A, B, C, D are points on a line.
AB = 1
BC = 2
CD = 4

Find the length of segment AD. Consider all possibilities.
So far, I've only gotten 7, 5, and 1. But I know there is one left. Can you guys help?

Answers

Answer 1

The points A, B, C and D are collinear points

The length of the segment AD is 7 units

How to determine the length AD?

The given parameters are:

AB = 1

BC = 2

CD = 4

Because the points are on the same line, then the following is the possible equation

AD = AB + BC + CD

Substitute known values

AD = 1 + 2 + 4

Evaluate the sum

AD = 7

Hence, the length of the segment AD is 7 units

Read more about line segments at:

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Related Questions

Sam is climbing 9000 m every 30 minutes. How many meters will he climb in 1 hour

Answers

Answer:

18000 m

Step-by-step explanation:

Hey there!

In order to solve this problem, we need to first know how many minutes are in an hour

As you know, there are 60 minutes in an hour so this means in 1 hour, he will climb 9000 meters two times

So 9000 two times is 18000,

Meaning, in 1 hour, Sam will climb 18000 m

Answer:

18,000m in an hour

Step-by-step explanation:

We know this because if its 9000 m in 30 minutes, we can do 9000 x 2 and get 18,000m for an hour.

What is the area, in square feet, of the rectangle shown below​

Answers

Answer:

Step-by-step explanation I can answer if you pin in the pic below

Step by step I can answer if you put the pic below..

Mr. Oppong makes monthly payments into his savings account. He saved Gh¢800.00 in the second month, Gh¢3,200.00 in the third month and he continued in tha same proportion in subsequent months. In what month would his savings first exceed Gh¢20,000.00?​

Answers

Answer:

5th month

Step-by-step explanation:

the relationship between the second and third month is that the 2nd month's salary was multiplied 4 to get the third month's salary

therefore the salaries for the next months will be

4th month=Gh¢12800.00

5th month=Gh¢51,200.00 which exceeds 20,000

Using proportions to solve for missing sides.
RST~YSZ, find YZ.

Answers

Answer:

  YZ = 28

Step-by-step explanation:

A proportion involving the known and unknown sides is ...

  TR/ST = ZY/SZ

__

This proportion uses SZ, which is not shown on the diagram. The length of SZ can be found from ...

  SZ +ZT = ST . . . . . . . segment sum theorem

  SZ + 5 = 40 . . . . with given values

  SZ = 35 . . . . . subtract 5

__

So, the proportion with values filled in is ...

  (3x -7)/40 = (2x +2)/35

  7(3x -7) = 8(2x +2) . . . . . . . multiply by 280

  21x -49 = 16x +16 . . . . . . . eliminate parentheses

  5x = 65 . . . . . . . . . . add 49 -16x

  x = 13 . . . . . . . . divide by 5

  YZ = 2x +2 = 2(13) +2

  YZ = 28

_____

Additional comment

RT = 3x -7 = 3(13) -7 = 32

simplify 3(r + 4) - 5r

Answers

Answer: 12-2r

Step-by-step explanation:

3r+12-5r

= -2r+12 or 12-2r

Answer:

-2r + 12

Step-by-step explanation:

simplify 3(r + 4) - 5r

3(r + 4) - 5r <== distribute first

3(r) + 3(4) - 5r

3r + 12 - 5r <== combine like terms

-2r + 12 <== final answer

Hope this helps!

Which correctly compares the numbers?

518,317 > 518,246 > 518,197
678,200 > 678,194 > 678,227
290,061 > 289,937 > 290,324
158,364 > 158,379 > 158,397

Answers

Answer:

518,317 > 518,246 > 518,197

Dianne has $0.95 in dimes and nickels . She has a total of 11 coins . How many of each kind does she have ?

Answers

Answer:

8 dimes and 3 nickels

Step-by-step explanation:

If we change $0.95 to $0.9 + $0.05, we get 9 dimes and 1 nickel. However, that is only 10 coins. We can then try 8 dimes and 3 nickels. When you add them up, they equal $0.95. Also, there are 11 coins in total. Therefore, 8 dimes and 3 nickels is the answer.

