Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet, 40 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 2nd longest side on quadrilateral EFGH?

A. 24 feet
B. 20 feet
C. 16 feet
D. 18 feet​

Answers

Answer 1

Answer:

C) y = 16 feet

Step-by-step explanation:

the corresponding sides in ABCD are equal to their corresponding sides by EFGH multiplied by something

all values are in feet

let x represent the unknown side in ABCD

ABCD lengths in order: x, 30 , 40 , 60

let a and b represent the unknown sides in EFGH

EFGH lengths in order: 6, 12, a, b

thus, 30 corresponds to 12 as they are both the second shortest sides

corresponding side in EFGH * something = corresponding side in ABCD

12 * something = 30

let something be r

12 * r = 30

divide both sides by 12 to isolate r

r = 30/12

thus, to get a side in ABCD, we multiply the corresponding side in EFGH by 30/12

we want to find the second longest side in EFGH. the corresponding side to that in ABCD is 40, as 40 is the second longest side in ABCD

let the second longest side in EFGH = y

y * 30/12 = 40

multiply both sides by 12/30 to isolate y

40 * 12 / 30 = y = 16

y = 16 feet


Related Questions

Drag each line to the correct location on the image. Not all lines will be used.

Match the lines of best fit to the scatter plots.

Answers

I will help if you post a picture or something

Answer:

I am not sure if this is correct but:

Step-by-step explanation:

Which is equal to ???

Answers

Answer:

Answer = tan 3pi/10

Step-by-step explanation:

Hope that helps! :)

A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 8.5 ft by 15 ft by 14 ft. If the container is entirely full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary

Answers

Answer:

empezando multiplicar todos los números seria un total de 1785  que lo pondremos con m3  que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000  

Step-by-step explanation:

respuesta 1 785 000

Pls help I have no idea what any of this is.

Answers

Answer:

Sine is an Odd B answer

Step-by-step explanation:

So basically it's B
Text book

Felicity has two $10 and a $5 bill. She spends
$8.20 on a game and $4.80 on a poster.
How much money does she have left?


Answers

Answer:

$12

Step-by-step explanation:

8.20 plus 4.80 would equals 13

so 13 subtracted by 25 equals 12

$12
8.20+ 4.80= 13
25-13=12

in the figure, p||q. On a recent math test, Jacob incorrectly listed the value of w as 101.

Find the value of w.

What mistake did Jacob likely make?​

Answers

Answer:

x = 79

Step-by-step explanation:

Part A:

It's stated that line p and line q are parallel, if it is so then the angle represented with w and the angle with measure 79 are alternate and their measure is equal to each other:

Part B:

Jacob likely thought angle represented with W and the angle with the measure 101 are alternate so he made a mistake and found wrong result.

Answer answer question please

Answers

Answer:

Step-by-step explanation:

3 and 2/5

(aka A)

Answer:

a

Step-by-step explanation:

it says 3 and 2/5ths

hope this helps

sophia

A motorcycle that regularly sells for 1,450 was discounted by 40% off

Answers

Answer:

$870.00 is the motorcycle price after a 40% discount

Step-by-step explanation:

discount = original price x discount % / 100

discount = 1450 x 40 / 100

discount = 1450 x 0.4

discount = $580.00

Final Price = Original Price - Discount

Final Price = 1450 - 580

Final Price = $870

I need a answer quick!

Answers

Answer:

I normally just plug these into desmos.

Step-by-step explanation:

HELP!!! THESE ARE DO TODAY

Answers

Answer:

72

Step-by-step explanation:

First, we should probably break this shape down into 2 easier to work with shapes. The dimensions of these will be 4*9 and 6*6. I get 6 because when you break 4*9 off, you're also taking 4 off from the 10, giving you 6. Now just multiply and then add the area of both shapes. 4*9=36, and 6*6=36. 36+36=72, so that's your answer.

Hope this helps!

How many quarts of a 50% acid solution must be added to 20 quarts of a 20% acid

solution to obtain a 40% acid solution?

