In right triangle ABC shown to the right, the lengths of AB, BC, and BE are 20, 15, and 6, respectively. What is the length of DE?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Assuming the diagram is thesame as the one attached,

From the diagram,

Triangle ABC is similar to Triangle DEC

ΔABC is similar to ΔDEC

Note: In similar triangle, ratio of corresponding sides are equal

Therefore,

line(AB) /line(DE) = line(BC)/line(EC).................... Equation 1

Given: AB = 20, BC = 15, EC = BC-BE = (15-6) = 9

Substitute these values into equation 1 and solve for Line DE

20/DE = 15/9

DE = (20×9)/15

DE = 12.

Hence line DE = 12.

In Right Triangle ABC Shown To The Right, The Lengths Of AB, BC, And BE Are 20, 15, And 6, Respectively.
Answer 2

Answer:

\(DE=12\)

Step-by-step explanation:

From the question we are told that:

 \(AB=20\\\\BC=15\\\\BE =6\)

Generally the equation for the similar triangles is mathematically given by

  \(\frac{AB}{BC} =\frac{DE}{EC}\)

Where

 \(EC = BC - BE \\\\EC= 15-6 \\\\EC= 9\)

Therefore

 \(\frac{20}{15} =\frac{DE}{9}\)

 \(\frac{20*9}{15} =DE\)

 \(DE=12\)


Related Questions

I have to take your car to the shop for a weird noise the mechanic charges a flat rate of $100 for looking at your car everything in our to fix the problem write an algebra expression where p represents how much you have to pay at h is the number of hours it will take to get your car fixed

Answers

The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

You had to take your car to the shop for a weird noise. The mechanic charges a flat rate of $100 for looking at your car and $50 an hour to fix the problem.

Let P represents the amount of pay and x be the number of hours. Then the linear equation is given as,

P = 50x + 100 where p is amount

The equation of the amount of pay and the number of hours it takes to get your car fixed will be P = 50x + 100.

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Maria receives 1.5% interest on a money-market account. If she has $5,000 currently invested,
how much interest should she expect to receive after one year?
A. $5075 B. $75
C. $750 D. $5750 E. $7.50

Please show the work

Answers

Answer:

B. 75

Step-by-step explanation:

1.5% of 5000 is 75

746.2 divided by 2.8 and need help to explain it

Answers

Answer:

266.5

Step-by-step explanation:

I directly used calculator

Solve for x: 5x one third(3x 6) > 14 x > twelve fifths x > 2 x < twelve fifths x < 2

Answers

Answer:

x > 2

Step-by-step explanation:

I hope this helps

confused with this compound inequality question: a + 4 < -9a - 6 ≤ 6 - 5a

Answers

Answer:

Step-by-step explanation:

a+4<-9a-6

10a<-6-4

10a<-10

a<-1

-9a-6≤6-5a

-6-6≤-5a+9a

-12≤4a

-3≤a

-3≤a<-1

Factorize the following:
-x-y=

Answers

-(x + y)
Step by Step Explanation

Factor the expression completely. 72+63x

Answers

Answer:

9(8 + 7x)

Step-by-step explanation:

Factorize:

     Find the GCF of 72 and 63 x.

72 = 9 * 8

63x= 9 * 7 * x

GCF = 9

72 + 63x = 9*8 + 9*7*x

               = 9*( 8 + 7x)

Show your work.
1) 800 yards into feet.

2) 1,540 decimeters into meters

3) 15 gallons into pints

4) 20.56 milligrams into centigrams

5) 61°F to C°

6) 10°C to °F

7) 27°F to °C

Answers

Answer:

1= 2,400 feet

2= 154 meters

3= 120 pints

4= 2. 056 centigrams

5= 16.1 C

6= 50F

7= -2.8C

1= multiply the length value by 3

2= divide the length value by 10

3= multiply the volume value by 8

4= divide the mass value by 10

5= Take the °F temperature and subtract 32. Multiply this number by 5. Divide this number by 9 to obtain your answer in °C.

6= multiply the temperature in degrees Celsius by 2, and then add 30 to get the (estimated) temperature in degrees Fahrenheit.

Answer:

1) 800 yards into feet.

