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 linguist at a large university was studying the word length of papers submitted by students en
humanities programs. From a random sample of 25 papers, the linguist counted the number of words
used in each paper. The 95 percent confidence interval was calculated to be (20,995, 22,905).
Assuming all conditions for inference are met, which of the following is a correct interpretation of the
interval?

Answers

Answer:

We are 95 percent confident that the mean word length for all papers submitted by students in humanities programs is between 20,995 words and 22,905 words

Step-by-step explanation:

The confidence interval is used to predict the mean for the entire humanities program, not just the sample.

Which rectangle has an area of 40 square units?

Answers

Answer:D

Step-by-step explanation:

multiply the squares together to find the answer of 40

Answer: A :)

Step-by-step explanation:

how many solutions does 8x + 7 = 8x + 7 have

Answers

Answer:

infinetly many solutions

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

Since they are the same x can be any number. Making the solution all real numbers.

Last year at RT University, the ratio of the number of
students accepted to the number of students applying
for admission was 2 to 7. RT University accepted
630 students last year. How many students applied to
RT University last year?
A. 810
B. 1,260
C. 2,205
D. 2,835
E. 4,410



Answers

answer is C. 2,205 no explanation

Somebody help me ASAP noww

Answers

Answer:

65

Step-by-step explanation:

That is a 180 split so 180-115=65

12/7 – 15/7 + 10/7 = ?

Answers

Answer:

The answer is 1

Step-by-step explanation

Have a great day!!!

Use the graph below to solve the equation. (Find the solutions or the roots)

Answers

Answer: I see a dot so -2,-2?

Step-by-step explanation:

what is 2345678900098765445678 times 23456788853456 have to answer unless you are her

Answers

Answer:

[tex]5.50220947[/tex] × [tex]10^{34}[/tex]

Step-by-step explanation:

Mark as Brainliest

Please help.
Name the segments parallel to the given segment :/

Answers

RS||XZ
XY||TS

RS is Parallel to XZ
XY is Parallel to TS

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)

4. What expression represents the width of the room?

Answers

Answer:

35-4

Step-by-step explanation:

Answer:

Let x = represents the width

m.

Step-by-step explanation:

hope that helps -w-

Is 5 a solution to 4 + x = 6 ? Why or why not?

Answers

Answer:

no

Step-by-step explanation:

x has to be 2 because 4+2=6

Answer:

no, because 4 + 5 = 9 not 6.

Step-by-step explanation:

the only way for this equation to be true is if x = 2.

Kathryn bought a magazine for $5 and eight erasers. She spent a total of $45. How much did each eraser cost?

Answers

The answer to your question is 17

-89 ⋅ 12 = c
a ⋅ 3 = -30
-9 ⋅ b = 45
plz help :))

Answers

Hopes this helps:

1. C= -1068
2. A= -10
3. B= -5

Write an equation of the line with the given​ slope, m, and​ y-intercept (0,b).
The equation is ______ m=0, b =-5
3.
​(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer:?

Step-by-step explanation:

Answer:

ur bad

Step-by-step explanation:

3+-7+-4 what is the answer

Answers

Answer:

-8

Step-by-step explanation:

3+-7=-4

-4+-4=-8

No spanis

Bueno espero que te sirva sino es esa Aplica la ley de los signos :v

A store is having a 20% off sale. You purchase a pair of bluetooth
headphones for $75. What was the original price?

Answers

Answer:

60 dollars

Step-by-step explanation:

well it's simple

Answer:

($75)(0.20)=     then add that answer to 75

Step-by-step explanation:

Find the area of the blue shaded figure.
25 mm
120 mm
I’m begging atp. Please help me

Answers

area of blue shaded figure = area of big circle minus small circle

radius of big circle = 60mm

area of big circle= πr² = check pic

A company has to make a large number of boxes.
The company has 8 machines.
All the machines work at the same rate.
When all the machines are working, they can make all the boxes in 9 days.
The table gives the number of machines working each day.
day 1
day 2
day 3
all other days
Number of machines working
4
5
7
8
Work out the total number of days taken to make all the boxes.
Your final line must say, It takes ... days to make all the boxes

Answers

Answer:

It takes 10 days to make all the boxes

Step-by-step explanation:

9*8=72

72-(4+5+7)=56

56/8=7

7+3=10

It takes 10 days to make all the boxes

down?
=) List five points where the y-coordinate is
the opposite integer of the x-coordinate.
Plot your points on

Answers

Answer:

try to ask ur fam if they dont help try to do sum else

Step-by-step explanation:

Which of the following could be the interpretation of the distance vs time graph shown?
Which of these answers this Question, Is It 1, 2, or 3 that's in parentheses???