Answers

Answer:

  40 quarts

Step-by-step explanation:

The amount of additional 50% acid solution can be found by writing an equation for the amount of acid in the mix.

__

Let x represent the number of quarts of 50% acid solution that need to be added. The total number of quarts of acid in the 40% mix is ...

  0.50x +0.20(20) = 0.40(x +20)

  0.10x = 0.20(20) . . . . . . . subtract 0.40x +0.20(20)

  x = 40 . . . . . . . . . . . . divide by 0.10

40 quarts of 50% solution must be added.

_____

Additional comment

That will make a total of 60 quarts of solution, of which 24 quarts (40%) are acid.

Step-by-step explanation:

while the other answer is correct, let me try to explain this in a different optical way :

50% means 50/100 = 1/2 = 5/10 of the substance is acid.

20% means 20/100 = 1/5 = 2/10 of the substance is acid.

40% means 40/100 = 2/5 = 4/10 of the substance is acid.

now, we want to find the quantity of x quarts that satisfies the desired balance :

x × 50% + 20 × 20% = (x + 20) × 40%

x × 5/10 + 20 × 2/10 = (x + 20) × 4/10

5x/10 + 4 = 4x/10 + 8

x/10 = 4

x = 40

so, yes, we need to add 40 quarts of the 50% solution.

that gives us 60 quarts, with 40% = 40/100 = 4/10 = 2/5 = being acid : 60 × 2/5 = 120/5 = 24 quarts

Six statements were made about the figures below. Record the letter of the 3D figure that matches each student’s statement.

Answers

The answer will be 1-sphere,2-Triangular pyramid,3-cube,4-Triangular prism,5-Cylinder,6-Rectangular pyramid

What are the figures?

The figures can be sphere, cylinder, cube,pyramid,prism etc.We have to match the description with their correct solid name.

figure where all points are the same distance from the center, is called sphere.

1-sphere

figure made of all triangles.That figure is called a triangular pyramid.

2-Triangular pyramid

figure with six congruent squares is called a cube.

3-cube

figure with two triangle bases and rectangles for the rest of its faces.That figure is called a triangular prism.

4-Triangular prism

figure with circular bases is called a cylinder.

5-Cylinder

figure with a rectangle as a base and a triangle for the rest of its bases.

That figure is called a rectangular pyramid.

6-Rectangular pyramid

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would very much appreciate it if you guys helped out

Answers

Answer: x^2 + 6x – 7 = 0


The solutions x = -7 and x = 1 can be written as:

(x+7)(x-1) = 0

(Because you find the solution values for x from the brackets e.g (x+7) to get x=-7, dunno how to explain it better sry)

From which you can expand the brackets and find the answer in quadratic form.

(x+7)(x-1) = 0

Expand the brackets

x^2 + 7x – x – 7 = 0

x^2 + 6x – 7 = 0

Three men build a wall in 10 hours how many men would be needed to build a wall in 71/2h

Answers

Answer: 4 men to build it in 7.5 hrs

Step-by-step explanation:

In the diagram, A||B and B||C. Find the values of X.

Answers

Answer:

31

Step-by-step explanation:

3x + 12 and 105 are alternate exterior angles because A || B and B || C.

If the two or more lines are parallel, then the alternate exterior angles are equal.

3x + 12 = 105

Substract 12 on both sides,

3x = 105 - 12

3x = 93

Divide 3 on both sides,

x = 93 / 3

x = 31

verify the identity

tan 0-cot 0 / tan 0 + cot 0 (not on the same line) + 2cos^2 0=1

Answers

Answer:

See below for the proof of the identity

Step-by-step explanation:

I read your statement as [tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta=1[/tex]:

[tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta\\\\\frac{\frac{\sin\theta}{\cos\theta}-\frac{\cos\theta}{\sin\theta}}{\frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{1}{\sin\theta\cos\theta}} +2\cos^2\theta[/tex]

[tex]\displaystyle \sin^2\theta-\cos^2\theta+2\cos^2\theta\\\\\sin^2\theta+\cos^2\theta\\\\1[/tex]

Thus, the identity is proven.