Now

we have

1 yard=3ft

800yard=800*3=2400ft

2) 1,540 decimeters into meters

we have

10deci meter=1 meter

1decimeter =1/10meter

1540decimetre=1540/10=154meters

3) 15 gallons into pints

1 gallon =8 pints

15 gallons=8*15=120pints

4) 20.56 milligrams into centigrams

we have

10milligram=1 centigram

20.56milligram=1*20.56/10=2.056centigram

5) 61°F to C°

Formula

(61°F − 32) × 5/9 = 16.11°C

61°F=16.11°C

6) 10°C to °F

Formula

(10°C × 9/5) + 32 = 50°F

10°C =50°F

7) 27°F to °C

Formula

(27°F − 32) × 5/9 = -2.78°C

27°F=-2.78°C

Quadrilateral JKLM was dilated according to the rule
DO,One-half(x,y)(one-half x, one-half y) to create the image quadrilateral J'K'L'M', which is shown on the graph.

On a coordinate plane, quadrilateral J prime K prime L prime M prime has points (0, negative 2), (3, 2), (6, negative 2), and (3, negative 6).

What are the coordinates of vertex J of the pre-image?

(0, -4)
(0, -1)
(0, 0)
(0, 4)

Quadrilateral JKLM was dilated according to the ruleDO,One-half(x,y)(one-half x, one-half y) to create

Answers

Answer: (0,-1) I just took the quiz:)

Answer:

b is the answer

Step-by-step explanation:

what is the horonzontial distance between the two points(3,4) and (8,4)

Answers

Answer:

Distance  =  5.099

Step-by-step explanation:

A line passes through the points (20, 2) and (10, 1). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

\(y = \frac{1}{10}x\)

Step-by-step explanation:

What is slope-intercept form?

\(y = mx + b\)"m" is the slope"b" is the y-intercept (the y-value for when x = 0)

First, we need to find the value of "m" using the slope formula.

What is the slope formula?

\(m = \frac{y_2-y_1}{x_2-x_1}\)\((x_1,y_1)\) is a coordinate that you are given\((x_2,y_2)\) is another coordinate that you are given

Substitute the two coordinates you are given into the slope formula.

\(m = \frac{1-2}{10-20}\)

\(m = \frac{-1}{-10}\)

\(m = \frac{1}{10}\)

Substitute the value of "m" into the slope-intercept form equation.

\(y = \frac{1}{10}x + b\)

Next, we need to find the value of "b". To do so, substitute a coordinate that you are given into the equation and solve for "b".

I am going to use (10,1), but you can also use (20,2).

\(1 = \frac{1}{10} (10) + b\)

\(1 = 1 + b\)

\(0 = b\)

Substitute the value of "b" into the slope-intercept form equation.

\(y = \frac{1}{10}x\)

What’s 5x-2=25x+14? (please explain)

Answers

Answer:

x = - \(\frac{4}{5}\)

Step-by-step explanation:

Given

5x - 2 = 25x + 14 ( subtract 25x from both sides )

- 20x - 2 = 14 ( add 2 to both sides )

- 20x = 16 ( divide both sides by - 20 )

x = \(\frac{16}{-20}\) = - \(\frac{4}{5}\)

Which of the following departments would most likely be classified as a cost center in a large department store? Select one: A. The men's clothing department B. The hardware department C. The women's shoe department D. The accounting department

Answers

The departments that would most likely be classified as a cost center in a large department store is The accounting department (option d).

A cost center is a department or unit within an organization that incurs costs but does not directly generate revenue. Its main purpose is to provide support services or resources to other departments in the organization. Based on this definition, let's analyze the given departments:

Mathematically, we can represent the classification of departments as follows:

Let C = {A, B, C, D} be the set of given departments.

For a department to be classified as a cost center, it should satisfy the following conditions:

Department does not directly generate revenue.

Department provides support services or resources internally.

Based on these conditions, we can determine the classification as follows:

A ∈ C: Not a cost center (Revenue generation department)

B ∈ C: Not a cost center (Revenue generation department)

C ∈ C: Not a cost center (Revenue generation department)

D ∈ C: Cost center (Provides internal support services)

Therefore, based on the analysis, the accounting department (D) is most likely to be classified as a cost center in a large department store.

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Use the equation of f(x) below to evaluate the following: x?, x < 0 f(x)= {2, 03 4. f(-4) 5. f(3) 6. f(12) 0

Use the equation of f(x) below to evaluate the following: x?, x &lt; 0 f(x)= {2, 03 4. f(-4) 5. f(3)

Answers

For point 4. Since -4 is less than zero, that is

\(-4<0\)

then to find f(-4) replace x = -4 into x², like this

\(\begin{gathered} f(-4)=(-4)^2 \\ f(-4)=16 \end{gathered}\)

For point 5. Since 3 is in the interval

\(0\le x\le3\)

then

\(f(3)=2\)

Finally, for point 6. Since 12 is greater than 3, that is

\(12>3\)

then to find f(12) replace x = 12 into 4-x, like this

\(\begin{gathered} f(12)=4-12 \\ f(12)=-8 \end{gathered}\)

A measure of goodness of fit for the estimated regression equation is the.

