Sofia wants to rent an apartment. She visits Apartment A which charges $100 for a one-time deposit and $400 per month for rent. She also visits Apartment B which charges $500 for a deposit, but only charges $350 per month in rent. Write and solve an inequality that shows how many months it would take for the total paid to be less for Apartment B.

Answers

Credit To: "lublana" On Brainly For This Answer

Answer:

Given that one time charge of appartment "a" = $100

Given that monthly rent of appartment "a" = $400

say the number of months = x

then total cost of the rent for apartment "a" = 100+400x

Given that one time charge of appartment "b" = $500

Given that monthly rent of appartment "b" = $350

then total cost of the rent for apartment "b" = 500+350x

Now we have to make an inequality so that number of months it would take for the total paid to be less for apartment b.

that means 100+400x is less than 500+350x

Hence required inequality is 100+400x<500+350x.

Now we have to solve this inequality.

400x-350x<500-100

50x<400

divide both side by 50

x<8

hence final answer is number of months should be less than 8.

The slope of a line is -1/5 and the y-intercept is 5. What is the equation of the line written in slope-intercept form? Type the equation in the space provided. Be sure to use the slope-intercept form noted in the lesson.

Answers

Answer:

y= -1/5x + 5

Step-by-step explanation:

An easy way to remember which one is the slope and which one is the intercept in a slope-intercept equation is that the number next to x is always the slope and the number that's a loner is the y-intercept. Hope this helps!

An object with increasing acceleration is also increasing in which other property?
mass

velocity

temperature

volume

Answers

Answer:

The answer is Velocity

Step-by-step explanation:

I just took the test and it was the right answer.

I just need it simplified, thank you!
4>-x/4

Answers

Answer:

x>-16

Step-by-step explanation:

First

4> -x/4

switchsides

-x/4<4

then multipy both sides by 4

4(-x/4)<4*4

then multipy bothsides by -1 and reverse the inequality

(-x)(-1)> 16(-1)

If three boxes of pasta cost $5.79, find the cost of 22 boxes.

Answers

Answer:

Step-by-step explanation:

3 boxes of pasta --> $5.79

1 box of pasta --> $5.79/3=$1.93

22 boxes of pasta --> $1.93 x 22 =$42.26

The answer would be 42.46

How I got the answer divide 5.79 by 3 three multiply the answer by 22 then you get the answer

Solve for r:
3x + 2 = 11
11
O A
B. 3
Oc.
3
OD.
13
3
O E 6

Answers

Do you mean solve for x? Which is 3

Answer:

Step-by-step explanation:

3x + 2 - 2 = 11 -2

3x = 9

3x divided by 3 = 9 divided by 3

x=3

How can ΔWXY be mapped to ΔMNQ?

Triangles W X Y and M N Q are shown. The lengths of sides M N and W X are 18 centimeters. The lengths of sides Y W and M Q are 30 centimeters. Angles Y W X and N M Q are congruent. Triangle W X Y is slightly up and to the right of triangle M N Q. Angle Y W X is the bottom angle and angle N M Q is the left angle.

Translate vertex W to vertex M, then reflect across the line containing _______________.

Answers

Answer:

A. WX

Step-by-step explanation:

May I have brainliest please? :)

Triangle WXY can be mapped to triangle MNQ by:

Translating vertex W to vertex M.Then, reflect ΔWXY across the line containing line segment WX.

What is transformation?

Transformation involves changing the size and the position of a shape

From the figure (see attachment), we have the following highlights

Both triangles are not on the same height (i.e. translation is required)Both triangles are not on the same orientation (i.e. one of the triangles need to be reflected)

Hence, Triangle WXY can be mapped to triangle MNQ by translating vertex W to vertex M, and then, reflecting ΔWXY across the line containing line segment WX.

