If the length of the segment AB is 5, and BC is 9, and CD is three, find the difference between the furthest and shortest possible distance of AD?

A: 12
B: 13
C: 14
D: 15
E: 16

Answers

Answer 1

9514 1404 393

Answer:

  E.  16

Step-by-step explanation:

If the order of points on the line is ABCD, the distance between A and D is ...

  AB +BC +CD = 5 + 9 + 3 = 17

If the order of points on the line is BADC, the distance between A and D is ...

  BC -BA -DC = 9 -5 -3 = 1

Then the difference between the longest and shortest possible distances AD is ...

  17 - 1 = 16 . . . . matches choice E

If The Length Of The Segment AB Is 5, And BC Is 9, And CD Is Three, Find The Difference Between The Furthest

Related Questions

Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?

The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to

Answers

Answer:

hi sorry for answering late but the answer is D)greater than or equal to

Step-by-step explanation: Have a nice day :)

Answer:

greater than or equl to

Step-by-step explanation:

just gave answer i think not sure and it d by the way

Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40

Answers

Answer:

A. $3.96

Step-by-step explanation:

$2.20 × 1.8 pounds = $3.96

Find the volume of the cylinder. Round your answer to the nearest tenth.



V =

Answers

Answer:

1526.81

Step-by-step explain

v=[tex]\pi[/tex]*radius^2*Hight

A baker needs 15 lb of cream cheese that contains 20% fat to fill a big order. But his supplier delivers one cream cheese that contains 10% fat, and another that contains 35% fat. How many pounds of each should the baker combine to fill the order?​

Answers

Answer:

6 2/3 lbs of each

Step-by-step explanation:

.10x + .35x = 15(.20)

.45x = 3

x = 3/4.5

x = 6.67

Answer:

Step-by-step explanation:

[.1x+.35(15-x)]/15=.2

.1x+5.25-.35x=3

-.25x+5.25=3

-.25x=-2.25

x=9

So he will use 9lbs of 10% and 6lbs of 35%.

Solve graphically.
5x+7y=1 and x+4y=-5​

Answers

Answer:

{x,y} = {3,-2}

Step-by-step explanation:

Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equations are given below.

5x + 7y = 1

x + 4y = -5​

Convert the equation into an intercept form. Then we have

From equation 1, then we have

5x + 7y = 1

x / (1/5) + y / (1/7) = 1

From equation 2, then we have

x + 4y = -5​

x / (-5) + y / (-5/4) = 1

The lines are drawn below.

Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).

More about the linear equation link is given below.

https://brainly.com/question/11897796

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What is b PLSSSS ANSWER
WILL GIVE BRAINLIEST

Answers

Answer: -15 divided by 0.3 is the same as -15/3/10 but to solve we can do -15 times 10/3 witch is -150/3=-50

Step-by-step explanation:

Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
7 sweets left. How many did he have to start with?​

Answers

Answer:

16 sweets

Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]

Sweets given to Raji = 5

Remaining sweets = 7

[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]

38 is 90 percent of what

Answers

Answer:

42.22 (2 repeating)

Step-by-step explanation:

When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.

Starting with the most basic equation,

Percent * Base = Amount

In this problem, you are given the amount (38) and the percent (90)

So to find the base, you can do

Base = Amount / Percent

As always, convert the percent to a decimal by dividing by 100.

38/ 0.9 = 42.222 repeating

Answer:

38 is 90 Percent of What Number?

42.22

Step-by-step explanation:

In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?

Answers

Answer: 20inch

Step-by-step explanation:

Using the Pythagoras theorem:-

25^2 = 15^2 + x^2    where x = the width of the screen.

625 = 225 + x^2

x = √(625 - 225) = √400

= =  20 ins

Helpppp plzzz I will mark brainliestttt

Answers

307.72 in squared for lateral area.
615.44 in squared for total surface area.

Which is larger, 9 kilograms or 8,500 grams?

Answers

Answer: 9 kilograms

Step-by-step explanation:

9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.

what is the common ratio? {250, 50, 10, 2...}

Answers

Answer:

5

Step-by-step explanation:

The common ration can be found by dividing the 2nd number from the 1st number:

250 / 50

which equals 5

250 / 50 = 5

         you can do this by any number, for example:

         50 / 10 =5

         10 / 2 = 5

The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.

Answers

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

What are Similar Triangles?

Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).