Answers

A measure of goodness of fit for the estimated regression equation is the residual standard error (RSE)

It is a measure of goodness of fit for the estimated regression equation. It measures the average amount that the response variable (y) deviates from the estimated regression line, in the units of the response variable.

The RSE is calculated as the square root of the sum of squared residuals divided by the degrees of freedom. A smaller RSE indicates a better fit of the regression line to the data.

It represents the proportion of the variation in the dependent variable that is explained by the independent variable(s) in the model. The value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the model to the data.

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Scherita invests $2300 in one account and $2400 in an account paying 3 % higher interest. At the end of one year she had earned $166 in interest. At what rates did she invest?
PLEASE PLEASE HELP!!!

Answers

The Interest Rates are 2% and 5% respectively

What is Simple Interest?

Simple interest is a quick and straightforward way to calculate the interest on a loan. Simple interest is calculated by multiplying the daily interest rate by the principle multiplied by the number of days between payments.

Solution:

Let, the lesser interest rate be x

Simple Interest = Principal*Time*Rate/100

Total Interest = $166

166 = 2300*x*1/100 + 2400*(x + 3)*1/100

166 = 2300x + 2400x + 7200 / 100

16600 = 4700x + 7200

9400 = 4700x

x = 2%

and the Higher Interest Rate = 5%

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A company charges 9% processing fees for any online order. If Fadi orders items for a total of AED 500 , how much does he pay in total?

Answers

Fadi had to pay $545 in total.

what is percent?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Total amount= AED 500

and, Charges by company= 9%

So, amount of charge

= 500 x 9/100

= 500 x 0.09

= 45

So, he need to pay

= 500 +  45

= $545

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What is the acceleration of the sled and the normal force acting on it, to the nearest tenth? a = 1.3 m/s2; fn = 63.1 n a = 1.6 m/s2; fn = 65.6 n a = 1.9 m/s2; fn = 93.7 n a = 2.2 m/s2; fn = 78.4 n

Answers

The acceleration of the sled and the normal force acting on it is

a = 1.3 m/s²; FN = 63.1 N.

What is fictional force?

The force produced when two surfaces collide and slide against one another is known as frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces..

Given that,

8 kg is indicated as the sled[mass. ]'s

The fictional force is given as 2.4 N

A force of 20 N was exerted on the sled at angle of 50⁰.

The force is split into vertical and horizontal components,

\(F_{h} =F_{p}cos\)  And  \(F_{v}=F_{p} sin\)

Here  \(F_{h}\) is the horizontal component and \(F_{v}\)  is the vertical component.

\(F_{h} =20\) × \(cos50\) = 12.85575219 N

Similarly,  \(F_{v} =\) 20 × \(sin50=15.32088886 N\)

Since there is no motion in the vertical direction, the sum of the vertical components is 0.

Hence, \(F_{N}\)+\(F_{P}sin =mg\) where g is the acceleration due to gravity.

\(F_{N}=mg-F_{p}sin50\)⁰

\(F_{N}=8\) × \(9.8-15.32088886\)  [In this case, g is 9.8 m/s²]

= 63.1 N

The acceleration of the sled and the normal force acting on it is

a = 1.3 m/s²; FN = 63.1 N.

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Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12.
What is the length of Line segment B C, rounded to the nearest tenth?

13.0 units
28.8 units
31.2 units
33.8 units

Answers

Answer: 31.2

Step-by-step explanation:

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on

The best answer here seems to be 31.2

I'd check some other answers though too, im abismal at math

In an inverse variation, y = 3 when x = 8. Write an inverse variation equation that shows
the relationship between x and y.
Write the equation using a decimal or an integer.


How do I find this?

Answers

Answer:

y = 24/x

Step-by-step explanation:

An inverse variation equation is:

y = k/x

We have y = 3 when x = 8, find the coefficient k:

3 = k/8k = 3*8k = 24

The equation is:

y = 24/x

What is the equation in point-slope form of a line that passes through the points (3,-5) and (-8, 4).

What is the equation in point-slope form of a line that passes through the points (3,-5) and (-8, 4).

Answers

Answer:

C

Step-by-step explanation:

What is the equation in point-slope form of a line that passes through the points (3,-5) and (-8, 4).