Answers

Answer:

x = -1

Explanation:

5x + 2 = 3x

5x - 3x = -2

2x = -2

x = [tex]\dfrac{-2}{2}[/tex]

x = -1

Hope this helps! ☺

Answer:

-1

Step-by-step explanation:

5x+2=3x

2=-2x

x=-1

It would be a BLESSING if you guys could do this for me. I have a lot of work today, and math isn't helping

Answers

Answer:

its a)

Step-by-step explanation:

This answer is a) because 8/3 radio drink mix is a)

Hope this helps . ;D

Solve x-(-9) = -14.
0-5
0 23
0-23
O 5

Answers

Step-by-step explanation:

x - (-9) = -14

x = -14 +(-9)

x = - 23

if you wanna check,

-23 - (-9) = -14

-14 = -14

Which property explains why these two expressions are equal?

a(b + c) = a(c + b)

Answers

Answer:

The Associative Property.

Answer:

They are equal because no matter how you flip an addition equation, the result will always be the same. aka the associative property.

Step-by-step explanation:

Because variable a never moved, but b and c did, the answer remains the same.

example: x + y = y + x

I need help pleasseseeee

Answers

Answer:

D, 110$

Step-by-step explanation:

According to the systematic function, given that the bill as a function is equal to one tenth the quantity of x for kilowatt hours less than or equal to 200, and three twentieths of 200 less than the quantity of x plus 20 for kilowatt hours greater than 200. The answer is 110$ because the question gives us a measure of kilowatts greater than 200 so the second equation is used in the system. Therefore .15(800-200) + 20 = b(800), (.15)600 +20 = 90 + 20 = 110

6.
Consider the equation:
4(2 + px) = 12x
For what value of p does the equation have no solution?
A 1
B. 3
C 12
D. 48

Answers

Answer:

p = 3

Step-by-step explanation:

Given

4(2 + px) = 12x

If the coefficient of the x- term is the same on both sides of the equation, it will have no solution.

Distributing gives

8 + 4px = 12x ( equate the coefficients of the x- term )

4p = 12 ( divide both sides by 4 )

p = 3

The value of p when the equation has no solution will be 3. Then the correct option is B.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

4(2 + px) = 12x

8 + 4px = 12x

If the coefficient of the x-term is the same on both sides of the equation, it will have no solution.

4p = 12

p = 3

The value of p when the equation has no solution will be 3. Then the correct option is B.

More about the linear equation link is given below.

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Somebody please help ASAP!!!

Answers

The answer is -6x+85

Before beginning voice lessons, Katie already knew how to sing 7 pieces, and she expects to
learn 2 new pieces during each week of lessons. Write an equation that shows the
relationship between the number of weeks x and the number of pieces learned y.
Write your answer as an equation with y first, followed by an equals sign.

Please solve ASAP this is timed. Giving 15 points!!! Thank you so much!!!!!!

Answers

Thanks for asking your question!

Have more questions? Just ask!

Answer:

7y +2x

Let x = the number of weeks

Hope this helps!

Determine if segments JK and LM are parallel, perpendicular, or neither.

J(-10, -7) K(-4, 1) L(-1, 1) M(-6, -2)

Answers

Answer:

perpendicular

Step-by-step explanation:

the lines meet together

What 3 numbers can be multiplied together to get 180?

Answers

2×6×15=180

Step-by-step explanation:

2×6=12

12×15=180

Answer:

3×6×10=180

Step-by-step explanation:

.............. there can be more than one right answer for this

Convert 250 pesos to U. S. dollars. The exchange rate is 9.99 pesos per U. S. dollar.
options
a. $30.02
b. $240.01
c. $259.99
d. $25.03
e. $2497.50
HELP NEEDED RIGHT AWAY PLS DUE NOW!!!!

Answers

Answer:

Step-by-step explanation:

250/9.99=25.0250... Round it to 25.03

The required converted value is $25.03, which is 250 pesos to U. S. dollars.

As we all know, unit conversion is the process of multiplying a provided quantity by a conversion factor that combines the two interconnected units.

To convert 250 pesos to U.S. dollars, we divide the amount of pesos by the exchange rate.

Here, the exchange rate is given as 9.99 pesos per U.S. dollar.

It is the process of assigning a quantity from one unit of measurement to another.

250 pesos / 9.99 pesos per U.S. dollar = 25.025 U.S. dollars

Rounding this to two decimal places, the conversion is approximately $25.03.

