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

A new car is purchased for 23700 dollars. The value of the car depreciates at 13% per
year. To the nearest year, how long will it be until the value of the car is 8000 dollars?

Answers

Answer:

the car will be closest to 8000 in year 8. the car would be worth 7778.

Answer:

Year 5

Step-by-step explanation:

If the value decreases by 13% each year that is $3,081 each year (0.13x23,700=3,081)

Year 1: 23700-3081=20619

Year 2: 20619-3081=17538

Year 3: 17538-3081=14457

Year 4: 14457-3081=11376

Year 5: 11376-3081=8295

Year 6: 8295-3081=5214

So, the year would be year 5 and the value of the car would be $8,295

A car travles at a speed of 44mph for 15 minutes. Calculate how far it travles.

Answers

Answer:

11 miles

Step-by-step explanation:

Answer:

11 m

Step-by-step explanation:

Speed = 44 mph

Time = 15 minutes = 15/60 = 1/4 hour

Distance = Speed * time

              = 44 * [tex]\frac{1}{4}[/tex]

             = 11 m

Divide 144g in the ratio 7: 11​

Answers

Answer:

88:56 = 11:7

Step-by-step explanation:

Step One

Add the two ratios together 11 + 7 = 18

Now set up a ratio to solve for 11 parts out of 18

11:18 = x:144         Proportion

11 / 18 = x / 144    Equation: Cross mulitiply

11*144 = 18x         Combine the left side

1584   = 18x         Divide by 18

1584 / 18  = x

88 = x

That is the larger amount (11 is larger than 7)

Find the smaller amount

144 - 88 = 56

The two amounts are in the ratio of 11:7

88:56 = 11:7  

I hopes this helps a little  bit

Answer:

56g and 88g

Step-by-step explanation:

7x+11x=144

18x=144

x=144/18

x=8

7x=7*8=56g

11x=11*8=88g

(b) A farmer uses of his land to plant
cassava, of the remaining land to plant
maize and the rest vegetables. If
vegetables cover an area of 10 arces, what
is the total area of the farmer's land.​

Answers

Answer:

Cassava = ⅓ or 33.333%

Maize = ⅔x⅔ = 44.444%

total so far =77.777%

Remaining vegetable area =(100–77.777%) = 22.222%

If remaining area vegetables = 22.222% = 10 acres

Maize = ⅔x⅔ = 44.444% or 20 acres

Cassava = ⅓ or 33.333% or 15 acres

Total land area = 45 acres.

Step-by-step explanation:

In a shipment of 400 parts, 14 are found to be defective. How many defective parts should be expected in a shipment of 1200?

Answers

1200 parts/ 400 parts = 3

12 parts x 3 = 36 parts

In 1200 parts, 36 would be bad.

I have to find the area of this rectangular prism pls help!!

Answers

Answer:

the surface area is 208

Step-by-step explanation:

formula for surface area is A = 2 (w*l + h*l + h*w )

A = 2 ( 4*8 + 6*8 + 6*4 )

A = 2 ( 32 + 48 + 24 )

A = 2 ( 104 )

A = 208

Tony took out a loan for 7000 that has a intrest rate of 7.5% compounded annually after 15 years how much will the total loan amount be After 15 years how much will tony pay in intrest

Answers

Answer:

$7875

Step-by-step explanation:

Interest is calculated by the formula: I = Prt

I (interest)

P (principle)

r (rate)

t (time)

Substitute

I = (7000)(0.075)(15)

I = 7875

Thus, our interest is $7875


[tex](5 - x)(x - 3)[/tex]

Answers

Answer:

15x

Step-by-step explanation:

because i multiply i side by side and copy the variable

Answer:

- x² + 8x - 15

Step-by-step explanation:

