Given: Quadrilateral ABCD is a kite. Prove: ΔAED ≅ ΔCED Kite A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point E. It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see that ED ≅ ED by the property. Therefore, we have that ΔAED ≅ ΔCED by .

Answers

Answer 1

Answer:

1. kite 2. perpendiclular 3. reflective 4. HL

Step-by-step explanation:

I hope this helps :)

Answer 2

Answer:

We know that AD ≅ CD by the definition of kite. By the kite diagonal theorem, AC is perpendicular to BD. This means that angles AED and CED are right angles. We also see that ED ≅ ED by the reflexive property. Therefore, we have that ΔAED ≅ ΔCED by HL.

Step-by-step explanation:

We know that AD ≅ CD by the definition of kite.

- adjacent sides in a kite are congruent

By the kite diagonal theorem, AC is perpendicular to BD.

- the kite diagonal theorem states that diagonals of a kite form right angles because they are perpendicular to each other.

We also see that ED ≅ ED by the reflexive property.

- any side or angle congruent to itself is identified by the reflexive property

Therefore, we have that ΔAED ≅ ΔCED by HL.

- the triangles formed are all right triangles, so we can they that the two triangles are congruent to each other by the Hypotenuse Leg theorem.


Related Questions

What is the equation of the graph below?
А
y = 2(x + 4)2 – 2
B
y = (x – 4)2 – 2
C y = 2(x - 4)2 – 2
D
y = 2(x – 4)2 + 4

Answers

Answer:

f(x) = 1(x - 4)^2 - 2

Step-by-step explanation:

Recall that the vertex form of the equation of a parabola is

f(x) = a(x - h)^2 + k, where (h, k) is the vertex and a is a scale factor which stretches or compresses the graph vertically.

Looking carefully at the graph, we see that h must be 4 and k must be -2.

Thus, the equation of this parabola is f(x) = 1(x - 4)^2 - 2 (which matches Answer B)

Please help . Write 405 in scientific notation 405

Answers

Answer:

4.05 x 10^2

Step-by-step explanation:

Please mark brainiest

and give 5 stars

Thanks

2
A cell phone tower is the
shape of a rectangular
pyramid. The base has
dimensions of 12 ft by 16 ft.
The tower takes up 1152 cubic
feet of space. How many feet
tall is the tower?

Answers

The feet is one hundred inches

42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58

Answers

Answer:

Your answer is D. 58

Step-by-step explanation:

x= [tex]\sqrt{(42^2+40^2)}[/tex]

GIVING BRAINLIEST! What is the slope of the negative graph?


Answers

Answer:
-3/2 is the slope of the negative graph
Hoped this helped have an amazing day!

use the distance formula to find the distance between the two points (-3, 3) and (2, 2) give the exact length (leave in radical form if it is not a perfect square). but please show your work so i can understand. its ok if u cant show ur work tho thank you!

Answers

Answer:

[tex]\sqrt{26}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (2, 2)

d = [tex]\sqrt{(2+3)^2+(2-3)^2}[/tex]

   = [tex]\sqrt{5^2+(-1)^2}[/tex]

   = [tex]\sqrt{25+1}[/tex]

    = [tex]\sqrt{26}[/tex]

Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.

Answers

Answer:

[tex]1\%[/tex]

Step-by-step explanation:

Simple interest (I) = $160

Principal amount (P) = $2000

Time period (t) = 8 months

Let R denotes rate of interest.

Relation between simple interest, principal amount, time and rate of interest  is given by [tex]I=\frac{PRT}{100}[/tex]

[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]

Answer:

12

Step-by-step explanation:

It would be: r = I * 100 / P * R

r = 160.67 * 100 / 2000 * 2/3

r = 16067*3 / 4000

r = 48201 / 4000

r = 12

I have to find the value of x

k so I tried, and honestly I'm not sure what I'm doing wrong but I'm not sure how to solve it. If anyone could help that would be lovely :') thank youu​

Answers

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

The formula for volume of this rectangular prism is:
V=2x(exponent is 3) +17x (exponent is 2) +46x

Answers

The answer for you question is 343

Draw a parallel line to line PQ, Start the line with point R

Answers

Answer:It’s a long triangle

^^^^^^^^^^^^^^^^^^^^^^^^^^

Answer:Howwwwwwww!!!!!!.”?.?....?.??.??.

Box the greatest decimal and encircle the least decimal in each number.

1. 3.49 3.498 3.149 3.4

2. 333.5 333.56 33.356 3.987

3. 8.047 80.47 804.7 0.8047

4. 700.08 700.088 700.008

5. 0.123 0.457 0.127 0.0678​

Answers

Answer:

From greatest to least

1) 3.498 3.49 3.4 3.149

2) 333.56 333.5 33.356 3.987

3) 804.7 80.47 8.047 0.8047

4) 700.088 700.08 700.008

5) 0.457 0.127 0.123 0.0678

Step-by-step explanation:

Explaining just 1st and 4th

1.

The number 3.498 is bigger than 3.49 because it's basically this number 3.490

The same thing happens in 2nd and 3rd number 3.49 > 3.40

And the last number I think I don't have to explain :-)

4.