( 1.) A biker takes off on a course that begins with a small ramp. The biker bikes up a hill and across a flat portion of the course before heading down a steep descent.

( 2.) A driver leaver her house and slows down to make a stop at her neighbor's house. She then drives at a constant speed and stops at a house further down the street. After visiting with her neighbor, she quickly drives back home.

( 3.) A hiker begins hiking, but shortly after realized he left his water bottle in his car. He turns around to get his water bottle and then starts hiking again at a constant rate. The hiker stops for lunch at the furthest point of his hike and then hikes back at a quicker constant rate.

Answers

The slope of the curve is positive between the times t=0\text{ s}t=0 st, equals, 0, start a text, space, s, end text, and t=2 \text{ s}t=2 st, equals, 2, start a text, space, s, end text since the slope is directed upward. This means the acceleration is positive.

The slope of the curve is negative between t=2 \text{ s}t=2 st, equals, 2, start a text, space, s, end text, and t=8 \text{ s}t=8 st, equals, 8, start a text, space, s, end text since the slope is directed downward. This means the acceleration is negative.

At t=2\text{ s}t=2 st, equals, 2, start a text, space, s, end text, the slope is zero since the tangent line is horizontal. This means the acceleration is zero at that moment.

Concept check: Is the object whose motion is described by the graph above speeding up or slowing down at time t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text?

[Show me the answer.]

What does the area under a velocity graph represent?

The area under a velocity graph represents the displacement of the object. To see why to consider the following graph of motion that shows an object maintaining a constant velocity of 6 meters per second for a time of 5 seconds.

To find the displacement during this time interval, we could use this formula

\Delta x=v\Delta t=(6\text{ m/s})(5\text{ s})=30\text{ m}Δx=vΔt=(6 m/s)(5 s)=30 mdelta, x, equals, v, delta, t, equals, left parenthesis, 6, start text, space, m, slash, s, end text, right parenthesis, left parenthesis, 5, start text, space, s, end text, right parenthesis, equals, 30, start text, space, m, end text

which gives a displacement of 30\text{ m}30 m30, start text, space, m, end text.

Now we're going to show that this was equivalent to finding the area under the curve. Consider the rectangle of the area made by the graph as seen below.

The area of this rectangle can be found by multiplying the height of the rectangle, 6 m/s, times its width, 5 s, which would give

\text{ area}=\text{height} \times \text{width} = 6\text{ m/s} \times 5\text{ s}=30\text{ m} area=height×width=6 m/s×5 s=30 mstart text, space, a, r, e, a, end text, equals, start text, h, e, i, g, h, t, end text, times, start text, w, i, d, t, h, end text, equals, 6, start text, space, m, slash, s, end text, times, 5, start text, space, s, end text, equals, 30, start text, space, m, end text

This is the same answer we got before for the displacement. The area under a velocity curve, regardless of the shape, will equal the displacement during that time interval. [Why is this still true when velocity isn't constant?]

\text{area under curve}=\text{displacement}area under curve=displacementstart text, a, r, e, a, space, u, n, d, e, r, space, c, u, r, v, e, end text, equals, start text, d, i, s, p, l, a, c, e, m, e, n, t, end text

[Wait, aren't areas always positive? What if the curve lies below the time axis?]

What do solved examples involving velocity vs. time graphs look like?

Example 1: Windsurfing speed change

A windsurfer is traveling along a straight line, and her motion is given by the velocity graph below.

Select all of the following statements that are true about the speed and acceleration of the windsurfer.

(A) Speed is increasing.

(B) Acceleration is increasing.

