Two friends are sharing one half of a pizza that is divided into three pieces, as shown in the figure.

Circle O has diameter A D and radii B O and C O. Angle A O B is adjacent to angle B O C. Angle B O C is adjacent to angle C O D.

If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)°, what is the value of x?

10.0
21.5
58.5
121.5

Answers

Answer 1

If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)° in this pizza, the value of x is equal to: B. 21.5.

What is a supplementary angle?

In Mathematics, a supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.

Mathematically, a supplementary angle can be calculated by using this formula:

X + Y = 180

Where:

X and Y are measure of the angles subtended.

Generally speaking, we know that an entire pizza is circular in shape with an angular measure of 360°. This ultimately implies that, one-half of an entire pizza is equal to 180°, which means m∠AOB and m∠BOD are supplementary angles.

Substituting the given parameters into the formula, we have;

m∠AOB + m∠BOD = 180

3x − 6 + 5x + 14 = 180

8x + 8 = 180

8x = 180 - 8

8x = 172

x = 172/8

x = 21.5.

Read more on supplementary angle here: brainly.com/question/28565307

#SPJ1

Answer 2

Answer:

Step-by-step explanation:

B) 21.5


Related Questions

How do you find the domain?

Answers

The domain of a function is the set of numbers that can go into a given function.

The set of input values (x) for which a function generates an output value is known as the domain of the function (y).

we can write [tex]y = f(x).[/tex]

domain is the full set of x-values that can be plugged into a function to produce a y-value.

The most effective approach to finding a domain will depend on the type of function.

The domain is expressed using an open bracket or parenthesis, the domain's two endpoints separated by a comma, and then a closed bracket or parenthesis.

To find domain of function we should know the property of that function like what the function can take inside it.

Like if we consider square root function [tex]\sqrt{x}[/tex] so inside root negative numbers are not allowed so value of x should be positive means x>=0

So domain of square root function [0, ∞).

To know more about domain of function here

https://brainly.com/question/13113489

#SPJ4

Write a cubic function with x-intercepts -3/2, 0, 2 and passes through the point (1,3)

Answers

write the factors out with reverses signs like this

y = (x+3/2)(x)(x-2)

solve for x = 1

y = -2.5

what can we add to this to get 3

5.5

so

y = (x+3/2)(x)(x-2) + 5.5

at x = 1, y = 3

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

(-1,-10)(−1,−10)left parenthesis, minus, 1, comma, minus, 10, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis.

Answers

Answer:  4

Step-by-step explanation:

-1+-10 is -11

5+2 is 7

-11+7 is 4

a regression model in which more than one independent variable is used to predict the dependent variable is called

Answers

A regression model in which more than one independent variable is used to predict the dependent variable is called multiple linear regression.

Multiple linear regression refers to a statistical technique used to predict the outcome of one variable based on the values ​​of two or more variables. Sometimes simply called multiple regression, it is an extension of linear regression. The variable we want to predict is called the dependent variable, and the variables we use to predict the value of the dependent variable are called the independent or explanatory variables.

Multiple Linear Regression - Formula

Yi + β0 + β1xi1 + β2xi2 + βpxip + ∈

Where:

Yi​ is the dependent or predicted variable

β0 is the y-intercept, i.e., the value of y when both xi and x2 are 0.

β1 and β2 are the regression coefficients representing the change in y relative to a one-unit change in xi1 and xi2, respectively.

βp is the slope coefficient for each independent variable.

∈ is the model’s random error (residual) term.

To learn more about multiple linear regression visit: https://brainly.com/question/14313391

#SPJ4

Luis eats 4 pieces of a pizza divided into 6 equal-sized parts.
Omar eats 2 of the pieces.

46+26 models the total amount of pizza Luis and Omar ate.

Which expression is equivalent to 46+26?


CLEAR CHECK

(16+16+16+16)+(16+16)

46+26

(46+46+46+46)+(26+26)

4+6+2+6

Answers

Answer:

i think its just 46+26

Step-by-step explanation:

sorry if im wrong

using substitution to solve the system below, what expression should be substituted into the first equation?

