Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 20 feet, 18 feet, and 14 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 5 feet long, how long is the 2nd longest side on quadrilateral EFGH?
A. 9.2 feet
B. 6.4 feet
C. 11.7 feet
D. 7.7 feet

Answers

Answer 1

Answer:

7.7 ft

Step-by-step explanation:

The third longest side is also the second shortest side.

The 14 ft side of quadrilateral ABCD corresponds to the 6 ft side of quadrilateral EFGH.

14/6 = 18/x

7/3 = 18/x

7x = 18 * 3

7x = 54

x = 54/7

x = 7.7

Answer: D. 7.7 feet

Answer 2

Answer:

Step-by-step explanation:

7.7


Related Questions

10. RP3-M

Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75.

She used a coupon code to receive a 20% discount. The website applied a 10% service fee

to the discounted price. Jeannette's ticket was less than the original price by what percent?

Answers

Answer:

Jeannette's ticket was less than the original pice by 30%

Step-by-step explanation:

original price = $75

percentage discount = 20% of original price = 20% of $75

discounted price = [tex]\frac{20}{100} \times\ 75\ =\ 15[/tex]

discounted price = $15

website service fee = 10% of original price

website service fee = [tex]\frac{10}{100}\times 75 = \$7.5[/tex]

New discounted price = discount price + website service fee

= 15 + 7.5 = $22.5

Next, let us calculate what percentage of the original price that will give the new discount price.

Let the percentage of the original price = x%

x% of 75 = $22.5

[tex]\frac{x}{100} \times\ 75\ = 22.5\\\\\frac{75x}{100} = 22.5\\\\75x = 2250\\\\x = \frac{2250}{75} \\\\x = 30[/tex]

Therefore, Jeannette's ticket was less than the original pice by 30%

What is the equation of this line?

Answers

Answer:

this is your test right pls study and answer

15 × u= 135
---------------

Answers

Answer:

15u = 135

Divide both sides by 15

u = 135/15 = 9

U is equal to 9

Hope this helps!

[tex]15 \times 4 = 135 \\ divide \: both \: sides \: of \: equcation \\ by \: 15 \\ \frac{15u}{15} = \frac{135}{15} \\ u = \frac{135}{15} \\ u = 9[/tex]

6. Solve for x!! please help!

Answers

x/2 = -7

=> x = -7 × 2

=> x = -14

Answer:

x=-14

Step-by-step explanation:

[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]

help me asap you guys i need help

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{C}[/tex]

To simplify the process, convert each given weight into standard notation:

Lion:

[tex]1 * 10^{5} = 1 * 100000 = 100,000 g[/tex]

Ant:

[tex]2 * 10^{-3} = 2* 0.001 = 0.002[/tex]

Divide the ant's weight from the lion's weight:

[tex]100000 / 0.002 = 50,000,000[/tex]

Convert to scientific notation: (use # of zeros to determine exponent)

[tex]50,000,000 = 5 * 10^{7}[/tex]

Therefore, the correct answer is C.

Express 4 in simplest radical form.

Answers

Answer:

2

Step-by-step explanation:

Given that p=x^2-y^2/x^2+xy
I. Express p in the simplest form
ii. Find the value of p if x=-4 and y=-6

Answers

Answer:

p = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

p = [tex]\frac{x^2-y^2}{x^2+xy}[/tex] ( factorise numerator and denominator )

x² - y² ← is a difference of squares and factors as (x - y)(x + y)

x² + xy ← factor out x from each term

= x(x + y) , thus

p = [tex]\frac{(x-y)(x+y)}{x(x+y)}[/tex] ← cancel (x + y) on numerator/ denominator

   = [tex]\frac{x-y}{x}[/tex] ← substitute x = - 4, y = - 6

   = [tex]\frac{-4-(-6)}{-4}[/tex]

   = [tex]\frac{-4+6}{-4}[/tex]

    = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

A) 72yards
Explanation 3x6x4

Draw a line for the axis of symmetry of function f. Also mark the x-intercept(s), y-Intercept, and vertex of the function.
f(x)= x^2- 4x-5
+
10-
Line
8
6
4
2-
-10
-8

Answers

Answer:

1) Please find attached the graph sowing the line of symmetry

The symmetry line is a vertical line passing through (2, -9)

2) The x-intercept are (5, 0) and (-1, 0)

The y-intercept is (0, -5)