A hashing algorithm is a routine that converts a primary key value into a relative record number. T/F

Answers

True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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I need help please with 6, 7 and 8

I need help please with 6, 7 and 8

Answers

6. Solution for |2x-3| = |x| are x = 1,3

7. Solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8. Number of computer meets in the condition = 6

Average:

                Average of given number is given by sum of all numbers divided by total number of numbers.

6.  |2x-3| = |x|

Case I :

            when x<0

            |2x-3| = |x|

           -(2x-3) = -x

           -2x + 3 = -x

             2x - x = 3

            x = 3 ( Not possible as x<0 )

           No solution in this case.

Case II :

            when   0< x< 3/2

              |2x-3| = |x|

            -(2x -3) = x

            -2x + 3 = x

             2x +x = 3

             3x = 3

              x =1 (Valid solution)

Case III :

             when x>3/2

             |2x-3| = |x|

             2x-3 = x

             2x -x =3

              x = 3 (Valid solution)

Thus solution for |2x-3| = |x| are x = 1,3

7.

          8 + |4v - 7| ≥ 17

               |4v - 7|  ≥ 17 -8

                |4v - 7| ≥ 9

      ⇒   4v - 7 ≥ 9

            4v ≥ 9+7

             v ≥  4

and,

         4v - 7 ≤ - 9

         4v ≤  -2

          v ≤ -1/2

     Thus solution for 8 + |4v - 7| ≥ 17 is,

          v ≥  4 ,  v ≤ -1/2

8.

       We know,

                  Average of quantity =  sum of quantity / Number of quantity

    For the given question,

        Sum of price of all computer =  $ (890+650+ 660+450+        725+750+370+670+650+825)

                                   = $ 6640

  and       Number of computer = 10

Average price of computer = $ 6640/10

                                          = $ 664

      Absolute deviation is  $100

So i can pay price between

                                          ($ 664 - $100) to ($ 664 + $100)

                                         that is $564 to  $764

Number of computer meets in this condition = 6

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The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = (f(x))(g(x)) h(x) = f(x) – g(x) h(x) = f(x) + g(x)

Answers

The equation that represents h(x) is h(x) = (f(x))(g(x)).

To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).

Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).

Let's examine the table and compare the values:

x | f(x) | g(x) | h(x)

1 | 3 | 4 | 12

2 | 5 | 2 | 10

3 | 2 | 6 | 12

From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).

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Answer:

It's B.

Step-by-step explanation:

Edge 2020.

The sum of three consecutive even integers is 162.
What are the integers?

Answers

Answer:

The integers will be: 53,54,55

Step-by-step explanation:

A number is decreased by seven. Then, the new number is multiplied by three to get an answer of -7 what is the original number

Answers

x-7×3=-7

x-21=-7

x=-7+21

x=14

Last year, there were “x” students in the Math Club, but this year, there was a 40% increase in membership. Represent this year’s membership in terms of “x”.

Answers

Answer:

(x)1.4=Y

Step-by-step explanation:

40% increase of memeber so ita 140% of X

Solve the system of linear equations using any method

Solve the system of linear equations using any method

Answers

I believe the correct answer is the first one. 3,-4

A sequence of translations maps triangle ABC to triangle A'B'C'.
Triangle ABC has vertices at G(-8,2), H(13.2), I(-2.10)
The coordinates of A' are (-1,-3).
What are the coordinates for B and Cl?
AM
M

A sequence of translations maps triangle ABC to triangle A'B'C'.Triangle ABC has vertices at G(-8,2),

Answers

Hi, did you ever get the answer?

I'm doing a test now and I was seeing if you could tell me the answer because I'm not 100% what it is.

give an example of an unbounded sequence that has a convergent subsequence.

Answers

Since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

If every term of the sequence is either greater than or equal to (≥) some number M or less than or equal to (≤) some number N (finite numbers), then the sequence is said to be bounded.

Otherwise, the sequence is said to be unbounded. And, if a sequence has a convergent subsequence, then the sequence is called bounded.

Let’s look at the example to answer the question.

Example of an unbounded sequence that has a convergent subsequence:

Let {an} = 1, 2, 3, 4, 5, 6, 7, …It is an unbounded sequence since there is no number that can be defined as M or N, that will make every term of the sequence less than or equal to (≤) or greater than or equal to (≥) this number (M or N).

However, {an} = 1, 2, 3, 4, 5, 6, 7, … has a convergent subsequence which is {an} = 1, 2, 3, 4, 5, 6, 7, … itself.

And, since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

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