Given

(5 - x)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

5(x - 3) - x(x - 3) ← distribute parenthesis

= 5x - 15 - x² + 3x ← collect like terms

= - x² + 8x - 15 ← in standard form

The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number Cube 1 2 3 4 5 6 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 4 5 What is the probability of rolling an even number first and an odd number second?
Answer choices:
A. 1/9,
B. 1/6
C. 1/4
D.1/2​

Answers

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

Use the distributive property to write an equivalent expression. 7(g+2h)

Answers

Answer:

7g+14h

Step-by-step explanation:

Distributive property means you will be multiplying each component by the value you are distributing in this case (7)(g)+(7)(2h) which yields 7g+14h

solve this problem please

Answers

Answer:

Check pdf

Step-by-step explanation:

which of the following functions is graphed below?​

Answers

You need to show the rest of the functions

1.) What is the equation given a slope of ½ and a y-intercept of 4?

2.) What is the slope of an equation y=2x-5

3.) What is the y-intercept of an equation y=7x+8?​

Answers

1) y=1/2x+4
2) slope is 2
3) 8

4. Find the value of x.
A) 6 √ 2
B) 12 √ 3
C) 24 √ 3
D) 12

Answers

a^2+b^2=c^2
24^2=12^2+x^2
sqrt(576-144)=x
sqrt(432)=x
12sqrt(3)=x
the answer is c
24\3...........................

Write a number with one decimal place, that is bigger than 5 1/3
but smaller than 5.5​

Answers

Answer:

5.4......................

Answer:

5.4

Just say i did the question on MathsWatch

9) When you convert units, the unit in the
numerator of the first fraction needs to go
into the of the second fraction,
(A) denominator B) numerator

Answers

the answer is (a) denominator

does anyone know how to solve this? pls leave instructions

Answers

Answer:

7.5

Step-by-step explanation:

please help im struggling and it’s due in 30 minutes

Answers

i know this is not an answer but if your having trouble with this there is a website called Desmos all you do is type in the equation for the graph and it gives you the answer

Solve the equation and check the solution.
1 1
O a=1
1
O a = 3
2
O a=4
o
1
a = = 4
2

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}[/tex]

[tex]\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}[/tex]

[tex]\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}[/tex]

[tex]\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}[/tex]

[tex]\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}[/tex]

[tex]\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}[/tex]

[tex]\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}[/tex]

[tex]\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}[/tex]

[tex]\mathsf{\dfrac{3+5}{2\ \& \ 2}}[/tex]

[tex]\mathsf{3 + 5 = 8}[/tex]

[tex]\mathsf{2\ \& \ 2=2}[/tex]

[tex]\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}[/tex]

[tex]\large\text{Simplify above and you have the \bf a value}\uparrow[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

plzz help with this math due today

Answers

Answer:

20x⁴ - 13x³+ 8x² - x + 6

Step-by-step explanation:

Multiplyin gbthebtop trinomial by the last term. Of the bottom trinomial.

___4x² - 5x + 3

___5x² + 3x + 2

* ____________

_________8x² - 10x + 6

______12x³-15x²+9x

_20x⁴-25x³+15x²

____________________

20x⁴ - 13x³+ 8x² - x + 6

___________________

HELP PLEASEE PLEASE PLEASE!! It’s due by 10:20 !!

A cone has a height that is greater than the diameter of the base of the cone.
What is the shape of a cross section of the cone that contains the vertex of the cone and the diameter of the base?
А
right triangle
B.
obtuse triangle
С
scalene triangle
D
isosceles triangle

Answers

Answer:

its either b or d

What is the sum of the measures of the interior angles of any triangle?
100°
180°
270°
360°

Answers

I think the answer is 180

Answer:

180°

Step-by-step explanation:

E D G E N U I T Y

Hope this helped! :)

Stay safe and have a wonderful day/night!!!!!

Please give Brainliest to the person who answered before me.

A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle
travel in 5 revolutions?
Use n = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:The unicycle would travel 226.29 inches in 6 revolutions.

Step-by-step explanation:

que es un plano cartesiano?