The vertex is (2, -9)

Step-by-step explanation:

The given function is;

f(x) = x² - 4·x - 5

The data values are generated as follows;

x,          f(x)

-1,         0

-0.8,    -1.16

-0.6,    -2.24

-0.4,    -3.24

-0.2,    -4.16

0,         -5

0.2,      -5.76

0.4,      -6.44

0.6,     -7.04

0.8,     -7.56

1,         -8

1.2,      -8.36

1.4,      -8.64

1.6,      -8.84

1.8,      -8.96

2,        -9

2.2,     -8.96

2.4,      -8.84

2.6,     -8.64

2.8,     -8.36

3,        -8

3.2,     -7.56

3.4,     -7.04

3.6,     6.44

3.8,     -5.76

4,        -5

4.2,      -4.16

4.4,     -3.24

4.6,     -2.24

4.8,      -1.16

5,           0

The minimum is found from differentiating the function, f(x), with respect to x and looking for the zeros of the result  as follows;

f'(x) = 2·x -4

f'(x) = 0 = 2·x -4

x = 2

The y-coordinate gives; f(2) = 2² - 4×2 - 5 = -9

Therefore, the symmetry line is a vertical line passing through (2, -9)

The x-intercept is the point at which y = 0, therefore, from f(x) = x² - 4·x - 5, we have;

0 = x² - 4·x - 5 = (x - 5)·(x + 1)  

Therefore, the x-intercept are x = 5 or -1

The x-intercept are (5, 0) and (-1, 0)

The y-intercept occur at the point where the x value = 0, therefore, we have;

The y-intercept occur at y = f(0) = 0² - 4·0 - 5 = -5

The y-intercept is (0, -5)

Re-writing the  equation in vertex form y = a(x - h)² + k gives;

f(x) = x² - 4·x - 5 = 1·(x - 2)² - 9

Therefore, the vertex is (2, -9)

Answer:

see attached graph

The x-intercept are (5, 0) and (-1, 0)

The y-intercept is (0, -5)

The vertex is (2, -9)

Step-by-step explanation:

Simplify

[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{ {x}^{2} - 4} [/tex]
I will mark it as the brainliest please answer this question​

Answers

Answer:

The answer is

[tex] \frac{ {x}^{2} + 2x}{2x - 4 } [/tex]

Step-by-step explanation:

[tex] \frac{7xy}{ {x}^{2} - 4x + 4 } \div \frac{14y}{x^{2} - 4} [/tex]

To simplify , factorize

x² - 4x + 4 and x² - 4

For x² - 4x + 4

Write - 4x as a difference

x² - 2x - 2x + 4

x( x - 2) - 2(x - 2)

(x - 2)(x - 2)

For x² - 4

use the formula

a² - b² = ( a+b)( a - b)

That's

x² - 4 = (x + 2)(x - 2)

So now we have

[tex] \frac{7xy}{(x - 2)(x - 2)} \div \frac{14y}{(x + 2)(x - 2)} [/tex]

Change the division sign to multiplication sign and reverse the second fraction

That's

[tex] \frac{7xy}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{14y} [/tex]

Simplify

We have

[tex] \frac{x}{(x - 2)(x - 2)} \times \frac{(x + 2)(x - 2)}{2} [/tex]

Reduce the expression with x + 2

That's

[tex] \frac{x}{x - 2} \times \frac{x + 2}{2} [/tex]

Multiply the fractions

[tex] \frac{x(x + 2)}{2(x - 2)} [/tex]

We have the final answer as

[tex] \frac{ {x}^{2} + 2x }{2x - 4} [/tex]

Hope this helps you

The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). What is the valid UPC? *)
A) 3-25866-53590-5
B) 3-25866-53590-0
C) 1-25866-53590-0
D) 5-35900-32586-6​

Answers

The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.

It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.

the last digit is used to check the integrity of the UPC and is known as a check digit.A specific algorithm based on the odd and even number of the previous 11 digits determines the last number, which is used to confirm the validity or integrity of the UPC.

A UPC can be validated with a manual calculation:

Given :

UPC = 3-25866-53590-5/0

=> Step 1: Add the digits at odd positions.

3 + 5 + 6 +5 + 5 + 0 = 24

=> Step 2: Multiply the number obtained in steps 1 by 3.