Therefore, the correct option is (d) $25.03.

Learn more about the conversions here:

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6. Write an equation of a line that passes through the points (4,5) and (8,3).

Answers

Answer:

The answer to your question is -2/4

Step-by-step explanation:

y2-y1

x2-x1

During a musical, an orchestra is playing. As the music plays, the volume changes at the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:

At what number(s) measures played would the sound level be at 80 decibels?

Answers

Answer:

what

Step-by-step explanation:

...

To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.
Next, we subtract 50 from both sides of the equation.
Next, we divide both sides of the equation by 10
Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.
Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x
Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x
Therefore, x, the number of measures of music played, must be either 1 or 7.

the sum of 1/11 and 5/11

Answers

Answer:

6/11

Step-by-step explanation:

1/11+5/11

Answer:

the sum of 1/11 and 5/11 is 6/11

Step-by-step explanation:

the sum would mean addition so

1/11 + 5/11

when adding fractions you don't add the denominator

so then you'd only add 1 + 5 which gets you 6

so 6/11

10 pls 10 I dnt no wat to do

Answers

10 plus 10 is 20 lol

Line m contains the points A (-2,1) and B (4, -3).
Line n contains the points C (-1,-4) and D (3,2).

Answers

Answer:

Line m = -2/3x - 1/3

Line n = 3/2x - 5/2

Step-by-step explanation:

Use point slope form: y - y1 = m(x - x1)

4n + 3 < 6n + 8 - 2n

Pls solve in steps

Answers

Answer:

All real numbers would be the correct answer.

Step-by-step explanation:

First of all, add 6n to -2n which now the equation would be 4n+3 < 4n+8.

Now, subtract 4n to both sides and subtract 3 to both sides. Now you will have 0n < 5 which will be all real numbers.

What is the difference between Glasgow and Copenhagen. (Glasgow= -7.8 Copenhagen=-3.8)

Answers

Answer:

Step-by-step explanation:

The difference of the two values is 4 as calculated by subtraction.

An arithmetic operation called subtraction is the process of deleting or removing items from a collection. The negative symbol (-) denotes subtraction.

Subtraction can mean eliminating or lowering physical and abstract quantities utilizing a variety of things, such as fractions, matrices, vectors, irrational numbers, decimals, functions, and however negative integers. it is typically linked with natural numbers in mathematics.There are several significant patterns in subtraction. It is anticommutative, which means that altering the sequence alters the answer's sign. Additionally, it is not associative, which means that when subtracting more than two numbers, the method used matters. 0 is the additive identity, hence subtracting it has no effect on a number. In relation to related operations like addition and multiplication, subtraction also abides by predictable principles.

The given values for Glasgow and Copenhagen are given as -7.8 and -3.8 .

Therefore difference = -3.8 - (-7.8) = -3.8 +7.8 = 4

To learn more about subtraction visit:

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i need help;-; Like 25 points or something

Answers

Answer:

28.26

Step-by-step explanation:

area of a circle formula:

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

since we substitute pi for 3.14 it would be 3.14×(3)^2

3^2=9

9×3.14=28.26

Answer:

28.26

Step-by-step explanation:

hope this helps

What is an equivalent ratio to 9/15?

Answers

Answer:

the answer is 3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

I’m just different

Complete the long division problem on your own sheet of paper. Then, fill in the digits.

47 dived by 9598 do the whole problem

Answers

Answer:

204 Remainder 10 / 204 10/47

Step-by-step explanation:

Answer:

0 2 0 4

4 7 9 5 9 8

− 0

9 5

− 9 4

1 9

− 0

1 9 8

− 1 8 8

1 0

Step-by-step explanation:

the answer is 10

I need help please (18 points)

Answers

Answer:

128

Step-by-step explanation:

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To trisect an ___ angle you first construct an equilateral triangle. A. Acute B. Right C. 60-degree D. Obtuse

Answers

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To trisect an ___ angle you first construct an equilateral triangle.

A. Acute

B. Right

C. 60-degree

D. Obtuse