PLEASE HELP Line Segment AD=11x+10.6. Find the length of AB and CD. Show all work

PLEASE HELP Line Segment AD=11x+10.6. Find The Length Of AB And CD. Show All Work

Answers

Answer 1

Answer:

AB=11.4

CD=24.4

Step-by-step explanation:

Since AD=11x+10.6, then AB+BC+CD = AD.

Hence,

2x+3+21+7x-5=11x+10.6

Combine like terms:

9x+19 = 11x+10.6

Subtract 9x on both sides:

19 = 2x+10.6

Subtract 10.6 on both sides:

2x=8.4

Divide by 2 on both sides:

x=4.2

Since AB=2x+3, AB=11.4

Since CD=7x-5, CD=24.4


Related Questions

What is the domain of f(x) = 7/(x-10) - 7

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

For the given function :

[tex]\qquad \sf  \dashrightarrow \: f(x) = \dfrac{7}{x - 10} - 7[/tex]

f(x) is defined for all real values of x, except the value of x for which the denominator becomes 0, because if denominator is 0, the function at that instant will be undefined.

that is : f(x) is not defined when :

[tex]\qquad \sf  \dashrightarrow \: x - 10 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 10[/tex]

Hence, f (x) is defined for all real values of x except 10

It can be represented as :

[tex]\qquad \sf  \dashrightarrow \: f(x) : x \in R \sim \{10 \}[/tex]

Determine the point(s), if any, at which the graph of the function has a horizontal tangent line. Y= 1/2x^2 +7x (Give the answer as x,y coordinates)

Answers

Answer:

i don't know how to attach the file

How to solve this problem? -2x + 4 < 16

Answers

Answer:

the answer is 7+1-7+0/xx{12

Step-by-step explanation:

the answer above stated is correctly corrected correct

3=
X/
3

One step equations with positive whole number

Answers

Answer: x=6
Explanation: 3=x/3 multiply 3 to both sides and then 6=x or swap the numbers and get x=6

How much colder was Tuesday then Saturday? if

Answers

+5 degree.

Formula for Length Change due to Thermal Expansion: The formula for calculating the change in length of a substance due to thermal expansion is ΔL=αLΔT Δ L = α L Δ T where L is the original length of the substance and ΔT is the change in temperature of the substance either in degrees Celsius or in Kelvin.

For comparision of temperature -

Subtract the final temperature from the starting temperature to find the difference. So if something starts at 50 degrees Celsius and finishes at 75 degrees C, then the change in temperature is 75 degrees C – 50 degrees C = 25 degrees C.

Given data

temperature of tuesday = 55 degree

temperature of saturday = 60 degree

Difference between temperature  = 60 -55 = 5 degree.

Hence, 5 degree more colder was Tuesday then Saturday.

To learn about temperature

visit - https://brainly.com/question/12293537

#SPJ9

The arcade charges 24 tokens to play 6 games.
How many tokens will 10 games cost?

Answers

Answer: 40

Step-by-step explanation:

if 6 games = 24 tokens

then 1 game = 24/6=4

so 10 games = 4*10=40

Answer:

40

Step-by-step explanation:

24/6 = 4 tokens per game

4*10 games = 40

Helpp??
A playground has 2 slides,
3 swings, and monkey bars.
What's the probability that a kid
will decide to use a slide if they
pick at random?

Answers

Answer: 33.32% or 33.2% ( depending on rounding ) chance that the a will decide to use a slide if they pick at random.

Explanation:

2 slides + 3 swings + 1 monkey bars = 100%

There are 6 items in total so 100/6= 16.66 or 16.6.

Since there are 2 slides multiply the chance for each by 2, 16.66 or 16.6 * 2 = 33.2% or 33.32%

This week Andrei got a promotion at work that came with a 2 % pay increase. If now his monthly salary is $ 1683 , how much was he making before the raise?

Enter your answer as a decimal. If needed, round to the nearest penny. Do not use commas.