24*3 = 72

=> Step 3: The digits at even positions have to be added except check digit

2 + 8 + 6 +3 +9 = 28

=> Step 4: Add the numbers obtained in Step 2 and step 3.

72+ 28 = 100

=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.

Here 100 will be subtracted from 110.

110 - 100 = 10

the last digit will be 0,

Thus, the correct option is B. 3-25866-53590-0.

Learn more about:

https://brainly.com/question/12538564

What is the sign of e + d when e > 0 and d 0?
Choose 1 answer:
Positive
Negative
Zero

Answers

9514 1404 393

Answer:

  (B)  Negative

Step-by-step explanation:

You can try an example:

  c = 1, d = -1

  c/d = 1/-1 = -1 . . . . negative

_____

Additional comment

The sign of the result of multiplication and/or division of any number of factors will be negative if there are an odd number of minus signs involved. It will be positive if there are an even number of minus signs involved.

QUICK IT IS FOR, NOW!!! I WILL GIVE BRAINLIESTS AND 10 POINTS
When p2 – 4p is subtracted from p2 + p – 6, the result is: -3p-6, 5p-6 or 4p+6. To get p – 9, subtract: 4p+3, 4p-15 or 4p+12 from this result.

Answers

Step-by-step explanation:

p² - 4p is subtracted from p² + p - 6 is written as

p² + p - 6 - (p² - 4p)

Remove the bracket and simplify

That's

p² + p - 6 - p² + 4p

p² - p² + 4p + p - 6

We have the answer as

5p - 6

Let the unknown expression be x

Subtract x from the expression to get p - 9

That's

5p - 6 - x = p - 9

x = 5p - p - 6 + 9

x = 4p + 3

The expression is

4p + 3

Hope this helps you

PLEASE HELP ASAP!!! ):

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

This is made slightly more difficult by the fact that the given polynomials are not in order of decreasing powers of x. So, you need to be careful what you're adding, to make sure the terms are "like".

__

Add: (-2x² +3x +4) +(x² -4x -5) = (-2+1)x² +(3-4)x +(4-5) = -x² -x -1

Opp: -(3x² -x +1) = 3x² +x -1

Sub: (x² +3x -4) -(-2x² +4x -3) = (1-(-2))x² +(3-4)x +(-4-(-3)) = 3x² -x -1

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar
HELP HELP

Answers

Answer:

Hello,

Step-by-step explanation:

f(x)=x+3 if -3≤x≤-1

(the line is passing trough (-3,0) and (-1,2) ==> y-0=(x+3)((2-0)/(-1+3) ==> y=x+3

f(x)=5 if -1≤x≤1

A quadrilateral ABCD has the area 10 square feet. After a dilation with a scale factor of 3, find the area of quadrilateral A'B'C'D'.

Answers

10 x 3^2

= 10 x 9

= 90

Ben wants to get a 94 in math class. His grade will be the average of two test scores. He scored an 89 on the first test. What grade does Ben need to get on his second test to meet his goal?

Answers

Answer:

Ben needs to get a 99% on his second test

Step-by-step explanation:

The average is the sum of both test scores, divided by the total number of test scores (2).

Let x by the grade Ben must receive on his second test.

(89 + x)/2 = 94

Multiply by 2 on both sides

89 + x = 188

Subtract 89 on both sides

x = 99

Check work:

(89 + 99)/2 = 188/2 = 99

Answer: 99

Concept:

Here, we need to know the idea of the average value.

In mathematics, average refers to the sum of a group of values divided by n, where n is the number of values in the group.

Average = Sum of value / number of values

Solve:

Given information

Scoring on first test = 89

Scoring on second test = x

Number of tests = 2

Average = 94

Given expression

Average = Sum of value / number of values

Substitute values into the expression

94 = (89 + x) / 2

Multiply 2 on both sides

94 × 2 = (89 + x) / 2 × 2

188 = 89 + x

Subtract 89 on both sides

188 - 89 = 89 + x - 89

[tex]\boxed{x=99}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Jolene bought 3 plants at a greenhouse. Each plant cost $2.50. To calculate the total cost of the plants, Jolene added (3(2)) + (3(0.50)). What property of multiplication did she use?*
A.Distributive Property
B.Associative Property
C.Commutative Property
D.Identity Property

Answers

Answer:

The answer is A.Distributive Property

Step-by-step explanation:

Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number

say in our given example $2.05.