The two triangles formed are similar triangles. Therefore:

47/FG = 82/73.8

Cross multiply

FG = (47 × 73.8)/82

FG = 42.3 m

Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.

Learn more about similar triangles on:

https://brainly.com/question/11899908

A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?

Answers

[Aforementioned Text Is Unavailable, Please Try Again Later]

PLEASE HELP FAST I WILL GIVE BRAINLIST AND EXTRA POINTS FOR YOU TO DRAW THE GRAPH

Answers

Answer:

literally straight on the x axis

Find the missing side

Answers

Answer:

20

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 -225

b^2 =400

Take the square root of each side

sqrt(b^2) = sqrt(400)

b = 20

Which of the following choices shows the equation solved for y
7x + 2y = 10

1. y = -7/2x + 5
2. y = 7/2x +10
3. y = 7/2x + 5
4. y = -7x + 10​

Answers

Answer:

#1; [tex]y = -\frac{7}{2}x+5[/tex]

Step-by-step explanation:

[tex]7x+2y=10[/tex]

[tex]2y = -7x + 10[/tex]

[tex]\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}[/tex]

[tex]y = -\frac{7}{2}x + 5[/tex]

One banana cost $30 how many do 80 bananas cost

Answers

Answer:2400 ...

Step-by-step explanation:

Ron is x years old. His brother, Ray, is y years older than him. How old was Ray when Ron was first born?

Answers

Answer:

Ray was y years old when Ron was born

Step-by-step explanation:

Hey there!

The correct answer is y years old.

If he is y years older, that means that when Ron was 0, or when he was just born, Ray was y years older.

Have a terrificly amazing day! :D

PLEASE HELP ME ASAP!!!

Answers

Answer:

5x6x7=210x2=420

Step-by-step explanation:

vertex (0,0) focus (0,-1)
A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2

Answers

Answer:B

Step-by-step explanation:

???????......????...??..??…??..?.?.?..​

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is the surface area of the figure?

Answers

Answer:

96

Step-by-step explanation:

first off you know that it is a square pyramid, so you can assume that all base lengths are 6.

i am going to find the base first. it is 36 because 6*6-36 save this in your mental memory

next, we have to find the 4 triangles

we know that they are 5 by 6 but you have to divide them by 2

so 30/2=15 and there are 4 of them

15*4=60

now add together 60 and 36 and you get 96

hope this helps!

A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?

Answers

If u meant $1.10 donated then it would be $190.9

But if u donated 110 then it would be $82


What is the slope of the line?
What is the y-intercept?
Write the equation of the line

Answers

Answer:

slope is 2

y-intercept is 3

equation y=2x+3

Step-by-step explanation:

Answer:

slope=4/2 or 2

y-intercept=3

equation=y=2x+3

the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3

Please Help!! Brainliest Answer! Thank you!

Answers

Answer:

D. 157.5

Step-by-step explanation:

Formual for sum of interior angles

(n-2)*180

so 14*180=2520

but that is the sum

divide that by 16 (2520/16) = 157.5

157.7 because if u do work smart you will get that answer

Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?​

Answers

Answer:

height = 6

volume = 60 in³

Hope this helps!

Answer:

Height = 4

Volume = 48 units ^3

Step-by-step explanation:

Which square root is between 4 and 5?
O 10
O 14
O24
O 32

Answers

Answer:

√24 because it's lies on between of√16 and√25.

The only square root that falls between 4 and 5 is √24.

What is Number system?

A number system is defined as a system of writing to express numbers.

We can estimate the value of each square root and see which one falls between 4 and 5:

The value of √10 is less than 4 because √10 is, 3.16

√14 is less than 4.5 because  √14 value is 3.76

√24  is greater than 4.5 because √24 value  is 4.89

√32  is greater than 5 because 5 x 5 = 25, and √32 is slightly smaller than 5.

Therefore, the only square root that falls between 4 and 5 is √24.

To learn more on Number system click:

brainly.com/question/22046046

#SPJ7


Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow

Answers

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].

In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!

If a car travels 825 miles in 15 hours and the car travels at an constant rate how many miles does the car travel in 1 hour?

Answers

Answer:

55 miles

Step-by-step explanation:

Given data

DIstance =  825 miles

Time = 15 hours

Speed= distance/time

Speed= 825/15

Speed= 55  miles per hour

Given that we want to find the distance traveled in 1 hour, we have

Distance= Speed*time

Distance= 55*1

Distance= 55 miles

Hence the car will travel 55 miles in 1 hour

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