Answers

1683 доллара - 102% . Найдем 1  процент и умножим его на 100%, тем самым получив ответ:

1) 1683 / 102 = 16.5 доллара - 1 % от всей зарплаты

2) 16.5 * 100 = 1650 - изначальная сумма, которую получал Андрей до повышения.

Ответ : 1650 $

A support pole for an ancient structure is found to have one-sixth of the carbon-14 of a modern, living tree. How long ago did the tree used to make the support pole die? Give your answer to the nearest whole number. (Assume that half-life of carbon-14 is 5770 years.)

Answers

14912 years ago, the tree that was used to kill the support pole died which is one-sixth of the carbon-14 of a modern, living tree.

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

One-sixth of a modern, living tree's carbon-14 is present in an ancient structure.

Assume that the half-life of carbon-14 is 5770 years

As per the given condition, the expression would be

[tex]A(t) = A_o}\dfrac{1}{2} ^{(\frac{t}{5770} )}\\A(t) = (0.167)A_o}[/tex]

[tex](0.167)A_o} = A_o}\dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

[tex](0.167) = \dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

Take the logarithms of both sides to get:

[tex]log(0.167) =log \dfrac{1}{2} ^{(\frac{t}{5770} )}[/tex]

Using logₐ(xⁿ) = n logₐx.

⇒ log 0.167= (t/5770) log (0.5)

⇒ log 0.167/ log (0.5)= (t/5770)

⇒ 3 = (t/5770)

⇒ t = 3 × 5770

⇒ t = 14912

Hence, 14912 years ago, the tree that was used to kill the support pole died.

Learn more about the logarithmic properties here:

brainly.com/question/24211708

#SPJ1

find the value of x in 5/9 = x/54

Answers

Answer:

[tex] \large \sf \: x=30[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

5/9 = x/54

Step 1: Cross-multiply.

5/9 = x/54

(5)*(54)=x*(9)

270=9x

Step 2: Flip the equation.

9x=270

Step 3: Divide both sides by 9.

9x/9 = 270/9

x=30

Determine whether or not the distribution is a probability distribution and select the reason(s) why or why not. X 0 1 2 P(X) 0 1/3 2/3 Select all that apply: The given distribution is a probability distribution, since the probabilities lie inclusively between 0 and 1. The given distribution is not a probability distribution, since at least one of the probabilities is greater than 1 or less than 0. The given distribution is a probability distribution, since the sum of probabilities is equal to 1. The given distribution is not a probability distribution, since the sum of probabilities is not equal to 1.

Answers

The distribution is a probability distribution, and the reasons are

The given distribution is a probability distribution, since the probabilities lie inclusively between 0 and 1. The given distribution is a probability distribution, since the sum of probabilities is equal to 1.

How to determine whether the distribution is a probability distribution?

The probability distribution is given as:

X     0   1    2

P(X) 0 1/3 2/3

From the above table of probability distribution, we can see that each probability value is between 0 and 1 (inclusive)

Also, the sum of probabilities is 1

i.e. 0 + 1/3 + 2/3 = 1

Hence, the distribution is a probability distribution, and the reasons are

The given distribution is a probability distribution, since the probabilities lie inclusively between 0 and 1. The given distribution is a probability distribution, since the sum of probabilities is equal to 1.

Read more about probability distribution at

https://brainly.com/question/14525371

#SPJ1

Write the equation of the line that passes through the point P (0, 0) and is perpendicular to the line y = – 2x + 10.

Answers

The equation of the line that passes through the point (0,0) and is perpendicular to the line y=-2x+10 is .

We will be using the concept of slope and equation of straight line for this question. Here it has been said that the line passes through (0,0) which is the origin, so we know the point ([tex]x_{1},y_{1}[/tex]) is (0,0).This point will be required while solving the equation for the straight line. The line is said to be perpendicular to another line given by y=-2x+10. When two lines are parallel their slopes are equal and when two lines are perpendicular the product of their slopes is equal to -1. The slope of a line can be found from the equation of the line by dividing the coeeficient of x by the coefficient of y.

