What is AE?
Enter your answer in the box?

What Is AE?Enter Your Answer In The Box?

Answers

Answer 1

Answer:

AE = 18 units

Step-by-step explanation:

Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is

[tex]\frac{AE}{DE}[/tex] = [tex]\frac{AB}{DC}[/tex] , substitute values

[tex]\frac{2x+4}{x+8}[/tex] = [tex]\frac{12}{10}[/tex] ( cross- multiply )

10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides

20x + 40 = 12x + 96 ( subtract 12x from both sides )

8x + 40 = 96 ( subtract 40 from both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Then

AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units


Related Questions

-32=8n I need help please

Answers

Answer:

n = -4

Step-by-step explanation:

-32=8n

Divide each side by 8

-32/8 = 8n/8

-4 = n

A N S W E R :

- 32 = 8n

Cross multiplying we get

n = -32/8

n = -4

Henceforth, the required solution is -4

will mark brainliest!!

Answers

Answer:

In March she sent 752 texts

In April she sent 617

Step-by-step explanation:

The phone bill is 35 + additional texts, so in both bills the value relative to the texts are:

72.6 - 35 = 37.6 for March

65.85 - 35 = 30.85 for April

Each texts costs 0.05, so if we divide the value relative to the texts by 0.05 we will have the number of texts she sent:

37.6/0.05 = 752 texts

30.85/0.05 = 617 texts

Three pieces of wood measure 20 cm, 41 cm, 44 cm. If the same amount is cut off each piece, the remaining length can be formed into a right triangle. What is the length that is cut off?

Answers

The length that can be cut off from the three given pieces of wood equally to form a right triangle is 5 cm

Given parameters:

dimension of the three pieces of wood = 20 cm, 41 cm and 44 cm

To find:

the length that is cut off to form a right triangle

let the length that is cut off from each of the wood = y

From Pythagoras theorem, we will have the following equation.

[tex](44-y)^2 = (20-y)^2 + (41-y)^2\\\\expand \ the \ equation \ as \ follows;\\\\1936 - 88y + y^2 = 400 - 40y + y^2 + 1681 - 82y + y^2\\\\simplify \ by \ collecting \ similar \ terms \ together\\\\(1936 - 400- 1681) + (-88y + 40y+ 82y) + (y^2 - 2y^2) = 0\\\\-145 +34y - y^2 = 0\\\\multiply \ through \ by \ (-1)\\\\y^2-34y + 145 = 0\\\\factorize \ the \ above \ quadratic\ equation\\\\y^2 -5y - 29y + 145 = 0\\\\y(y - 5) -29(y - 5)=0 \\\\(y -5)(y-29) = 0\\\\y = 5 \ \ \ or \ \ \ \ y = 29[/tex]

Since the least measurement of one of the pieces of the wood is 20 cm, we cannot cut off 29 cm.

Thus, the highest amount we can cut off equally is 5 cm

learn more here: https://brainly.com/question/15808950

Use the provided graph to write the vertex form equation of the parabola.

Answers

Answer:

(x-6)^2+y=3

Step-by-step explanation:

The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3

An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?

Answers

Answer:

not D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The value of G for a one-piece 30° x 60° angle iron bracket is 1'/4 inches, and the width of the angle iron is 2 inches. What is the thickness of the metal, in inches? A. 31/4 inches B. 3/4 inch C. 21/2 inches D. 1/4 inch

Answers

Answerb

Step-by-step explanation:

yeal

C={X:X is even number X less than n equal to 7}

Answers

Answer:

ok

Step-by-step explanation:

ok

Write in word form.
4. 572
5. 2.897
6. $325.10​

Answers

Answer:

heyyy thereee

4) 572 = five hundred seventy two

5) 2.897 = two and eight hundred ninety seven thousandths

6) three hundred twenty five and 10 hundredths  or three hundred twenty five and 1 tenth

glad if brainliest ig ?

i need help asap im timed

Answers

Answer:-

Refer to attachment for the required solution.

Answer:

Step-by-step explanation:

Help me please and thank you

Answers

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

Multiply
(5a-2a)(7a-3b)
Simplify your answer

Answers

Answer:

21a² - 9ab

Step-by-step explanation:

(5a-2a)(7a-3b)

35a² - 15ab - 14a² + 6ab

35a² - 14a² - 15ab + 6ab

21a² - 9ab

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Joyce had business cards made through a printing company. They charge an initial fee of $12 and $3.99 for each box of 100 business cards. If Joyce needs 5 boxes, how much will she be charged?
A. $31.95
B. $52.88
C. $119.95
D. $63.99

Answers

Answer:

The correct choice is option A. $31.95

Step-by-step explanation:

The total cost would be the basic fee + the price of the boxes.

So, the initial fee is $12, Joyce needs 5 boxes, and $3.99 is charged per box.

$12 + 5 × $3.99 = 31.95

Given f(x)=6x+2, find f(x+3).

Answers

Answer:

f(x+3) is 6x + 20

Step-by-step explanation:

[tex]{ \sf{f(x) = 6x + 2}} \\ { \sf{f(x + 3) = 6(x + 3) + 2}} \\ = { \sf{6x + 20}}[/tex]

i need help anybody ?

Answers

Answer and Step-by-step explanation:

Simply use the Pythagorean Theorem to solve.

The Pythagorean Theorem is used to solve for a side in right triangles.

[tex]A^{2} +B^{2}= C^{2}[/tex]

Plug the sides values into the equation.

[tex]A^{2} + 13^2 = 20^2\\\\A^2 + 169 = 400\\\\A^2 = 231\\\\A = 15.1987[/tex]<- This is the answer.

