Proving the Parallelogram Diagram Theorem
Given: ABCD is a Parallelogram. Diagonals AC,BD intersect at E.
Prove AE = CE and BE =DE
THE AWNSWERS ARE IN THE PICTURE FROM 4 DOWN SOME POSTED A PICTURE WITH THE 4 UP HERE TO HELP :)​

Proving The Parallelogram Diagram Theorem Given: ABCD Is A Parallelogram. Diagonals AC,BD Intersect At

Answers

Answer 1

Answer:

Did you learn about equal rectangles? we can prove AEB and CED are equal, which results in what we need to prove here

Answer 2

AE = CE and BE = DE. This can be proved with the help of the properties of congruent triangles.

What is a parallelogram?

'A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.'

According to the given problem,

ABCD is a parallelogram.

We know,

BC ║ AD and BC ≅ AD

From, the properties of a parallelogram,

∠CBD = ∠ADB

∠BCA = ∠DAC

We know, two lines are parallel and alternate interior angles of the parallelogram are equal.

Also, Δ BEC ≅ ΔAED (Angle-Side-Angle)

Therefore, AE ≅ CE ( The properties of congruent triangles )

                  BE ≅ DE ( The properties of congruent triangles )

Hence, we can conclude, in the parallelogram ABCD, AE = CE and BE = DE from the properties of congruent triangles.

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Related Questions

what are all the factors of 32?

Answers

The factors of 32 are / 1, 2, 4, 8, 16, and 32.

Fred has $200. He wants to purchase a gym bag for $26 and as many pair of shoes as he can. Each pair of shoes is $45. What is the maximum number of pairs of shoes he can
purchase in addition to the gym bag?

Answers

Answer:

3 shoes

Step-by-step explanation:

You can set up an equation to solve this question like this:

200=45s+26

174=45s

174/45=s

s=3.867

You can't have a part of a shoe, so you have to round down to get 3 shoes

Answer:

3

Step-by-step explanation:

In order to get the answer to this question you subtract in till you can no longer subtract after subtracting the cost of the bag.

What we do know:

[tex]M=200[/tex]

[tex]B=26[/tex]

[tex]S=45[/tex]

[tex]200-26=174[/tex]

[tex]174-45=129[/tex]

[tex]129-45=84[/tex]

[tex]84-45=39[/tex]

[tex]S=3[/tex]

Hope this helps

Xavier has a lunch food budget of $120 a month. He spends an average of $6 per day on lunch. Create a table and then a graph to represent the relationship. Then write an equation
where d represents the number of days and m represents that amount of money he had left.

Answers

Answer:

m= 120 - 6*d

Step-by-step explanation:

budget is $120 per 1 month, spends $6 per 1 day

on the the table you have 2 columns: one labele it "days" and one "$ spent" and fill it in:  

days: 1,2,3,4,..

$ spent: 6, 6*2=12, 6*3= 18, 6*4= 32,...

on the graph lable the horizontal axis "days" and the vertical axis "$ spent"

now plot the points (1,6), (2,12),(3,18), ..., and draw a line trough them

the equation is

m= 120 - 6*d

so after 20 days for example, out of 120 will have m=120-6*20=120-120=0,

$0 wil have in 20 days

Which three lengths could be used to form a right triangle?
15, 15, 48
19, 36, 57
51, 68, 85
7, 10, 14

Answers

Answer:

7, 10, 14 would be the answer

7,10, and 14 should be the answer I believe

Answer all questions thoroughly, pls!!

1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.

Answers

1.You can recognize exponential and linear function by their graph.Linear functions are straights while exponential functions are curved lines.You can also recognize them by the change in your.If the same number is being added to y,then the function has a constant change and is linear.3:-An example of a exponential function is the growth of bacteria and A common equation,y=mx+b y=mx+b,(namely the slope-intercept form,which we will learn more about later)is a example of a linear function.2:-For constant increments in x,a linear growth would increase by a constant difference,and an experimental growth would increase by a constant ratio.

brainlest!!!!!!!!! please help me
all the choices are the same
please help thx!!!!!

Answers

Answer:

Graph 1- last option choice

Graph 2- first option choice

Graph 3- third option choice

Graph 4- second option choice

Hope this helps stay safe!

Step-by-step explanation:

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".