(C) Speed is decreasing.

(D) Acceleration is decreasing.

Options A, speed increasing, and D, acceleration decreasing, are both true.

The slope of a velocity graph is the acceleration. Since the slope of the curve is decreasing and becoming less steep this means that the acceleration is also decreasing.

It might seem counterintuitive, but the windsurfer is speeding up for this entire graph. The value of the graph, which represents the velocity, is increasing for the entire motion shown, but the amount of increase per second is getting smaller. For the first 4.5 seconds, the speed increased from 0 m/s to about 5 m/s, but for the second 4.5 seconds, the speed increased from 5 m/s to only about 7 m/s.

Example 2: Go-kart acceleration

The motion of a go-kart is shown by the velocity vs. time graph below.

A. What was the acceleration of the go-kart at time t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text?

B. What was the displacement of the go-kart between t=0\text{ s}t=0 st, equals, 0, start text, space, s, end text and t=7\text{ s}t=7 st, equals, 7, start text, space, s, end text?

A. Finding the acceleration of the go-kart at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text

We can find the acceleration at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text by finding the slope of the velocity graph at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text.

\text{slope}=\dfrac{\text{rise}}{\text{run}}slope=  

run

PLEASE HELLPP!!!!! Don’t know what it is

Answers

Answer:

I think of having straight line


What is the effect of the 3 when y = x² is changed to y = (x – 3)??

Answers

Answer:

3 makes the graph move down 3 units.

Step-by-step explanation:

This is because you are subtracting 3 inside the parentheses. Inside the parentheses are up down changes and outside is left right changes.

Solve t/12=4.

The solution is t=

Answers

T=48

You just need to find out how many times 12 goes into a number, 4 times.

Which is 48 because 12x4 is 48 and you can check your answer by dividing 48/12=4

Answer:

T = 48

Step-by-step explanation:

multiply both sides by 12 to isolate t

t/12(12) = 4(12)

t = 48

1) The region enclosed by the x-axis, the line x=3 and the curve y = sq. Rt x is rotated about the x-axis. What is the volume of the solid generated? *

Answers

Using the disk method, the volume would be

[tex]\displaystyle \pi \int_0^3 (\sqrt x)^2 \,\mathrm dx=\pi \int_0^3 x\,\mathrm dx=\frac\pi2 x^2\bigg|_0^3=\boxed{\frac{9\pi}2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral.

In this exercise we have to use the knowledge of the integral to calculate the volume of the disk that will correspond to:

[tex]V= \frac{9\pi }{2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral. Using the disk method, the volume would be:

[tex]\pi \int\limits^3_0 {(\sqrt{x})^2} \, dx = \pi \int\limits^3_0 {x} \, dx = \frac{\pi x^2}{2} = \frac{9 \pi }{2}[/tex]

See more about volume at brainly.com/question/1578538

in the sale a price of a shirt is decrease by £3 what was the original price of the shirt​

Answers

Answer:

Step-by-step explanation:

Let the price of the shirt after discount = y

Reduction = £3

Original price= y + 3

Solve each equation. 15 = t - 25 m6 = 18 5d = 75 94 = g + 32

Answers

Answer:

1, t = 40

2, m = 3

3, d = 15

4, g = 62

Step-by-step explanation:

15 = t - 25

+25.     +25

40 = t

M6/6 = 18/6

m = 3

5d/5 = 75/5

d = 15

94 = g + 32

-32.      -32

62 = g

4,6,9, ...
Find the 8th term.

Answers

Answer:

39

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

the answer is going up by the numbers 1,2,3,4...

you start with 4 and go up by 2

you then get 6 that's when you count up 3

you get 9 and then count up 4

which is 13 count up 5

18 count up 6

24 count up 7

31 count up 8

39

If we give the cashier a $20 bill for a shirt that costs $22.95, how much more do we owe the cashier?

Answers

Answer:

$2.95

Step-by-step explanation:

$22.95-$20

we owe the cashier $2.95

explanation:
20 - 22.95 = -2.95

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

i'd say it's "a" cause if I solve it for Zero I get x= 3, - 4 so x must bi bigger or equal 3

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