Answers

The expression should be substituted into the first equation is "x = 8 -2y"  and also the value of x = 3 and y = 2.5

What do you mean by substitution?

The substitution method is an algebraic strategy for resolving simultaneous linear equations. This approach, as the name suggests, involves substituting the value of one variable from one equation into the second equation. This makes it easier to answer a pair of linear equations by combining them into a single equation with a single variable.

The equations given in the question,

2x - 4y = -4

x + 2y = 8

Let these two equation be named as 1 and 2 respectively.

Taking equation 2 and making x stay one side and all others on other side of the equation. We get,

x = 8 -2y

Substituting this value of x in equation 1.

2x - 4y = -4

2(8 - 2y) - 4y = -4

y = 2.5

substituting this value of y in equation 2,

x + 2y = 8

x = 8 - 5

x = 3

Therefore, The expression should be substituted into the first equation is "x = 8 -2y"  and also the value of x = 3 and y = 2.5

To know more about substitution, go to link

https://brainly.com/question/12021786

#SPJ4

Complete Question

Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8

What is the LCM of 3 and 4 and 5 and 6?

Answers

The LCM of 3 and 4 and 5 and 6 is 12 and 30.

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

LCM can be found by different methods like the Listing method, Prime Factorization method, and Division method.

To find LCM using the listing method follow the below steps,

Let A be one number and B be another number. First, list the first few multiples of them.Select the common multiples from multiples of both A and B.Choose the lowest common multiples of both A and B. This is the LCM.

For numbers 3 and 4, LCM is

Multiples of 3 are written as 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, …..etc.

Multiples of 4 are written as 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,...etc.

Common multiples of 3 and 4 are 12, 24, 36..etc.

The LCM is 12.

For numbers 5 and 6, LCM is

Multiples of 5 are written as 5, 10, 15, 20, 25, 30, 35, 40, 45, 50,..etc.

Multiples of 6 are written as 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...etc.

The common multiple of 5 and 6 is found to be 30.

The LCM is 30.

To know more about LCM:

https://brainly.com/question/24510622

#SPJ4

1)
(2x - 3) + 9 ≥ 3 + 4x
4 3

Answers

Answer:

The answer will be x ≤ 3/2

need help fast what is the equation

Answers

The equation is 128 + 2x = 180.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The sum of the same-side interior angles between two parallel lines is supplementary

This means,

128 + 2x = 180

2x = 180 - 128

2x = 52

x = 26

Thus,

The value of x is 26.

The equation is 128 + 2x = 180.

Learn more about corresponding angles here:

https://brainly.com/question/1597341

#SPJ1

Find b: 11/4 = -1/4 + b​

Answers

Answer:

b=3   (PLEASE GIVE BRAINLIYEST)

Step-by-step explanation:

11/4=-1/4+b

12/4=b

b=12/4

b=3/1

b=3

The ratio of accessible parking spots to general parking spots is 2:75. If a parking lot is designed to hold 385 parking spots, how many more general parking spots than accessible parking spots will there be?

Answers

There are 365 more general parking spots than accessible parking spots.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of accessible parking spots to general parking spots is 2:75.

A parking lot is designed to hold 385 parking spots.

So, 2+75=77

Number of general parking spots

= 75/77 ×385

= 75×5

= 375

Number of accessible parking spots

=2/77 ×385

= 10

Now, difference =375-10

= 365

Therefore, the number general parking spots than accessible parking spots are 365.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ1

an elevator starts at the basement with 10 people and discharges them all by the time it reaches the top ??oor, number 6. in how many ways could have the people get o?? the elevator if it only ma??ers the number of people that le?? on each ??oor?

Answers

Answer:

I am so sorry I'm doing this for the 'Help other's' task

Why has she decided to stop mentioning the wallpaper to others?

Answers

The lines are taken from the short story 'The Yellow Wallpaper'. The woman stops mentioning the wallpaper to others because she feels suspicious about it.