Find the surface area of the pyramid. The side lengths of the base are equal.

Pls answer fast!

Answers

This is how to do it

The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming
magazine
18 22 14 30 26
(a) What is the mean of the data set?

Answers

Hey there!

What is the mean of the data set?

Answer :

22 ✅

Explanation:

You first have to know what is a mean (or average) :

MEAN : Sum of values divided by the number of values.

[tex] \text{mean} = \frac{sum \:of\: the \:values}{number \: of \: values} \\ \\ \Longrightarrow \frac{18 + 22 + 14 + 30 + 26}{ 5 } \\ \\ \Longrightarrow \frac{110}{5} \\ \\ \Longrightarrow \red{\boxed{\blue{22}}} [/tex]

Therefore, the mean of the data set is 22.

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Have a good day :)

The mean can be calculated by determining the sum of the chosen pumpkins and dividing it by the total pumpkins chosen for the photograph.

Sum of the chosen pumpkins: 18 + 22 + 14 + 30 + 26Total pumpkins chosen: 5 pumpkins

Therefore, the fraction that represents the mean is:

[tex]\dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]

When we simplify the fraction, we get:

[tex]\implies \dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]

[tex]\implies \dfrac{40 + 14 + 30 + 26}{5}[/tex]

[tex]\implies\dfrac{70 + 14 + 26}{5}[/tex]

[tex]\implies\dfrac{70 + 40}{5}[/tex]

[tex]\implies\dfrac{110}{5} = 22[/tex]

Therefore, the mean of the data set is 22.

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Question 1 (10 points)
Solve the system of the linear equations with three variables:
x + y + 3z = 3
2x + y +6z = 2
2x- y + 3z = -7

Answers

Answer:

x= -2 y = 4 z = 1/3 solve by using gauss elimination or Cramer's rule, or matrix inversion method or row equivalent matrix method


PLEASE HELP ANSWER BOTH PARTS!!! DUE SOON

Answers

Answer:

c. 69

b. 7

Step-by-step explanation:

Find the equation of a line that passes through the points (2,5) and (2,12)

Answers

Determining the slope of the line:

We know the following:

[tex]\text{Slope formula} = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Note: Slopes can only be determined if the lines are not vertical.

Since the x-coordinate of the points that pass through the line are the same, when the points are substituted in the slope formula, the slope will result in "undefined" (Work shown below).

[tex]\text{Slope formula} = \dfrac{12 - 5}{2 - 2}[/tex]

[tex]\text{Slope formula} = \dfrac{7}{0} = \text{unde}\text{fined} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Any non-number divided by 0 is unde}\text{fined}][/tex]

Now, let's see if the vertical line will intersect the x-axis or a y-axis.

Determining if the line will intersect the x or y-axis

To determine if the vertical line will intersect the x or y-axis, we must look for the intersection of the line on the x or y-axis. The vertical line will be parallel to the y-axis and will intersect the x-axis.

Therefore, the line will intersect the x-axis.

Replacing values in an equation:

Since the line does not intersect the y-axis, the equation of the line on the left-hand side will have an x-variable.

⇒ x = ?

The x-intercept will be substituted on the right-hand side of the equation.  Since the line that passes through the two points [(2,5) and (2,12)] have the "2" as their x-coordinates, the x-intercept will also be 2. Therefore,

x = 2

John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?

Answers

Answer:

The area of rectangle is 77 sq ft.

11 x 7 = 77


60 students study a language at a school.
Each student either studies French or German.
36 of the students are boys.
2/3 of the boys study French
40 students study French
Use this information to complete the frequency tree

Answers

The number of girls is 24. The number of boys that study French is 24.The numbber of boys that study German is 12.The number of girls that study French is 16The number of girls that study German is 8.

How to fill the frequency tree?

The number of girls = total number of students - total number of boys

60 - 36  = 24

The number of boys that study French = 2/3 x 36 = 24

The numbber of boys that study German = 36 - 24 = 12

The number of girls that study French = 40 - 24 = 16

The number of girls that study German = 24 - 16 = 8

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A snail can move 5 inches in 6 minutes. At this rate, how many feet can it move in 48 hours?