Slope of y=-2x+10 is -2

mx-2=-1⇒m=1/2

equation of a straight line,

[tex](y-y_{1} )=m(x-x_{1} )\\[/tex]

⇒y-0=[tex]\frac{1}{2}[/tex](x-0)

⇒y=[tex]\frac{x}{2}[/tex]

⇒2y=x

⇒2y-x=0

Thus the equation of the line that passes through (0,0) and is perpendicular to y=-2x+10 is 2y-x=0.

Learn more about equation of straight line from here:

https://brainly.com/question/8407887

#SPJ9

Find the measure of the missing angles.

Answers

Answer:

x=26, y=90

Step-by-step explanation:

This is what I did,

I knew that y = 90 because it is a Right Angle. I subtracted 90 - 64 and that got me = y 26

On the weekdays a grocery store has 14301 customers and on the weekends the grocery store has 11856 customers . How many more customers does the grocery store have on weekdays than on weekends?

Answers

Answer:

2445

Step-by-step explanation:

it would have 2445 more costumers

Answer:

2445

Step-by-step explanation:

Subtract.

14301 - 11856 = 2445 more people on weekdays

Jack has 80 marbles.
He gives 1/5
of the marbles to his friends.
(c) Work out how many marbles Jack now has.
inq

Answers

Answer:

He now has 64 marbles.

Step-by-step explanation:

This is because 1/5 of 80 is 16.

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

Step-by-step explanation:

it would be great if u had the image, but at least I can give some advice: use the method of rise over run to find the slope. use 2 points and count the number of squares "rising" and turn right and count the number of squares "running". left and down if it's going downward.

for the y intercept, find the x that equals 0. your coodinate should look like this: (0, *insert y*)

40 Members of arwick youth club go on a trip to a leisure centre they go in minibuses that can each seat up to 15 people. It costs £30 for each minibus and £150 for the group to have use of the leisure centre. How much will the trip cost per person

Answers

The trip cost per person is 6 pounds.

What is a unit rate?

Unit rate is the ratio of two different units, with the denominator as 1.

It means a rate for one of something.

We have,

Total members = 40

Each minibus cost = 30 pounds

Leisure centre cost = 150 pounds

Each minibus can carry = 15 people

The number of minibusses needed to carry 40 members:

= 40 / 15

= 2.67

= 3 minibusses.

This means we need  3 minibusses to carry 40 members.

Now,

The total cost for the trip:

= 150 pounds + 3 x 30 pounds

= 150 + 90

= 240 pounds

The cost per person:

= 240 / 40

= 6 pounds

Thus the trip cost per person is 6 pounds.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ1

-1.12345...
rational, irrational and or real number?

Answers

Answer: Irrational Number

Step-by-step explanation: It's Irrational because it cant be represented as a simple fraction.

Irrational Number is going to be your answer

Dots sells T-shirts ($7) and shorts ($9). In April, total sales were $572. People bought 5 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?

Answers

Dots sold 65 T-shirts and 13 shorts

How to calculate the number T-shirts and shorts ?

let the x represent the number of T-shirts and y and shorts

7x + 9y= 572.......equation 1

x= 5y........equation 2

substitute 4y for x in the equation

7(5y) + 9y = 572

35y  + 9y= 572

44y= 572
y= 572/44

y= 13

substitute 13 for y in equation 2

x= 5(13)

x= 65

Hence there 65 T-shirts and 13 shorts

Read more on equation here

https://brainly.com/question/22243794

#SPJ1

6. A household spend 120 on purchase of a commodity when it price is 6 per unit. When the rises to 10 per unit his total expenditure on this commodity becomes 180.calculate price elasticity of demand by percentage change method.​

Answers

Therefore, the price elasticity of demand by percentage change method is -0.025.