The short story summarizes a woman who is suffering from nervous depression and what happens when she comes in contact with wallpaper in her new house which she thinks is alive. Throughout the entire story, the narrator expresses how the woman feels, how she thinks the wallpaper is alive and that it can cause harm to her.

At first glance, she feels that it is ugly, and to get better she describes the entire house. She feels very disturbed when she sees the wallpaper in her bedroom and it makes her feel strange. She becomes so obsessed with the wallpaper to such an extent that she feels like it is the shape of a woman who is alive.

She becomes possessive and feels that the woman in the wallpaper is moving through the entire house so she starts biting and tearing the wallpaper to free the women trapped inside. The entire story mentions the mental health of the women.

To know more about 'The Yellow wallpaper',

brainly.com/question/13819351

#SPJ4

Lydia picked some flowers. She said she picked more than 20 flowers, but less than 40 flowers. The number of flowers Lydia picked is a multiple of 3. List at least 3 numbers that could be the number of flowers Lydia picked.​

Answers

Answer: The numbers of flowers she could have picked are 21, 24, 27, 30, 33, and 36.

Why?: These are all multiples of 3 between 20-40.

someone help please asap

Answers

Answer:

[tex]x= -\sqrt19 -4\\x=\sqrt19-4[/tex]

Decimal version: [tex]x= 8.3589 \\x=0.358899[/tex]

Step-by-step explanation:

1. Move the terms

[tex]x^{2} +10x-2x=5-2[/tex]

2. Collect like terms

[tex]x^{2} +8x=5-2\\x^{2} +8x=3[/tex]

3.  Complete the square, you should get

[tex]x^{2} +8x+16=3+16\\(x+4)^{2} =19[/tex]

4. Solve for X

Please help !!!!!!!!! Meeee

Answers

Answer:

B: 25

Step-by-step explanation:

We want to find 1875/75. 1875=1800+75

So, 1875/75=(1800+75)/75=24+1=25

To find the unit rate for StartFraction 182 dollars Over 14 feet EndFraction,
a. divide both 182 and 14 by 14.
b. multiply both 182 and 14 by 14.
c. divide both 182 and 14 by 182.
d. multiply both 14 and 182 by 182.

Answers

To find the unit rate for Start Fraction 182 dollars Over 14 feet End Fraction,

c. divide both 182 and 14 by 182.

A fraction is a mathematical concept that refers to a component of a whole or, more broadly, any number of equal parts.

An element of the whole is a fraction. The number is shown as a quotient in mathematics, where the numerator and denominator are split.Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.

Step 1: Divide 182 by 182

182 / 182 = 1

Step 2: Divide 14 by 182

14 / 182 = 0.07660818713450292

Learn more about fraction here

https://brainly.com/question/10354322

#SPJ4

you are solving a measurement problem where the numbers 5.07 x 109 and 1.087 x 10−4 are divided. how many significant digits should the quotient have?

Answers

The division of the two numbers in scientific notation 5.07 × 10⁹ ÷ 1.087 × 10⁻⁴ is 4.664 × 10¹³

Scientific Notation

Scientific notation is a means in which we use to represent numbers based on a standard measure.

In this problem, we have to perform a mathematical operation with two numbers expressed in scientific notation.

To divide 5.07 × 10⁹ by 1.087 × 10⁻⁴;

We need to divide 5.07 by 1.087

The result given is 5.07 ÷ 1.087 = 4.664

The second step is to note that when 10⁹ ÷ 10⁻⁴,

Using law of indices, it becomes 10⁹ ÷ 10⁻⁴ = 10⁽⁹⁺⁴⁾ = 10¹³

We can now rewrite our answer as

5.07 × 10⁹ ÷ 1.087 × 10⁻⁴ = 4.664 × 10¹³

Learn more on scientific notation here;

https://brainly.com/question/1767229

#SPJ1

which racing organization saw its television ratings increase 28% over 2021 to a season average of 1.2 million viewers?