A. 40

B. 3

C. 200

D. 11

Answers

Answer:

Hi the answer is A. 40

If the mean is 50 and the standard division is 10 what is the probability that a randomly selected item is between 20 and 60

Answers

Answer:

84%

Step-by-step explanation:

Okay, I want to work out the chance that was between 20 and 60. Other words will find the area. 20 2 60 this area here. And the answer is because the area under the curve is always one in total. So the workout p of 20, less than x. Less than 60 here. I need a calculator And the input on the TI 84 plus is as follows, you press the second blue button, second, followed by vars V A R S, that's by the arrow keys on the right, that brings up the menu for distributions and what you want is normal C D E F Number two on the list, so normal C D E F. You press enter and it was a lower upper, lower is 20 upper is 60. The mean is 50 and the standard deviation is 10, There's a four number input. So 20 for lower 60 for upper 50 for the mean And 10 for the s. d. Standard deviation so, and then paste that onto the screen and press enter and we get 0.83999. And hear what they want. There's a percent to have some more places.

Therefore, it will be 84.00 percent. The two decimal places

The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set? Record your answer to the hundredths place.

Answers

Answer:

Total amount to be raised by the 8 student groups = Total amount required - Donation = $682.56 - $200.00 = $482.56Amount to be raised bu each group ...

Step-by-step explanation:

31. The vector i represents 1 mile per hour east, and the
i
vector j represents 1 mile per hour north. Maria is
jogging south at 12 miles per hour. One of the
following vectors represents Maria's velocity, in miles
per hour. Which one?
A. -12i
B. -12j
C. 12i
D. 12j
E. 12i + 12j

Answers

Answer:

B

Explanation:

The north is opposite to the south

So the vector [tex]j[/tex] represents 1 mile per hour south.

Maria is jogging south at 12 miles per hour.

Therefore, the vectors [tex]12j[/tex] represents Maria's velocity. The correct answer is B.

The vector used to represent the position of Maria is -12j.

What is Vector?

A measurement with a magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. A vector does not have position, while having magnitude and direction.

Given:

vector i represents 1 mile per hour east

and, vector j represents 1 mile per hour north

Now, the position of north is opposite to south

Now, Maria is jogging south at 12 miles per hour.

So, the vector used to represent the position of Maria is -12j.

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Question 3 of 10
Which equation represents the slope-intercept form of the line below

Answers

Answer:

[tex]y = \frac{1}{2}x + 8[/tex]

Step-by-step explanation:

The general slope-intercept equation is: y = mx + b.

In this equation, "m" is equal to the slope and "b" is equal to the y-intercept.

Since the slope is "1/2", then this is the "m" value.

Since the line passes the y-axis at "8" when x = 0, then "b" must be "8".

Therefore, the equation of the function in slope-intercept form is  [tex]y = \frac{1}{2}x + 8[/tex].

Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?

Answers

The height of Corbin's model given the actual height of the monument and the scale of the model is 6.04 inches.

What is the height of the model?

A scale model is smaller representation of a bigger object / drawing. The scale model is reduced by constant dimensions.

The height of Corbin's model = 604 / 100 = 6.04 inches

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Find the volume of the cylinder.

Answers

Answer 471 unit^3

Step by step explanation;

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the volume of the cylinder?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

[tex]\textsf{Volume of a Cylinder:-}[/tex]

[tex]\dashrightarrow\boxed{\bold{V=\pi r^2h}}}\dashleftarrow[/tex]

Where

V = volume

π = pi (3.14...)

r=radius

h=height

Given:-

r=5

h=6

Notice that we're asked to use 3.14 for π.

Plug in the values:-

[tex]\bold{V=3.14 (5^2)(6)}[/tex]

On further simplification,

[tex]\bold{V=3.14(25)(6)}[/tex]

[tex]\bold{\underline{V=471}}[/tex] units³

Good luck.

   

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