in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?

In The Figure Above, The Area Of Square ABCE=x^2 And DC=y. What Is The Area Of Triangle AED?

Answers

Answer 1

Answer:

The area of triangle AED = (x^2-xy)/2

Step-by-step explanation:

Mathematically, the area of a square is the product of its side lengths

Thus, if the area is x^2; then the side of the square measures x

So each of the side of the square has a measure x units

Now, for the base of the square;

EC = ED + DC

x = ED + y

ED = x - y

Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2

The height here is x and the base is (x-y)

We have this as;

Area of triangle AED =

1/2 * x * (x-y)

= (x(x-y))/2

= (x^2-xy)/2


Related Questions

plz help this is due tomorrow
[tex](4 + \sqrt{2} )(6 - \sqrt{2} )[/tex]

Answers

Answer:

22 + 2|/2

Step-by-step explanation:

24 - 4|/2 + 6|/2 - |/4

24 + 2|/2 - 2

24 - 2 + 2|/2

22 + 2|/2

note: |/ means root

couldn't find a sign for root so just makeshift with that

hope it helps.

PWEASE HELP, PWEASE PWEASE PWEASE HELP

Answers

Answer:

Length of rectangle parking lot = 94 m

Width of rectangle pool = 85 m

Step-by-step explanation:

Given:

Perimeter of rectangle = 300 m

Width of rectangle parking lot = 56 m

Find:

Length of rectangle parking lot

Area of rectangle pool = 8,245 m²

Length of rectangle pool = 97 m

Find:

Width of rectangle pool.

Computation:

1. Perimeter of rectangle = 2[l+b]

2[56 + l] = 300

56 + l = 150

Length of rectangle parking lot = 94 m

2. Area of rectangle = L x B

97 x Width of rectangle pool = 8,245

Width of rectangle pool = 85 m

Answer:

The length of the rectangle parking lot is 94 meters.

Rectangle pool width = 85 m

Step-by-step explanation:

i hope it helpss

Here are some of the lowest tempatures recorded in the last 2 centuries for some US cities. Tempatures are in degrees Farhrenheit. Which of these states has the lowest record tempature?




-Death valley, CA -45 in January of 1937

-Danbury,CT was -37 in Febuary of 1943

-Monticello, FL was -2 in Febuary of 1899

- East saint Louis,IL was -36 in January of 1999

- Greenvillie, GA was -17 in january of 1940

Answers

Answer:

wouldn't it be A?

Step-by-step explanation:

Determine for each number whether it is a rational or irrational number.​

Answers

In order:

irrational

irrational

rational

rational

What is the next term in the pattern 0.4, 0.8, 1.2, 1.6, ...?

Answers

Answer:

2.0, 2.4. 2.8

Step-by-step explanation:

Choose all the statements about the hexagon that are true.

Answers

Answer:

B, D

Step-by-step explanation:

Sorry if I'm wrong. I dont know if E is right or not

Answer:

B, D

Step-by-step explanation

If triangle ABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point B?

Answers

Answer:

0,6

Step-by-step explanation:

I hope this helps lol

Help me quick please I can’t see link so real people answer this

Answers

Answer:

Answer is in a photo. I couln't attach here, but l uploaded it to a file hosting.

link below! Good Luck!

bit. ly/3a8Nt8n

Step-by-step explanation:

Use a formula to find the surface area of the cylinder. Use 3.14 for pi

Answers

Answer:

A = 376.99

Step-by-step explanation:

A=2πrh+2πr2

Just plug in and solve:

A=2πrh+2πr2

A = 376.99


Which expression is equivalent to the number 144?
A. 23.32
B. 23.33
C. 24.32
D. 24.36

Answers

Answer:

d

Step-by-step explanation:

Please help! I need this asap! Thank you. (^-^)

Answers

Answer:

b

Step-by-step explanation:

it isss b i’m pretty sure



Which statement is true for ALL quadratic functions?
All quadratic functions have a maximum point.
All quadratic functions have a domain of all real numbers.
All quadratic functions have a range of all real numbers.
All quadratic functions have a minimum point.