I hope this helps and please mark me as brainliest!

d. A bag of fertiliser is made up of nutrients: nitrogen, phosphorus and potassium in the ratio 3:1:2. If the bag of fertiliser contains 14 kg of phosphorus, calculate how much nitrogen it contains. [3]​

Answers

Answer:

42

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

[tex]14\times 3\div 1[/tex]

______________________________________________

Calculate

[tex]14\times 3[/tex]

______________________________________________

Calculate the product or quotient

[tex]42[/tex]

I hope this helps you

:)

5, 5, 9, 11, 13

Mean:

Median:

Range:

Answers

Answer:

The median is 9

The Range is 13-5=8

The mean is 5+5+9+11+13/5=43/5=8 3/5=8.6

what is the weight of a 55 kg person on earth where the acceleration due to gravity is 9.8m/s²​

Answers

Answer:

The weight of an object is the force of gravity exerted on that object. The mass of an object is the amount of matter it has, and it stays the same wherever you are, regardless of gravity.[1] That's why an object that has 20 kilograms of mass on earth also has 20 kilograms of mass while on the moon, even though it would only weigh 1/6 as much. It weighs 1/6 as much on the moon because the force of gravity on the moon is 1/6 of what it is on Earth.

Step-by-step explanation:

Answer:

your mother

Step-by-step explanation:

The logical answer would be your mother because 9.8m/s^2 x 55 would equal your mother weight,  539 squared pounds.

Trevor, Lucy, and james want to make a total of 50 paper airplanes. the table shows how many they have made so far. how many more paper airplanes do they need to make

Answers

you didn't show the pic

hope you understood...!!!

(n-1 +7) simplify plssss helppp

Answers

Answer: n+6

-1 + 7 = 6

So therefore, the answer is n+6

Hope this helped

Answer:

[tex]\boxed{\sf{n+6}}[/tex]

Step-by-step explanation:

To solve this problem, first, you have to do is isolate it on one side of the equation.

(n-1+7)

First, remove parentheses.

→ n-1+7

Add the numbers from left to right.

→ -1+7=6

→ n+6

Therefore, the final answer is n+6.

I hope this helps you! Let me know if my answer is wrong or not.

The expression below is a sum of cubes.

64x^3 + 125

A. True

B. False

Answers

Answer:

A True

Step-by-step explanation:

[tex]4^{3} x ^{3} + 5^{3} [/tex]

Find the value of k so that the quadratic inequality x² + 14x + k < 0 only for x is an element of [-11,–3]​

Answers

Answer:

x²+14x+33<0.

Step-by-step explanation:

1) according to the condition x=-11 and x=-3 are zeros of the function y=ax²+bx+c;

2) if -3;-11 are zeros, then (-3)*(-11)=c ( already a=1; b=14). Then

3) x²+14x+33<0.

Find the inner diameter of the washer.

Answers

The inner diameter of the washer is 7/10 inch, this value is gotten by multiplying the path by 2 and subtracting the result from the outer diameter

Mensuration of Shapes

Given Data

Outer Diameter = 1 inchPath Distance = 3/20 inch

The inner diameter

= Outer Diameter - 2*Path Distance

= 1 - 2*3/20

= 1- 6/20

= 1- 3/10

= 1/1 - 3/10

Find the LCM we have 10

= 10-3/10

= 7/10 inch

Learn more about shapes here:

https://brainly.com/question/25965491

the 3 sides of triangle are n, 4n + 1 , 5n- 8. if the perimeter of the triangle is 93 cm, what is the length of each side?​

Answers

Answer:

10, 41, 42

Step-by-step explanation:

(n)+(4n+1)+(5n-8)=93 because triangle perimeter

10n-7=93

10n=100

n=10

Answer: 10 cm, 41 cm, and 42 cm

Step-by-step explanation:

       We can set up an equation knowing the perimeter to solve for the lengths of each side. Then, we will plug the value of n into the different expressions that represent each side.