Answers

Answer: Un sistema de coordenadas cartesianas en un plano es un sistema de coordenadas que especifica cada punto de forma única mediante un par de coordenadas numéricas, que son las distancias con signo al punto desde dos líneas fijas orientadas perpendiculares, medidas en la misma unidad de longitud. Step-by-step explanation:

I have a math test in an hour and a half. It’s about algebraic word problems. Can someone help me. I’m really struggling in maths and might fail

Answers

Answer:

yes I can try to help you what I can

Algebraic Expressions Word Problems -
WORD PROBLEMS require practice in translating verbal language into algebraic language. See Lesson 1, Problem 8. Yet, word problems fall into distinct types. Below are some examples.
Example 1. ax ± b = c. All problems like the following lead eventually to an equation in that simple form.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
Solution. Every word problem has an unknown number. In this problem, it is the price of the blouse. Always let x represent the unknown number. That is, let x answer the question.
Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x.
Here is the equation:
2x − 14 = 42.

2x = 42 + 14 (Lesson 9)

= 56.

x = 56
2

= 28.
The blouse cost $28.
Example 2. There are b boys in the class. This is three more than four times the number of girls. How many girls are in the class?
Solution. Again, let x represent the unknown number that you are asked to find: Let x be the number of girls.
(Although b is not known -- it is an arbitrary constant -- it is not what you are asked to find.)
The problem states that "This" -- b -- is three more than four times x:
4x + 3 = b.
Therefore,
4x = b − 3

x = b − 3
4 .
The solution here is not a number, because it will depend on the value of b. This is a type of "literal" equation, which is very common in algebra.
Example 3. The whole is equal to the sum of the parts.
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Solution. In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.
We are told that the other number is 12 more, x + 12.
The problem states that their sum is 84:
word problem = 84
The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.
We have:
2x = 84 − 12

= 72.

x = 72
2

= 36.
This is the first number. Therefore the other number is
x + 12 = 36 + 12 = 48.
The sum of 36 + 48 is 84.
Example 4. The sum of two consecutive numbers is 37. What are they?
Solution. Two consecutive numbers are like 8 and 9, or 51 and 52.
Let x, then, be the first number. Then the number after it is x + 1.
The problem states that their sum is 37:
word problem = 37
2x = 37 − 1

= 36.

x = 36
2

= 18.
The two numbers are 18 and 19.
Example 5. One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
Solution. Let x be the smaller number.
Then the larger number is 10 more: x + 10.
The problem states:
2x + 3(x + 10) = 55.
That implies
2x + 3x + 30 = 55. Lesson 14.

5x = 55 − 30 = 25.

x = 5.
That's the smaller number. The larger number is 10 more: 15.

COLOR THEME Q ZOOM 1. The ratio of boys to girls at a dance was 9 to 5. How many girls were at the dance if there were 72 boys at the dance? 45 girls 90 girls 40 girls 108 girls​

Answers

Answer:

72 boys=72:40

45 girls=81:45

90 girls=162:90

40 girls=72:40

etc.

Step-by-step explanation:

think of it as fractions

nat is flying a kit outside but gets a little hungry. they anchor the kite to the ground by tying a string to a post and notice that 200 yards of the string have been let out. the kite string makes an angle of 57 degrees with the ground. while nat eats a snack, they look at the kite and wonder how high it is off the ground.

Answers

Answer:

Check pdf

Step-by-step explanation:

1.5+4=2.3−1.2 in decimal form

Answers

Answer:

5.5=1.1

Step-by-step explanation:

hope this helps:)

hi hi hi hi it’s b right?

Answers

Answer:B

Step-by-step explanation: yes b as the x is always 50x greater than the Y

Answer: yes it’s B. My dear!

Step-by-step explanation: hope this helps :)

The original cost of a pair of shoes is 850dhs. The store offers a markup of 30%. Find the retail price of pair of shoes.

Answers

Answer:

Step-by-step explanation:

Other Questions
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