Given the price of a first commodity (p₁) = 6 rs

the price of a second commodity (p₂) = 10 rs

Expenditure on first commodity (s₁) = 120

Expenditure on second commodity (s₂) = 180

We need to find the quantity as

120 = 6 * Q₁.              180 = 10 * Q₂

Q₁ = 120 / 6                 Q₂ = 180 / 10

Q₁ = 20                         Q₂ = 18

price elasticity of demand by percentage change method as

Eₐ = P / Q * ΔQ /ΔP

ΔQ = Q₂ - Q₁ = 18 -20 = -2

ΔP = p₂ - p₁ = 10 - 6 = 4

Eₐ = 6 / 120 * -2 / 4

Eₐ = - 0.025

Therefore, the price elasticity of demand by percentage change method is -0.025.

To learn more about the price elasticity of demand by percentage refer below

https://brainly.com/question/5425317

#SPJ9

Will mark u brainliest Question
Question
What is the turning point of the graph of f(x)=|x−2|+3?
(2, 3)

(−3, 2)

(3, 2)

(2, −3)

Answers

The turning point of the function f(x) = |x-2| + 3 will be (3, 2).

Here,

We have to find the turning point of the graph of function,

f(x) = |x−2|+3

What is an absolute function?

The non-negative value of real number without regard to its sign is known as its absolute value.

Now,

The absolute function is;

f(x) = |x+3| -2.

Since, When we plot the graph of the absolute function f(x) = |x+3| -2,

it will give two straight lines which is shown in the graph.

Clearly, The graph of the function changes its position at the coordinate

(3, 2).

Therefore, The absolute function having its turning point at the coordinate ( 3, 2).

To know more about absolute functions visit:

https://brainly.com/question/25971887

#SPJ1

One pizza will feed 5 people. How many pizzas are needed for 40 people?

Answers

Answer:

8 pizzas

Step-by-step explanation:

8 pizzas are needed. 40/5 = 8

translation: (x,y) →(x - 5, y + 1)
Z(−3, –4), K(−2, −1), (0, -1)

Answers

The translation of the points as Z' ( - 8 , - 3 ), K' ( - 7 , 0 ) and K' ( - 5 , 0 ).

We are given the translation as:

(x , y)  → (x - 5 , y + 1)

Now we have some points:

Z (−3, –4)

K (−2, −1)

M (0, -1)

We need to translate these points.

For Z (−3, –4), we get the translation as:

Z (−3, –4) = Z' ( - 3 - 5 , - 4 + 1)

Z (−3, –4) = Z' ( - 8 , - 3 )

For K (−2, −1), we get the translation as:

K (−2, −1) = K' ( - 2 - 5 , - 1 + 1)

K (−2, −1) = K' ( - 7 , 0 )

For M (0, -1), we get the translation as:

M (0, -1) = K' ( 0 - 5 , - 1 + 1)

M (0, -1) = K' ( - 5 , 0 )

Therefore, we get the translation of the points as Z' ( - 8 , - 3 ), K' ( - 7 , 0 ) and K' ( - 5 , 0 ).

Learn more about translation here:

https://brainly.com/question/25950911

#SPJ9

A 13 foot ladder is leaning on a wall. the bottom of the ladder has a diatance of 5 feet from the base of the wall.

What is the distance, in feet, between the ground and the top of the lafder?

Answers

Answer:

Subscribe to itsIceboiiYT

Michael grabs a marble from a bag. There are 5 green marbles and 1 red marble. If he grabs the red marble he loses everything he bet on. The marbles are not put back into the bag. The max amount of times Michael can bet on the same game is 4. If he bets 300 and wins 578 (having 278 as winnings), he has the choice to bet again with everything he earned for 682. Then he has the choice to do so again for 945, then 1312 at max. At what point in the game should Michael stop playing to gain the most given the percent of risk of losing the game? What point in the game is the least beneficial for Michael's gains?
First bet (300 -> 578)
Second bet (578 -> 682)
Third bet (682 -> 945)
Fourth bet (945 -> 1312)
If Michael wins every round he would go from 300 to 1312. If he loses, he doesn't gain any of the rewards and is 300 in debt.

Answers

Using the expected value of a discrete distribution, it is found that:

Michael should stop playing the game after the first round.The fourth round is the least beneficial round for Michael.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For the probabilities, we consider that it is given by the number of desired outcomes divided by the number of total outcomes.