Answers

Formula 1 (F1)  is the racing organization which saw its television rating increase 28% over 2021 to a season average of 1.2milion viewers.

Formula 1 (F1) season US Television viewership records,season race audience average is 1.21 million up 28% over record sets in 2021.Formula 1 (F1) breaks record for tv audience size in USA,Twelve of 22 races set in USA in which race more females and youngers viewers,As television viewership record fell by the wayside all year in 2022 the formula 1 world championship season ended as the most viewed over USA television,in addition more females and youngers viewers F1 races on USA television than ever before.

To learn more about Formula 1 (f1),click here.

brainly.com/question/29821726

#SPJ4

Which of the following statements are true?



I. Data sets can only have one mean.

II. Data sets can only have one mode.

III. Data sets can only have one median.

Answers

The answer is Data sets can only have one mode.

Where is the function increasing?

The function increases when x > 0

The function increases when x > 1

The function increases when x > 2

The function increases when x > -3

Answers

According to the given image, the given function is increasing at (C) x > 2.

What are functions?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The relationship between the input or domain and the output or range is known as the function rule.

If and only if there is a single value in the range for each domain value, a relation is a function.

A function is denoted by the notation f x, where x is the input value.

A function has the general form y = f x.

So, let's consider the given image:

The function is increased from the point +2 on the x-axis.

Which can be the point x > 2.

Therefore, according to the given image, the given function is increasing at (C) x > 2.

Know more about functions here:

https://brainly.com/question/29523308

#SPJ1

Complete question:
Where is the function increasing?

a. The function increases when x > 0

b. The function increases when x > 1

c. The function increases when x > 2

d. The function increases when x > -3


Helpppppppppppppppppppppppp

Answers

Answer:

Christianity bc its the earliest for everything

How much pure (100\%100%100, percent concentration) alcohol should they include in a 600\,\text{mL}600mL600, start text, m, L, end text bottle to make a 68\%68%68, percent mixture?

Answers

Using the percentage by volume of the solutions, we can calculate that we require 216 mL of 100% alcohol and 384 mL of 50% alcohol.

What is the percentage by volume?

Volume/volume percentage is a unit used to represent how much of a substance is present in a solution.

It is sometimes referred to as v/v percent or %v/v.

It is calculated by dividing the volume of the solute by the total volume of the solution, then multiplying the result by 100.

So, we are aware of:

A + B = 600 mL

We also know that the total alcohol concentration of the final solution must be equal to:

0.68 * 600 mL = 408 mL

Therefore, it follows that:

0.50 * A + B = 408 mL

The first equation leads to the following conclusion:

A = 600 mL - B

Using that A in the second equation, we arrive at:

0.50 * (600 mL - B) + B = 408 mL

300 mL - 0.50 B + B = 408 mL

If we rewrite this equation as follows:

B - 0.50 * B = 408 mL - 300 mL

0.50 * B = 108 mL

B = 108 mL / 0.50

B = 216 mL

A = 600 mL - 216 mL = 384 mL

Therefore, using the percentage by volume of the solutions, we can calculate that we require 216 mL of 100% alcohol and 384 mL of 50% alcohol.

Know more about the percentage by volume here:

brainly.com/question/19379932

#SPJ1

Complete question:
A factory has a batch of hand sanitizer with 50\%50%50, percent alcohol content. How much pure (100\%100%100, percent concentration) alcohol should they include in a 600\,\text{mL}600mL600, start text, m, L, end text bottle to make a 68\%68%68, percent mixture?

we are asked to test for independence between age (i.e., adult and teen) and drink preferences. the test statistic for this test of independence is

Answers

The value of test statistic for test of independence is 62.5

The Chi-square test of independence checks that two variables are related or not. We have to count for two nominal variables. We also believe that the two variables are unrelated. The test allows us to determine whether or not our idea is plausible.

The sections that follow go over what we need for the test, how to perform it, understanding the results, statistical details, and p-values.