   Perimeter of a triangle:

P = side a + side b + side c

   Plug in our known values:

93 cm = (n) + (4n + 1) + (5n - 8)

   Simplify and combine like terms:

93 cm = n + 4n + 1 + 5n - 8

93 cm = n + 4n + 5n + 1 - 8

93 cm = 10n -7

   Add 7 to both sides of the equation:

100 cm = 10n

   Divide both sides of the equation by 10:

10 cm = n

n = 10 cm

        -

   Solve for the lengths of each side:

n = 10 cm

4n + 1 = 4(10) + 1 = 40 + 1 = 41 cm

5n - 8 = 5(10) - 8 = 50 - 8 = 42 cm

In January 2011 the rate of VAT increased from 17.5% to 20%.
Work out the difference in price of a car worth £17000 + VAT
due to the increase in VAT.

Answers

Answer: Attributed to the increase in VAT, the change in cost of a car worth RS 15000+VAT is Rs 375.

Step-by-step explanation:

Nicole walked 10 blocks north from her house to her friend's house. After visiting, Nicole walked 10 blocks south back to her house. How far was Nicole from her starting place?
The Answer is D Nicole walked back to her house 10-10=0 So, the answer is D

Answers

Yes, I guess so.

Hope this helps!

Answer:

yea actually what if she turned?- but yea its 0 so D

Step-by-step explanation:

The clients who get haircuts at Cameron's salon have a variety of hair colors.
brown 7
black 7
blond 4
4
What is the experimental probability that the next client to get a haircut Cameron's salon will
have blond hair?
Write your answer as a fraction or whole number.
P(blond)

Answers

Using it's concept, it is found that there is a [tex]\frac{2}{9}[/tex] experimental probability that the next client to get a haircut Cameron's salon will have blond hair.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 4 out of 18 clients had blond hair, hence the probability is given by:

P(blond) = 4/18 = 2/9

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Help! Surface area!!!

Answers

Answer:

6656 cm²

Step-by-step explanation:

6656 cm² is the required answer

Multiple the w*l*h =your answer

Help with all questions in pictures please
Just put the answers please (ex: 1A 2C 3B. etc)
For question number 7 where it says (Which of the following images represents the polar graph of r = 4cos 2θ?) only two of the graphs are shown please if you can include a graph of the correct answer *70Points*

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Convert point Q to polar coordinates (accounting for correct direction):

[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]

Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A

Problem 2

Make polar substitutions:

[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]

Hence, the answer is C

Problem 3

Eliminate the parameter:

[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]

Hence, the answer is C

Problem 4

Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:

[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]

Thus, the correct answer is S

Problem 5

Use the formula for multiplying complex numbers in polar form:

[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]

Hence, the answer is A

Problem 6

Determine when the ball first hits the ground:

[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]

Determine the horizontal distance covered by the ball:

[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]

Hence, the best answer is C

Problem 7

The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.

From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.

Review the table on page 3 comparing in-network and out-of-network costs under the Standard Plan. Which statement is TRUE? Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of out-of-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform. The costs for in-network and out-of-network doctors are the same for ALL services they offer. The costs for in-network and out-of-network doctors are the same for ALL services they offer. Office visits, immunizations and annual physicals have the same costs for both in-network and out-of-network doctors.

Answers

The true statement is that most insurance plans encourage the use of In-Network doctors by offering lower costs on most services they perform.

What is the meaning of Health Maintenance Organization?

An HMO is regarded as an acronym that is used for “Health Maintenance Organization”. It is know to be  companies  that has been given the power to solely to manage the provision of health care services to the people.

The use of the in-network option is one that tends to save money. The Providers in your network are known to have a form of agreements with your insurance company that tends to make one to save money.

Lean more about insurance plans from

https://brainly.com/question/1941778

Answer: B-Insurance plans encourage the use of in-network doctors by offering lower costs on most services they perform.