For one bet, the distribution is given as follows:

P(X = 578) = 5/6 (5 green marbles out of 6).P(X = -300) = 1/6.

Hence the expected value is given by:

E(X) = 578 x 5/6 - 300 x 1/6 = $431.67.

For two bets, the distribution is given as follows:

P(X = 682) = 5/6 x 4/5 = 2/3.P(X = -300) = 1/3.

Hence the expected value is given by:

E(X) = 682 x 2/3 - 300 x 1/3 = $354.67.

For three bets, the distribution is given as follows:

P(X = 945) = 5/6 x 4/5 x 3/4 = 1/2.P(X = -300) = 1/2.

Hence the expected value is given by:

E(X) = 945 x 1/2 - 300 x 1/2 = $322.5.

For four bets, the distribution is given as follows:

P(X = 1312) = 5/6 x 4/5 x 3/4 x 2/3 = 1/3.P(X = -300) = 2/3.

Hence the expected value is given by:

E(X) = 1312 x 1/3 - 300 x 2/3 = $237.33.

Hence, considering the greatest and the smallest expected values, we have that:

Michael should stop playing the game after the first round.The fourth round is the least beneficial round for Michael.

More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440

#SPJ1

What are the solutions to –24x – 24 = x3 + 8x2?

Answers

Answer:

–24x – 24 = x3 + 8x2

Step-by-step explanation:

-24x-24=x^3+8x^2

x^3+8x^2+24=-24x-24+24

x^3+8x^2+24=-24x

x^3+8x^2+24+24x=-24x+24x

x^3+8x^2+24x+24=0

Answer: x=-2

Step-by-step explanation:

[tex]-24x-24=x^3+8x^2\\-24x-24+24=x^3+8x^2+24\\-24x=x^3+8x^2+24\\-24x+24x=x^3+8x^2+24+24x\\0=x^3+8x^2+24x+24\\x^3+8x^2+24x+24=0\\x^3+8x^2+12x+12x+24=0\\(x)(x^2+8x+12)+(12)(x+2)=0\\(x)(x^2+2x+6x+12)+(12)(x+2)=0\\(x)((x)(x+2)+6(x+2))+(12)(x+2)=0\\(x+2)((x)(x+6)+12)=0\\ (x+2)(x^2+6x+12)=0\\x+2=0\\x+2-2=0+(-2)\\x=-2\\x^2+6x+12=0\\D=(-6)^2-(4)(1)(12)\\D=36-48\\D=-12\\Hence,\\The\ equation\ has\ no\ valid \ roots\\Thus,\\x=-2[/tex]

Question
Consider the following two loans for Po = $15,000.
• Loan A: 5 year loan, annual interest rate of 8%, monthly repayments of $304.15.
Loan B: 3 year loan, annual interest rate of 11%, monthly repayments of $491.08.

Calculate the absolute difference between the total interest paid on both loans. Give your answer to the nearest ten dollars.
Do not include the dollar sign in your answer

Answers

Answer:

570

Step-by-step explanation:

570

The absolute difference that is between the loans paid as 570

How to solve for the absolute difference

We have the following details:

Po = $15000

loan a 5 year loan, interest = 8 percent and repayments = 304.15 dollars

Loan b

3 year loan, interest = 11 percent repayments = $491.08

Total number of repayments = 5 x 12 = 60

Total repayments = 304.15 dollars x 60

= $18249

The total interest that is paid for A would be

$18249 - $15000

= $3249

For the second loan

Total number of repayments = 3 x 12 months = 36

Total repayment = 36 x 491.08 = $17678.88

The total interest for the loan B would be: $17678.88 - $15,000

= $2678.88

Then the absolute difference between the paid loan would be

$3249 -  $2678.88 = 570.12

Hence we would have the absolute difference that is between the loans paid as 570.