Given,

the table shows the beverage preferences for random samples of teens and adults.

For calculating the test statistics,

First wee need to calculate the expected values of every observed values.

Expected values for teens,

[tex]E(50)=\frac{250*400}{1000}=100\\\\E(100=)\frac{250*400}{1000}=100\\\\E(200)=\frac{400*400}{1000}=160\\\\E(50)=\frac{100*400}{1000}=40[/tex]

Expected values for adults,

[tex]E(200)=250-100=150\\\\E(150)=250-100=150\\\\E(200)=400-160=240\\\\E(50)=100-40=60[/tex]

Now, the test statistic is given by:

[tex]X^2=\frac{\sum\limits^n_{i=1}(O_i-E_i)^2}{E_i}[/tex]

Where, Ei=expected value and Oi = observed value

[tex]X^2=\frac{(50-100)^2}{100}+\frac{(100-100)^2}{100}+...\frac{(200-240)^2}{240}+\frac{(50-60)^2}{60}=62.5[/tex]

So, the value of test statistic for this test independence is 62.5.

To learn more about test statistic refer here

https://brainly.com/question/29392431

#SPJ4

Your question is incomplete, here is the complete question

The table below gives beverage preferences for random samples of teens and adults.

                  teens adults total

coffee      50 200        250

tea              100 150        250

soft drink      200 200        400

other       50 50        100

                     400 600        1000

we are asked to test for independence between age (i.e., adult and teen) and drink preferences. the test statistic for this test of independence is ?

Circle all statements that MUST be true
a. Diagonals of parallelograms bisect each other
b. Parallelograms have four congruent sides
c. Isosceles triangles have 3 congruent angles
d.
If the endpoints of a line segment are equidistant from a third point, that third point lies on the
perpendicular bisector of the line segment.
7. Find the value of X, Y. Show your work

Answers

Answer:

6) True, False, False, True;7) x = 135, y = 45.

--------------------

Question 6

a. Diagonals of parallelograms bisect each other

TRUE

b. Parallelograms have four congruent sides

FALSE, it is true for rhombus

c. Isosceles triangles have 3 congruent angles

FALSE, it has 2 congruent angles as two sides are congruent.

d. If the endpoints of a line segment are equidistant from a third point, that third point lies on the perpendicular bisector of the line segment.

True

Question 7

Adjacent angles of a parallelogram are supplementary and opposite angles are congruent.

x + y = 180 and y = 45

Find x:

x + 45 = 180x = 180 - 45x = 135

!Help! Can someone help me solve for the variables?

I know the sum is 360 but i don't know where to start.

Answers

The measure of a° is 144°.

The measure of b° is 67°.

What is a trapezium?

A trapezium is a quadrilateral where 1 pair of sides are parallel and the sum of angle pairs between parallel lines is 180 degrees.

We have,

Two parallel lines.

The sum of the angle pairs between parallel lines = 180°

This means,

a + 36 = 180

a = 180 - 36

a = 144

b + 113 = 180

b = 180 - 113

b = 67

Thus,

The value of a° is 144°.

The value of b° is 67°.

Learn more about trapeziums here:

https://brainly.com/question/22607187

#SPJ1

Please help me if I don’t do it I will fail my class

Answers

I think that's about right...

Just copy the image down onto your paper

A jar contains 4 blue marbles, 6 red marbles, 10 purple marbles, and 5 green marbles. If you choose one marble, what is the probability that it won't be green?.

Answers

Answer: 4/5

Step-by-step explanation:

Let's start with what we know:

4 blue

6 red

10 purple

5 green

So, we have 25 total and 5 green. But we are trying to find the probability it won't be green, in which we have 20 marbles. So the probability it won't be green is 20/25 = 4/5.

Melinda can paint 14 of a wall in the same time that desiree can paint 25 of a wall. How much of a wall will melinda have painted when desiree has finished painting 1 wall?.

Answers

Melinda will have painted 56 percentage of a wall for the time taken by Desiree, when she has finished painting 1 wall.