When we decide to multiply 3 property with $2 and $0.5 which when added together will still give  $2.05, we are using distributive property of multiplication.

Hence according to distributive property 3*$2.05 is the same as

3*$2 + 3*$0.5

PLEASE HELP!!!!


The degree of x y 3 + 5 x 2 y − 3 x xy 3 +5x 2 y−3xis 8. True False

Answers

Answer:

it's true

Step-by-step explanation:

What is the difference between sin^-1 and sin?

Answers

Answer:

Step-by-step explanation:

sin of angle x is the trig ratio sine of x.

sin-1 x is the angle whose sine is x.

sin-1 x can also be written as arcsin x.

Consider an election with 681 votes a) If there are 5 candidates, what is the smallest number of first-place votes a candidate could win with under the Plurality method?

Answers

Answer:

137 votes

Step-by-step explanation:

considering an election with 681 votes and 5 candidates up for the election

dividing the votes among'st 5 candidates

= 681 / 5 = 136.2  hence the least number of first-place votes needed by a candidate using the plurality method  would be = 137 votes

136.2 + 136.2 + 136.2 + 136.2 + 136.2 = 681 ( dividing the votes equally )

136 + 136 + 136 + 136+136 = 680

hence the remaining vote = 681 - 680 = 1

least first-place vote = 136 + 1 = 137 votes

Find the value of the variable(s). (9x + 12) 3x (4y - 10)​

Answers

Answer:

2.07648468018

Step-by-step explanation:

Hi please answer ASAP please and thank you

Answers

Answer:

1 1/4

Step-by-step explanation:

2 3/4 - 1 1/2

3 3/4 - 1 2/4

1 1/4

The circle shown above has a radius of 5 units, and the central angle of the sector that is shaded is 25π radians. Determine the area of the shaded sector, in terms of π. Enter the area of the sector.

Answers

Answer:

The answer is below

Step-by-step explanation:

Given that:

The radius of the circle (r) = 5 units

The central angle (θ) = 25π

A sector of a circle is the portion of a circle made up of two of its radii and an arc. The area of a sector that subtends with a central angle (θ) and a radius (r) is given by the formula:

[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2[/tex]

Substituting the radius of the circle and the central angle:

[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2\\\\Area\ of\ sector=\frac{25\pi}{360} *\pi (5)^2\\\\Area\ of\ sector=\frac{125\pi^2}{72}[/tex]


Please answer this question now

Answers

Answer:

1471.15

Step-by-step explanation:

I need help ASAP!! Please explain how to do solve the problem.

Answers

Answer:

3

Step-by-step explanation:

The co-ordinates of the smaller and larger triangles are 4,5 3,2 & 6,3 and 12,15 9,6 18,9

To find out dilation factor,

Co-ordinates of smaller triangles* dilation factor=co-ordinates of

larger triangles(or use (kx,ky) where k is the dilation factor and x and y are the co-ordinates)

(4,5) (3,2) (6,3)k=(12,15) (9,6) (18,9)

Equate and solve,

k=(12,15) (9,6) (18,9)/(4,5) (3,2) (6,3)[Informal]

k=3

April typed a 5 page report in 50 mintues. Each page had 500 words at what rate is April typing

Answers

Answer:

Amy types at a rate of 50 words per minute

Step-by-step explanation:

In this question, we are interested in calculating the rate at which April is typing.

From the question, we can deduce that she typed a 5 page report, with each page having a total of 500 words.

Now, if each page has 500 words, the total number of words in all of the pages will be 5 * 500 = 2,500 words

Now, from here, we can see that 2,500 words were typed in 50 minutes.

The number of words per minute will be ;

Total number of words/Time taken = 2500 words/50 minutes

That will give a value of 50 words per minute

1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters

Answers

Answer:

All registered voters in Cleveland and the maximum percentage increase in taxes

A. (-2,-1)
B. (-1,-2)
C. (1.-2)
D. (2,-1)

Answers

Answer:

D. 2,-1

Step-by-step explanation:

When a line is reflected by y=x, the x and y switch.

Michelle's last electric bill listed a previous reading of 17.934 kWh. This month, the electric meter reading is
18,796 kWh. If the electric company charges $0.09 per kWh, what is the charge for usage?