Read more on absolute difference here:

https://brainly.com/question/24368848

#SPJ1

(3x 3 +4x 2 )+(3x 3 −4x 2 −9x)

Answers

Answer:

9x

Step-by-step explanation:

=9x+8x+9x-8x-9x

=9x

9x is going to be your answer

Find the domain of f(x) and the interval.
f(x)=√x² - 2x +48

Answers

Answer:

Step-by-step explanation:

go pathways gives all the answers


A spring with a spring constant of 1N/cm is stretched and has elastic potential energy of 30 j. Calculate the extension experienced by
the spring.

Give your answer to 2 decimal places.

Answers

Th elastic potential energy of two decimal places is    k=60×1^2 N/M

Given that,

Spring has a potential energy of =30 J

we know that,

Energy of a spring=1/2 kx^2

here, x=1cm

x^2=0.01m

30=1/2 kx^2

30=1/2 k(0.01)^2

60=k(0.01)^2

k=60/(0.01)^2

k=60×1^2N/M

Hence the potential energy of two decimal places is k= 60×1^2 N/M

To learn more about Decimal Places, visit

brainly.com/question/24137725

#SPJ9

Other Questions
True or False: In order for physical evidence to be used effectively for aiding an investigator, it must first be photographed and tagged as evidence and turned over to the officer in charge of the crime scene. Bonjour je galere en maths avec cet exercice de Pythagore qui pour m'aider svp Two variables are defined, a regression equation is given, and one data point is given.HgtAgeheight in inchesage in years of a child=Hgt 24 + 2.72(Age)The data point is a child 12 years old who is 60 inches tall.Need help on part a Check the correctness of the formula, . Where, t is the time period, m is the mass and k is the force per unit displacement. [2] Three fifth of the T-shirts in a T-shirts shop are blue. Five eights of those T-shirts are on sale.One third of the blue T-shirts that are on sale are size medium. What fraction of the shops T-shirts are blue T-shirts that are on sale and are size medium? Why is it theorized that the asteroids dienot merge to form a planet? Can someone help me with this? Help! What role does lactase play in breaking apart the disaccharide lactose?lactase provides a binding site for lactose to initiate chemical breakdown.lactase lowers the activation energy needed to begin breaking down lactose. lactase releases heat during the breakdown of lactose.lactase prevents too many disaccharide molecules from clumping together during chemical reactions if a manager finds a severe decline in employee morale and direction, he or she may need to spend more time in the role. How many milligrams of sodium chloride are in a liter of solution that has 4.50 x 10-6 kg of sodium per liter? 17. Given: CuSOKlCul_K50)Answer the following:a. Determine the limiting reactant when 6.76 grams of copper(II) sulfate is reacted with 9.82grams of potassium iodide?b. Using the information from (a), what would be the mass of all three products?C.If 0.331 grams of iodine is produced, how many molecules of KI were reacted? Mina has 2.40. If she gives half to her brother how much money does she have left which word or phrase describes a word that has been defined A recipe for oatmeal cookies calls for 5 cups of flour for every 8 cups of oatmeal. How much flour is needed for a big batch of cookies that used 16 cups of oatmeal? Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. a health insurance policy applicant unintentionally failes to list a previous visit to a neurologist if the policy is issued and the insurer later decideds Select all the correct answers.If a figure is a square, its diagonals divide it into isosceles triangles.p: A figure is a square.q: A figure's diagonals divide into isosceles triangles.Which represents the converse of this statement? Is the converse true?000The converse of the statement is sometimes true and sometimes false.q+pThe converse of the statement is false.The converse of the statement is true.9-PP-9O ~p~9 the performance of business activities designed to plan, price, promote, and direct the flow of a companys goods and services to consumers or users in more than one nation for a profit is known as marketing. the maximum size of a cell is limited by . view available hint(s)for part a the maximum size of a cell is limited by . its need for enough surface area to make exchanges with its environment the number of organelles that can be packed inside the materials needed to build it the amount of flexibility it needs to be able to move What elements of the story make it relatable to you as a reader or make it hard for you to relate to the story? Is it the characters, word choice, or dialogue? Is it some other element?