#teamtrees #PAW (Plant And Water)

Solve 3x-4>11 if the domain of x is {1,2,3,4,5,6,7,8}

Answers

Answer:

(6,7,8)

Step-by-step explanation:

solving the inequality will give x>5

COULD A KIND SOUL PLEASE HELP ME OUT???!!!!!!

Determine the measure of x in the figure below.

show how you go the answer so I can see if it makes sense!!!

Answers

Answer:

138

Step-by-step explanation:

x is an exterior angle of a triangle.

If you didn't know, an exterior angle of a triangle is equal to the sum of its opposite interior angles.

The opposite interior angles of x have measures of 80 degrees and 58 degrees.

Hence, x = 80 + 58 = 138

Answer:

138

80+58 = 138

180 - 138 = 42

42+x = 180

x = 180-42 = 138

Step-by-step explanation:

the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers

Answers

Answer: x= -189, y =252

Step-by-step explanation:

Let the first number be x and second number be y

so

x + y = 63

x = 63-y

now

1/9 of x + 1/6 of y = 21

x/9 + y/6 = 21

substituting x's value from equation i

(63-y)/9 + y/6 = 21

(378-6y+9y)/54 = 21

378+3y = 1134

3y = 1134-378

so, 3y = 756

so, y = 756/3

so, y = 252

now

x = 63-252

so, x = -189

what is the value of x ?

Answers

Answer:

x = 18

Step-by-step explanation:

11 x 11 = 121

10 x 10 = 5x + 10

100 = 5x + 10

90 = 5x

x = 90/5

x = 18

If the campers at Camp Grilled Meat prefer hot dogs to hamburgers by a ratio of 4:3, and they need 500 hot dogs, how many hamburgers will they need?

Answers

Step-by-step explanation:

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Apples are cut into 8 pieces to be shared among some children. Twenty-two bags of seven apples are used. How many pieces of apple are cut?

Answers

Answer: 1232 pieces

Work Shown:

1 bag = 7 apples

22 bags = 22*7 = 154 apples

So we have 154 apples to work with in total.

Each of those apples is cut into 8 pieces, giving us 8*154 = 1232 pieces

We can write it as one single calculation to say 22*7*8 = 1232

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The median of the lower half of the data set is the _____________.
A. Third quartile
B. First quartile
C. Fourth quartile
D. Second quartile

Answers

Answer:

B. First quartile

Step-by-step explanation:

The first quartile is the first 25% of a line graph, and the median of the lower half of a data set would be the median of the median, which means it would split the graph at 25%

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is incorrect about the data set that includes 1,2,3,4,5,6,7?
A. The data set has no mode
B. The data set has a second quartile of 6
C. The data set has the same mean and median
D. The data set has an interquartile range of 4

Answers

Answer:

b or d

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

A mode is the value that appears most frequently in the data set because there is not more than one of any number the data set has no mode.

Which graph represents a function?

Answers

Answer:

D, the horizontal line is a function

Step-by-step explanation:

To pass the vertical line test, a vertical line cannot go through the function more than once

A is a vertical line so it will fail the vertical line test

B will fail the vertical line test at many points.  One example is at

x =0 where you can see it will intersect at two points

C will fail the vertical line test at many points.  One example is at

x =0 where you can see it will intersect at two points

D is a horizontal line.  This will pass the vertical line test

A circle has a radius of 11m . Find the radian measure of the central angle that intercepts an arc of length 6 m .

Answers

Answer:

Step-by-step explanation:

θ=l/r

θ=6/11 radians

≈0.555... radians

factorise (x+1)^2 + 4(x+1)

Answers

Answer:

(x + 1)(x + 5)

Step-by-step explanation:

Given

(x + 1)² + 4(x + 1) ← factor out (x + 1) from each term

= (x + 1)(x + 1 + 4)

= (x + 1)x + 5)

please help me is for my homework​

Answers

Answer:

13/50

Step-by-step explanation:

Answer:

26/100

Method:

Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)

7 x ..... = 364 whats the missing number ?

Answers

To find the missing number divide 364 by 7

364 / 7 = 52

The missing number is 52

Answer:

52

Step-by-step explanation:

In this equation, you would have to use inverse operations.

Since this equation is a multiplication equation, you need to do the opposite, division. So, 364 ÷ 7 = 52

Hope this helps! :)

Graph the solution set to this inequality 3x - 11 > 7 x + 9

Answers

Answer:

-5 > x

Step-by-step explanation:

3x-11 > 7x+9

-20 > 4x

-5 > x

Please help. TIMED! (15 pts)
Use the following data to calculate the curve of the best-fit.

Answers

Answer:

y = 0.4x^2 + 3.4x + 4

Step-by-step explanation:

The coordinates (-5,-3) work with this equation. Please give brainliest, I need 1 more to move on to the next tier.

Answer:

2nd option

Step-by-step explanation:

putting x = 1 in the 3rd option,

0.4+3.4+4 = 7.8

HELP OUT PLZZZZZZZZZZZZZZZZz

What is the measure of the angle if an angle if it is 300 less than five times its own supplement

Angle = _______ degrees

Answers

Answer:

100°

Step-by-step explanation:

Let the angle = x

Its supplement = 180 -x

5*(180 - x ) - x = 300    

5*180 - 5*x - x= 300    {Distributive property}

900 - 5x  - x = 300     {Combine like terms}

900 - 6x  = 300         {Subtract 900 from both sides}

       -6x = 300 - 900

      -6x = -600           {Divide both sides by (-6)}

          x = -600/-6

        x = 100

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