Answer:

1. x < 1

2. x </= 1

3. x >/= - 1

4. x > 1

Andreas drew the model below to represent the equation 20 + 10 = blank x (4 + 2).

A model with 5 rows of 4 and 5 rows of 2.

What is the missing value in Andreas’s equation?
2
4
5
6

Answers

Answer:

It's C.

Step-by-step explanation:

If you get both of them you can get the real answer

Answer:

its 5

Step-by-step explanation:

because  4+2=6 divide 30 by 6 and that will give you 5  

hey im new , who can show me how to use this ,thanks

Answers

Answer:

Sure, if u want to ask a question click question, however you need to answer questions to recieve points in order for you to ask questions. So answers some questions then you can ask  

Step-by-step explanation:

What is the slope in the linear equation y= -3x +7?​

Answers

Answer:

-3

Step-by-step explanation:

the coefficient of the x term is the slope in any equation that is in slope intercept form

Answer:

-3 is the slope

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -3x+7

-3 is the slope and 7 is the y intercept

. Are the expressions 3(m - 2) + 2(m - 2) and 5(m - 2) equivalent expressions?

Answers

3m - 6 + 2m -4 comblike like terms you get 5m - 10

Then

Factor it you get 5(m -2) so yes the expressions are equivalent

3 10/15 - 1 12/15
please help I will give you Brainlyest

Answers

Answer:

as a mixed number it will be 1 13/15

but in exact form it will be 28/15

Step-by-step explanation:

hope this helped.. :)

[tex]1\frac{13}{15}[/tex] is the solution for [tex]3\frac{10}{15}[/tex] - [tex]1\frac{12}{15}[/tex]

What is Fraction?

Fractions represent the parts of a whole or collection of objects.

The given expression is

[tex]3\frac{10}{15}[/tex] - [tex]1\frac{12}{15}[/tex]

Firstly we need to convert this mixed fraction to improper fraction.

Improper fractions are fractions whose numerator is greater than denominator.

((15×3)+10)/15 -  ((15×1)+12)/15

(45+10)/15 - (15+12)/15

55/15-27/15

15 is the LCM

(55-27)/15

28/15

Now we convert this to improper fraction

[tex]1\frac{13}{15}[/tex]

Hence [tex]1\frac{13}{15}[/tex] is the solution for [tex]3\frac{10}{15}[/tex] - [tex]1\frac{12}{15}[/tex].

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h+ j(j – h); use h = 2, and j = 6

Answers

Answer: 32

2+6(6-2)

8(4)

32

Sara used a number line to add. She started counting at 10, and then she counted until she
was over the number -4 on the number line. If Sara is modeling addition, what number did
she have to add to 10?

Answers

Answer:

-14

Step-by-step explanation:

-14 I think that’s it but not sure

Estimate the answers to these calculations (167.8 x 24) /38

Answers

Answer:

105.978947368

Step-by-step explanation:

pretty please help me with my geometry work, thank you :)

Answers

Answer:

9. MP = 49

10. VT = 62

Step-by-step explanation:

#9

∵ In the rhombus, all the sides are equal in length

∵ MNOP is a rhombus

MN = NO = OP = PM

∵ MN = 9x - 77

∵ OP = 3x + 7

→ Equate them to find x

9x - 77 = 3x + 7

→ Add 77 to both sides

∴ 9x = 3x + 84

→ Subtract 3x from both sides

∴ 6x = 84

→ Divide both sides by 6

x = 14

→ Substitute the value of x in the expression of OP to find its length

∵ OP = 3(14) + 7 = 42 + 7

OP = 49

∵ All the sides are equal in length

MP = 49

--------------------------------------------------------------------------------------------------------

#10

∵ The diagonals of the square bisect each other

∵ STUV is a square

∵ SU and TV are its diagonals

∴ W is the mid-point of SU and TV

SW = WU

∵ SW = 2x + 13

∵ WU = 8x - 41

→ Equate them to find x

8x - 41 = 2x + 13

→ Add 41 to both sides

∴ 8x = 2x + 54

→ Subtract 2x from both sides

∴ 6x = 54

→ Divide both sides by 6

x = 9

→ Substitute x in the expression of SW to find it

∵ SW = 2(9) + 13 = 18 + 13

SW = 31

∵ SU = SW + WU

∵ SW = WU

SU = 31 + 31 = 62

∵ Diagonals of the square are equal in length

SU = VT

VT = 62

help me with this plzz i need answer asap

Answers

Answer:

oof this is easy

Step-by-step explanation:

Straight angles consists with

two right angles

2

Straight angles consists with

one obtuse angle and one acute angle

RESULT

My friend is wrong because a straight angle either consists with two right angles or one obtuse angle and one acute angle.