What is a self portrait______
A. A portrait done by the artist of his or herself
B. An artistic photo of a group of people including yourself
C. A portrait of shelves
D. A selfie

Answers

option A

hope it helps...!!

​Out-of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2573e^0.0359x models average annual expenditures per​ household, in dollars. In this​ model, x represents the​ year, where x = 0 corresponds to 2003 .
​(a) Estimate​ out-of-pocket household spending on health care in 2008 .
​(b) Determine the year when spending reached ​$2783 per household.

Answers

Answer:

(a) The total expenditures per household in the year 2008 were approximately $3,080.

(b) The spending reached $2875 per household in 2006.

Step-by-step explanation:

Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.

(a) Estimate out-of-pocket household spending on health care in 2008.

(b) Determine the year when spending reached $2875 per household

The explanation to the answer is now given as follows:

(a) Estimate out-of-pocket household spending on health care in 2008.

Given;

f(x) = 2574e^(0.0359x) ........................ (1)

Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.

Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:

f(6) = 2574e^(0.0359 * 5)

f(6) = 2574 * 1.19661890406748

f(6) = 3,080.09705906969

Rounding to the nearest dollar as needed, we have:

f(6) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b) Determine the year when spending reached $2875 per household

This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:

2875 = 2574e^(0.0359x)

2875 /2574 = e^(0.0359x)

1.11693861693862 = e^(0.0359x)

Taking the natural log of both sides, we have:

ln(1.11693861693862) = ln(e^(0.0359x))

0.110591565075382 = 0.0359x

x = 0.110591565075382 / 0.0359

x = 3.0805449881722

Approximating to a whole number, we have:

x = 3

Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

Answer the Graph based Question I will make Brainliest + 50 points​

Answers

Answer:

Here is the answer

Step-by-step explanation:

Brainlest me please

#a

Take one coordinate and solve

(-3,5)

So

y=x²-k5=(-3)²-k5=9-kk=9-5k=4

Take another

(-2,0)

So

y=x²-k0=(-2)²-k4-k=0k=4

Hence k=4

#b

Graph attached

#c

Turn to vertex form

y=x²-4y=(x-0)²-4

Compare to vertex form

y=a(x-h)²+k

So

Vertex(h,k)=(0,-4)

#d

At no intervals of x the graph decreases negatively

Because

a is positive (+1) parabola is opening upwards

#d

y=4-k²y=2²-k²y=(2+k)(2-k)

So if y be 0

x intercepts are

(-2,0) and (2,0)

Zeros are

-2 and 2

Freemont Run Club surveyed a random sample of
30
3030 of their members about their running habits. Of the members surveyed,
9
99 said that they run more than
5
55 days a week. There are
84
8484 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than
5
55 days a week?

Answers

Answer:

24 for estimate, the accurate is 25.2

Step-by-step explanation:

surveyed total = 30

9 = run 5> days a week

84 = total members

9/30 = percent of members who run 5> days a week

9/30 => 3/10

percent of members who run 5> days a week * total members = number of members who run 5> days a week

3/10 x 84 = 25.2 members

84 = 80

3/10 x 80 = 24

24, a reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week.

Suppose a free medical test is given for a certain disease. The test is 90% reliable in the following sense: If a person has the disease there is a probability of 0,9 that the test will give a positive response; whereas, if a person does not have the disease, there is a probability of only 0,1 that the test will give a positive response. Data indicate that your chances of having the disease are only 1 in 10000. You decide to undergo the test and a few days later you learn that you had a positive response from the test. What is now the probability that you have the disease?​

Answers

P(Person has disease)=0.9P(Person doesn't have the disease)=0.1

Your chances of having the disease:-

1/100000.0001

So your current probability:-

0.0001(0.1)0.00001

Answer:

Step-by-step explanation:

[tex]\red{ \rule{0pt}{900000pt}}[/tex]

[tex]\red{ \rule{500pt}{900000pt}}[/tex]

60 = y-3 divided by 10

Answers

Answer:

y  = 60.3

Step-by-step explanation:

The sum of three number is 14. The sum of twice the first number, 4 times the second number, and 5 times the third number is 41. The difference between 7 times the first number and the second number is 51. Find the three
numbers.