700.088 is bigger because 700.08 is smaller

700.080

If you have any questions contact me on amino Ayleena

find the measure of angle STP

Answers

x=7
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7

Deborah bought a computer for 25% off the list price.
Deborah bought a computer for 25% off the list price.

Answers

Answer:

how much was the computer or smth i need more information

Step-by-step explanation:

What’s the Awnser my dudes and dudetts

Answers

What’s the question?

Answer: What do you want us to solve there is no photo and you didn't write any problem

Step-by-step explanation:

Planet Fitness gym charges $15 per month plus $50 for a membership. Total
Fitness gym charges $25 per month and no membership fee. After how many months
would the total cost be the same for both gyms?

Answers

Answer:

planet fitness will take one month and total fitness will take 3 months

Step-by-step explanation:

planet fitness:

75

total fitness:

25

50

75

Plz help.............

Answers

75 ft^2 mark brainly pls xo

Answer:

75 ft

Step-by-step explanation:

10 * 6 = 60

1/2 * 6 * 5 = 15

60 + 15 = 75 ft

The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.

what can you conclude about the rain and the students commute on the bus and train?​

Answers

Let A= probability it rains
P(A)=0.2
Let B be the probability that the train is late = 0.05
P(B)=0.05
A and B is A∩B= the probability it rains and the bus is late =0.01
probability pf (A and B)=0.01
7) independent events are related by expression:
A∩B=P(A)*P(B)
=0.2*0.05=0.01
check :
p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2
the two event are independent

A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?

Answers

Answer:

A. 2a+6

Step-by-step explanation:

I did the test and this is what I got.

Permutations
How many different six-letter words can be formed from the word SCHOOL?

Answers

Answer:

Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil

Explicacion:listo :)

I don’t know how to do these I need help

Answers

k = 15 is the answer!!!!!!

1. What is the circumference of a tire with a diameter of 12 inches?

A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?

A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?

A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?

A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?

A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?

A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?

Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?

A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?

A18
B4.5
C27
D54
10. Which is true about the radius and diameter?

AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.

Answers

Answer:

1) A. 36

2) A. 10

3) B. 72

4) B. 42

5) A. 6

6) B. 90

7) C. less than

8) A. 22

9) D. 54

10) B. The diameter is two times the size of the radius.

Step-by-step explanation:

1) 12 x 3.14 = 36

2) 20/2 = 10

3) 12 x 2 x 3.14 = 72

4) 7 x 2 x 3.14 = 42

5) 36/3.14 = 12/2 = 6

6) 30 x 3.14 - 90

8) 11 x 2  =22

9) 9 x 2 x 3.14 = 54

If the scale factor is 5/3 what is the width of the new rectangle?

Answers

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

It would be very nice if you could evaluate the expression for ya homie


-63/(-7)+6

Answers

Answer: =15

Step-by-step explanation: Hope this help :)

-63/-7+6

=63/7+6/1

=9/1+6/1

=9+6/1

=15

Plz help i will give

Answers

Answer:

The equation to be used is 4/8 × 8/12=1/3

Is 9 a solution of the inequality 20 − f < 11?

Answers

Answer:

no

Step-by-step explanation:

f = 9

20 - 9 = 11

11 < 11 is incorrect

The helicopter can travel 75 miles per hour. How many miles per minute can the helicopter travel?

Answers

Answer:

4.69 miles per minute

Step-by-step explanation:

75 ÷ 60 (60 minutes in an hour) = 4.6875

4.6875 rounded to the nearest hundredth is 4.69

PLEASE HELP! WILL GIVE BRAINLIST!

Jimmy wants to keep track of a friends college savings account and use slope intercept form to build a function, y = mx + b. What information will he need to know to accurately keep track of the account and create a function that will give the number of dollars in the account based on the number of months his friend will save money for college?

A. The initial amount of money use to start the account, and use that deposit for B

B. All of the above

C. The amount of money he will save each month, and use that for slips or m

D. The amount of months he will save money for a college, and use that amount of time for x

Answers

Answer: here is all the answers for assess it #70: day 122

1. F(x) = 225x + 45

2. F (x)= 7x - 105

3. the function would be a curved line if you were to graph it using intercepts or a simple function table

4. The x-intercept is (10,0)

5. All of the above

Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey​

Answers

Answer:

hmm

Step-by-step explanation:

Hmmmmmmmmmmmmmmmmmm

Write an expression equivalent to 6 − 2 + 5 + 4 that only has two terms. PLS HELP

Answers

Answer:

15 - 2

Step-by-step explanation:

hope this helps :)

Answer:

4 + 9 should be the answer

Step-by-step explanation:

What is the surface area for the figure? PLEASE HELP

Answers

Answer:

516 cm squared

Step-by-step explanation:

To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.

How do we do it?

Calculate each face of the prism by multiplying Length x Width.Make a shortcut by combining like-figures (front of the cube and back of the cube are the same surface areas, etc.)Make your formula

2(4 · 15) + 2(10 · 15) + 2(12 · 4)

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