Answers

Answer: All quadratic functions have a domain of all real numbers.

Step-by-step explanation:

Ana compró una cartera cuyo precio original es de x dólares con el 10% de descuento y un perfume con precio original de B dólares con un descuento del 15%¿cuanto gasto en total Ana?

Answers

Answer:

Tarea:

Ana compró una cartera cuyo precio es x dólares con el 10% de descuento y un perfume con precio original en dólares con un descuento del 15%. ¿Cuánto gastó Ana en total?

- Solución:

El precio estará en lenguaje algebraico, ya que no nos dan el dato de cuánto costó cada artículo.

• Hallamos el precio de la cartera con el descuento:

El precio original es x, entonces:

Regla de tres:

100 % --------> x

10 % -----------> ?

10 . x : 100 = ?

10x/100 = ?

El 10% del precio de la cartera es 10x/100.

Entonces el precio de la cartera es (x-10x/100).

• Hallamos el precio del perfume con el descuento:

El precio original es y, entonces:

Regla de tres:

100% -------> y

15 % --------> ?

15.y/100

El 15% del perfume es 15y/100.

Entonces el precio del perfume con el descuento es (y-15y/100).

Entonces lo que gastó en total es:

(x - 10x/100) + (y - 15y/100)

Step-by-step explanation:

pls give me brainless

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

15 ⁵⁴ this is he answer

Step-by-step explanation:

Because

15= ⁶×⁹ = 53

Answer:

A=15^-54 is the answer to the question

The red line and the blue line buses both stop at the football stadium. A red line bus and a blue line bus both left the stadium at 6:00 p.m. red line buses are scheduled to leave the stadium every 6 minutes. blue line buses are scheduled to leave the stadium every 8 minutes. If the buses run on schedule, when is the next time a red line and a blue line bus will leave together?

A.6:24 pm
B6:36 pm
C.6:48 pm
D. 7:00

Answers

Answer:

A - 6:24

Step-by-step explanation:

Look at this graph :
Is this relation a function?

Answers

Step-by-step explanation:

Yes it is a function dearest

Oliver's personal budget includes the items listed in the table.
Expense Item
Amount
isions
Rent
$1,320
$400
Groceries
Utilities
$320
Car Payment
$550
Which of the following fixed expenses should be considered when planning a personal budget?
А
Saving each month for emergencies such as health care or car repairs
B
Saving for a trip to the beach
с
Buying a new cell phone
D
Amount of sales tax for items purchased

Answers

Answer:

t

$1,320

$400

Groceries

Utilities

$320

Car Payment

$550

Which of the following fixed expenses should be considered when planning a personal budget?

А

Saving each month for emergencies such as health care or car repairs

B

Saving for a trip to the be

Step-by-step explanation:

Aubree recorded the grade-level and instrument of everyone in the middle school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar 9
Bass 12
Drums 4
Keyboard 7
Eighth Grade Students
Instrument # of Students
Guitar 12
Bass 14
Drums 5
Keyboard 8

Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than drums as a percent to the nearest whole number.

Answers

Answer:

88%

Step-by-step explanation:

probability of 7th grader playing other instruments apart from drum = total number of students not playing drum / population of the 7th grade class

total number of students not playing drum = 9 + 12 + 7 = 28

population of the 7th grade class = 28 + 4 = 32

28/32 = 0.875

to express in percentage multiply by 1000 = 87.5%

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

88%

9/2= 3/4 (z+2/3) what is z​

Answers

Answer:

z=32/6

.

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.

A baseball player hits a ball towards a 20-foot wall 400 feet away. The path of the ball is modeled by the function, f(x)=-0.002(x-220)^2 +86, where x is the distance of the ball from the batter and f(x) is the height of the ball.

Based upon the function, f(x), what is the maximum height of the ball will reach?

At how many feet from the batter will the ball be at its maximum height?

Will the ball clear the wall?

Answers

a single distinct meaningful element of speech or writing, used with others (or sometimes alone) to form a sentence and typically shown with a space on either side when written or printed.