Answers

Answer:

The numbers are 8 , 5 , 1

Step-by-step explanation:

Let the three numbers be x,y,z

Sum of three numbere is 14

x +y + z = 14 ---------------(I)

The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.

2x + 4y + 5z = 41 -----------(II)

The difference between 7 times the first number and the second number is 51.

 7x -y = 51 ---------------(III)

Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.

(I)*(-5)        -5x - 5y - 5z = -70

(II               2x + 4y + 5z = 41   {Now add}

                -3x   - y          = - 29  ------------(IV)

Multiply (III by (-1) and then add it with equation (IV)

(III)*(-1)        -7x + y = -51

(IV)             -3x - y = -29   {Now add}

                 -10x     = -80

                          x = -80 ÷ (-10)

x = 8

Plugin x = 8 in equation (III) and we obtain the value of y

7*8 - y = 51

56 - y = 51

     -y = 51 - 56

    -y = -5

   y = -5 ÷ (-1)

y = 5

Plugin x =8 and y =5 in equaiton (I)

8 + 5 + z = 14

    13 + z = 14

         z  = 14 - 13

 z = 1

10)A shirt normally costs £42. If you receive a 15% discount, how much change will you get from £50? o £35.70 o £23.00 o £8.00 o £14.30​

Answers

Answer:

35.70

Step-by-step explanation:

because 15% of 42 is 6.3 and 6.3 - 42 = 35.70

Other Questions
For the past year, Hawkeye, Inc., had a cost of goods sold of $60,382. At the end of the year, the accounts payable balance was $13,489. How long on average did it take the company to pay off its suppliers during the year? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Write the solution for x +5 8 in set notation The graph above shows the titration curve that resulted when a sample of 0.1 M monoprotic acid was titrated with a solution of NaOH. Based on the graph, the pKa of the acid is closest to(A) 3.0(B) 4.0(C) 6.0(D) 8.0(E) 12.0 pls help me with this i have a 0 in math Select the correct solution for the expression.25+38 A. 25+38=513 B. 1640+1540=3140 C. 1040+2440=3440 D. 25+38=640if youre a connexus student and you know the answers to add and subtract fractions please tell me find the volume6ft3ft4tt What is the correct way to read 0.2305 what does a snow leopard eat? Monica loves medicine and caring for people, but does not want to spend thenext 16 years studying and preparing to become a doctor. Which of thefollowing is a good career alternative for Monica? A. NurseB. Accountant C. Artist D. Banker The product of 2 consecutive even integers is 528 find the value of each integers Draw the reactants using the drawing tool. Keep in mind that one molecule of nitrogen has two bonded atoms, and one molecule of hydrogen has two bonded atoms. Question 3 of 10Which development would most likely cause the supply of a product todecrease?A. Businesses expect the product to start selling at a higher price.O B. Government regulations increase the cost of making the product.C. More workers receive the education needed to create the product.O D. New technology allows the product to be made more quickly. DescribingWrite two sentences about the town of Makkah What is the domain of the relation, and is the relation a function?{(0, 1), (2, 3), (5, 7)} Jerry has a new job and earns asalary of $45,000. Victoria has a newjob and earns a salary of $54,000.Jerry will receive a salary increase of$2,500 per year, and Victoria willreceive a salary increase of $1,500per year.45.054.045.0540Which equation can be used to find xthe number of years it will takeJerry to earn the same salarv asVictoria? simplify the problem below:u^n*u^n+1 Write the equation for each translation of the graph of y=|x+2|.a) one unit upb) one unit downc) one unit to the leftd) one unit to the right You can calculate the width of the lake using a surveying technique, as shown in the diagram. Find the width of the lake. It cost $4.68 for 3 pounds of chicken. What is the unit price? Solve Solve the system of linear equations. separate the x- and y- values with a coma. -5x+6y=33 -18x+4y=-22