The computation of the difference between the time taken by Desiree and Melinda to paint walls at their respective speeds can be shown using the generalized calculations, as expressed hereunder,

Desiree will take 4x the time for painting 1 wall completely (25x4=100%). Thus, the amount of time taken by Melinda will also be 4x of her actual time, as below,

14×4= 56%

Therefore, Melinda will have covered 56 percent of the wall in the time when Desiree completes painting the entire wall.

Learn more about time taken here:

https://brainly.com/question/16963199

#SPJ4

Help with question 14

Answers

Answer:

Step-by-step explanation: I think its the second one

Other Questions
What value of P makes this equation true2p=-3p-6/4 a 20.00 ml volume of h2so4 solution is titrated with 0.125 m naoh. the initial volume of naoh in the buret is 0.75 ml and the final volume is 42.35 ml. determine the concentration of the h2so4 solution. a. 0.115 m h2so4 b. 0.150 m h2so4 c. 0.300 m h2so4 d. 0.130 m h2so4 e. 0.260 m h2so4 which of the following statements about communication in today's business organizations is most accurate? group of answer choices many companies used intranets to communicate with customers, outside vendors, and governmental agencies. smartphones and tablet computers are prevalent in the workplace but do not have the capabilities to replace laptops and personal computers. wireless access is increasingly blanketing entire office buildings, airports, hotels, restaurants, school and college campuses, cities, and other public spaces. the most common workplace use of tablet computers is blogging. What was one effect of these actions on the united states? question 5 options: a. the signing of the treaty of guadalupe hidalgo b. international criticism of the monroe doctrine c. the expansion of manufacturingd. increased profits from international commerce the nurse is preparing to administer an antidiarrheal to a client. the nurse will question this order if which organism is documented on the stool sample report? select all that apply. what is the effective-interest method of amortization and how is it different from and similar to the straight-line method of amortization Which BTS song has best music? Which of these can arguably lead to a more participative structure and lead to improved communication in the organization?a. Vertically tall structuresb. Structural interventions c. Centralization d. Command-and-control structure e. Decentralization 01 Sean's boss asks him to write an email message to all employees to tell them how to request computer help This message will be an example ofa) internal-operational communicationb) external-operational communicationc) personal communicationd) both internal-operational and external-operational communicatione) both internal-operational and personal communication Although the sumerians gave rise to the earliest examples of writing in cuneiform on clay tablets, we have less art available from this culture than from the ancient egyptians of the same period. How is this possible?. jasmine, a 40-year-old single taxpayer, contributed $5,000 to her traditional ira. she is an active participant in a retirement plan at work. her ira modified adjusted gross income is $76,500. what is her ira adjustment to income? In the late twentieth century, members of conservationist and environmentalist movements would most likely have cited the data in all of the following lines of the table as support for their concerns EXCEPT How many calories do you burn in 10 minutes of cycling? signals can come in many shapes and sizes from nitric oxide to a small protein. some signals cannot pass through the membrane and thus need to bind to cell surface receptors, and some signals can pass through the membrane and bind cytosolic receptors. what chemical characteristics would you expect membrane soluble signals to have and what chemical characteristics would you expect membrane insoluble signals to have? - which type of antibody is produced first and in greater amounts upon subsequent exposures to an antigen (weeks, months, years, or decades after the initial exposure)? reconstruction is often characterized as a failure, though there were some successes. what were some of the achievements of the new republican state governments established during reconstruction? a client who has had abdominal surgery develops an infection in the wound while still hospitalized. which precautions are implemented by the nurse to prevent the spread of infection? in the laboratory you dilute 2.29 ml of a concentrated 6.00 m hydrochloric acid solution to a total volume of 100 ml. what is the concentration of the dilute solution? which of the followeing describes a situation wherer regulated firms play a significant role in setting the regulations they will dollow What is the sum when you add seven-and-five-twelfths and three-and-seven-twelfths together? Make sure to show the answer in simplest terms