Please help will give brainliest

Answers

Answer:

D

Step-by-step explanation:

40% = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex] ← in simplest form

Then

[tex]\frac{2}{5}[/tex] of $120 = [tex]\frac{2}{5}[/tex] × $120 = 2 × $24 = $48

she pays $120 - $48 = $72

What changes when the parent function [tex]f(x)=x^2[/tex] is stretched by a positive factor?

Answers

9514 1404 393

Answer:

vertical stretch: the function value (f) is multiplied by the stretch factorhorizontal stretch: the variable (x) is divided by the stretch factor

Step-by-step explanation:

A stretch can be vertical, horizontal, or both.

Multiplying the function value by a factor greater than 1 will stretch the graph vertically.

Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.

__

The graph is stretched by the factor according to how it is applied.

NO LINKSS!! HELPP ME PLS IM TRYING TO GRADUATE PLSS HELP MEE Write the slope-intercept inequality for the graph below. If necessary, use <=
for < or >= for >

Answers

Answer: y=3/4x+4

Step-by-step explanation:

Hiya please leave formulas x

Answers

Answer:

angle c = 107°

angle b = 107°

angle a = 73°

Step-by-step explanation:

Given:

Two line XY and WZ intersect each other and make four angle [a, b, c, d]

Given that Angle d = 73°

Find:

angle a

angle b

angle c

Computation:

We know that angle c and angle d situated on same line XY

So,

angle c + angle d = 180°

angle c + 73° = 180°

angle c = 107°

We know that angle b and angle d situated on same line WZ

So,

angle b + angle d = 180°

angle b + 73° = 180°

angle b = 107°

angle a and angle d are vertical opposite angle

So,

angle a = angle d

angle a = 73°

Move the correct words to the angle.
line segment
ray
endpoint
right angle
obtuse angle

Answers

Answer:

top box: ray

bottom box: endpoint

Step-by-step explanation:

top box: a ray is a line that doesn't stop and that is represented by a arrow on the end of it

bottom box: an end point is where a ray, or line segment stop and since i see two rays that stop there it is an endpoint

A train travels 60 miles in 30 minutes. How long will it take (in minutes) for the train to travel 180 miles?

Answers

Answer:

It will take 90 minutes for the train to travel 180 miles.

Step-by-step explanation:

180 ÷ 60 = 3

3 × 30 = 90

Answer:

90 minutes

Step-by-step explanation:

60+60+60=180

30+30+30=90

Classify the quadrilateral. A. square B. rhombus C. trapezoid D. rectangle also how do you add a picture​

Answers

Answer:

Hello! Your answer would be, A) Square

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

PLEASE HELP!! school is over in a week for me and i have A LOT of work to be done, IM BEGGING!! NO LINKS OR FILES!!!!!

Answers

Answer:

System of equations

160 = 2W + 2L

W = L - 16

Solution to system of equations

W = 32 ft

L = 48 ft

Explanation:

The width is 16 feet less than the length, so the appropriate equation for that is ...

... W = L - 16

Using this expression for W, we can substitute into the equation for perimeter:

... 160 = 2(L - 16) + 2L

... 160 = 4L -32 . . . . . . . collect terms

... 192 = 4L . . . . . . . . . . add 32

... 48 = L . . . . . . . . . . . . divide by 4

... W = 48 -16 = 32 . . . . find W using the relation with L

Length is 48 ft; width is 32 ft.

ive got like 6 more weeks of school left ur so lucky also have a great summer

What is the volume of this prism?

Answers

Answer:24

Step-by-step explanation:

LxWxH = 4x2x3

4x2 = 8

8 x 3 = 24

Tyrone wants a new 53 inch television for his bedroom. He plans to put the TV in a space that is 42 inches wide. Tyrone knows the TV is rectangular and has a height of 28 inches.

Enter True or False: The 53 inch TV will fit in the space_________

The width of the TV is _______inches.

Answers

Answer:

False

Step-by-step explanation:

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