Answers

Answer:

charge = 18796 * 0.09$

=1691.64$

Step-by-step explanation:

Answer:

18796 * 0.09$

=1691.64$  

Step-by-step explanation:

Other Questions
Need help :).please TB MC Qu. 8-174 LBC Corporation makes and sells ... LBC Corporation makes and sells a product called Product WZ. Each unit of Product WZ requires 2.0 hours of direct labor at the rate of $16.00 per direct labor-hour. Management would like you to prepare a Direct Labor Budget for June. The company plans to sell 39,000 units of Product WZ in June. The finished goods inventories on June 1 and June 30 are budgeted to be 610 and 110 units, respectively. Budgeted direct labor costs for June would be: need help with these questions!!! please explain bc I don't really get it! the distance of a point P(x, y) from the origin O(0, 0) is given by OP=__ YOU HAVE A GARDEN HOSE AND A 0.5 LITER CONTAINER AND A 0.3 LITER CONTAINER. YOU NEED TO MEASURE OUT 0.1 LITER OF WATER. HOW DO YOU DO IT QUESTION 5Complete the following sentence with the appropriate form of the verb in parentheses. Pay attention to the specified tenses.Nosotrosla comida cuando entraron ms invitados. (servir, imperfect progressive) Choose the correct tag They will soon discuss the matter. would he? wouldn't he? won't they? Subtract 2x^2 -9x - 7 from 8x^2 -5x + 9. Please help me ASAP...A train increases its speed steadily from 10 m/s to 20 m/s in 1 minute. a What is its average speed during this time, in m/s? b How far does it travel while increasing its speed? football team, won 35 out of 39 games over a period of 4 years. if they keep winning pace, predict how many games you would expect them to win over the next 78 football games When there is an economic downturn, Congress and the President use fiscal policyLOADING... to stabilize real GDP. But the conduct of the fiscal policy involves several time lags, such as the recognition time lag that causes a delay in identification of the economic problem, the action time lag that is caused by the delay in Congressional approval of the policy, and the effect time lag that arises because policy actions take time to exert their full effects on the economy. These time lags could actually cause discretionary fiscal policy to 9: It's no good _____ a fuss and arguing over such an unimportant issue.A. making B. holding C. doing D. getting Answer in Detail !!! Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space. A tree diagram is shown. The first three choices are art, science, and math. From art, one branch is math, science and the other branch is science, math. From science, one branch is art, math and the other branch is math, art. From math, one branch is art, science and the other branch is science, art.Based on the tree diagram, what is the probability that the science project is first? one over six three over six four over six two over six If there are:6 red marbles10 yellow marbles5 green marblesand 1 blue marble What is the probability of picking 1 blue marble and 1 green marble? (Once a marble is chosen it is NOT put back into the box). (Write your answer in the form of a decimal, round to 2 places). EXERCISE 4: Put in the, a/ an or 0.1. Jasons father bought him_____ bicycle that he had wanted for his birthday.2. Statue of Liberty was a gift of friendship from_____ France to_____ United States.3. Rita is studying English and__________ math this semester.4. judge asked witness to tell_____ truth.5. Please give me_____ cup of coffee with_____ cream and_____ sugar.6. big books on_____ table are for my history class.7. No one in_____ Spanish class knew_____ correct answer to_____ Mrs Browns question.8. 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Harry has been admitted to_____ School of Medicine at_____ Mid Western University.22. Mels grandmother is in_____ hospital, so we went to visit her_____ last night.23. political science class is taking_____ trip to_____ France in_____ spring.24. Queen Elizabeth II is_____ monarch of_____ Great Britain.25. Scientists sent_____ expedition to Mars during_____ 1990s.26. Last night there was_____ bird singing outside my house.27. chair that you are sitting in is broken.28. Civil War was fought in_____ United States between 1861 and 1865.29. Florida State University issmaller than_____ University of Florida.30. There was knock on_____ door. I opened it and found _____ small dark man in _____ blue overcoat and_____ woolen cap.31. Do you know_____ time?Yes, _____ clock in hall has just struck nine. Then it isnt_____ time to go yet.32. listening to_____ teacher is useful for all of us.33. Most of_____ students working in_____ garden are tired.34. 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One of your friends tells you, "I didnt like the environmental-awareness presentation today. First of all, it was too long, not to mention the person that gave it was drinking out of a polystyrene cup and drove away in a huge SUV." What kind of processing might your friend be using?A. Central-route processing.B. Peripheral-route processing.C. Cognitive-route processing.D. Visual-route processing.