The gravity coaster travels 340 meters in 10 seconds. The hurricane coater travels 190 meters in 5 seconds. Both coaters travels at a constant. Mario wants to ride the faster roller coaster. How fast does the gravity coaster travel? Find the unit rate.

Answers

Answer:

Mario would like to ride Hurricane coaster.

Gravity coaster travels at a unit rate of 34 m/s.

Step-by-step explanation:

Distance traveled by Gravity coaster = 340 meters

Time taken by Gravity coaster = 10 seconds

Distance traveled by Hurricane coaster = 190 meters

Time taken by Hurricane coaster = 5 seconds

Unit rate is nothing but the distance traveled by each coaster in unit time.

To find the unit rate, we can use the following formula:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Unit rate or speed of Gravity coaster = [tex]\frac{340\ m}{10\ s} = 34\ m/s[/tex]

Unit rate or speed of Hurricane coaster = [tex]\frac{190\ m}{5\ s} = 38\ m/s[/tex]

So, the faster coaster is the Hurricane coaster.

Mario would like to ride Hurricane coaster.

Gravity coaster travels at 34 m/s.

Which of the following is equal to [(x^2y^3)^-2/(x^6y^3z)^2]^-3

Answers

Answer:

A,B,D

Step-by-step explanation:

right on edge

Answer:

A,B,D

Step-by-step explanation:

x2 is to 441 as x3 is to ___.

Answers

Solve for c in x^2 = 441

Taking the square root of both sides x = 21

Now x^3 = 21^3 = 9,261

The answer is 9,261

The solution is x² is to 441 as x³ is to 9261

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

x² = 441

Taking square roots on both sides , we get

x = 21

Therefore , x³ = 21 × 21 × 21

x³ = 9261

Hence , x² is to 441 as x³ is to 9261

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What is the slope and y-intercept of the linear function?

f(x)= 2/3x + 12

Answers

well the slope would be 2/3 and the y intercept would be (0,12) :)

If g(x)=4x-5 find g(-3).

Answers

Answer: -17

Explanation: If g(x) = 4x - 5, then g(-3) = 4(-3) - 5 which simplifies to -17.

Find the rate of change given the following
points.
(-1, 3) and (1,7)

Answers

Can we see a pic of the answer of this question

You need a piece of paper to measure 56.34 cm. If you tape
two together that each measure 35.87 cm, how much do you
need to cut off?

Answers

Answer:

20.47.

Step-by-step explanation:

You need to 56.34, by 35.87. And you get your answer. 20.47!

PLEASE HELP
Given: AABC with vertices A(5,-2), B(5, -7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
o (0,0),(4,0), and (4.-5)
O (0,0).(-4,0), and (0, -5)
O(0,0). (0,4), and (5,0)
O (0,0),(4,0), and (0, -5)
None of the other answers are correct

Answers

Answer: (0,0),(0,4), and (5,0)

Step-by-step explanation:

It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.

This answer has an x intercept and y intercept.

Are the ratios 30:15 and 32:12 equal?

Answers

Answer:

No, they are not

Step-by-step explanation:

The ratio is 62:27 if I’m wrong I’m so sorry
:(

Find the total cost to the nearest cent.
$49.95 pair of shoes; 5% tax

Answers

Answer:

$52.45

Step-by-step explanation:

the tax is $2.50, if we add that to $49.95 we get $52.45

Total cost will be $52.45.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

Cost of shoes = $49.95

Tax = 5%

Now,

The value of tax = 49.95 × 5%

                         = 49.95 × 5/100

                         = 2.50

So, Total cost =  $49.95 + $2.50

                     = $52.45

Thus, Total cost will be $52.45.

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Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)

Answers

Answer:

[tex]y=\frac{9}{4}x-\frac{55}{4}[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

[tex]\frac{2-(-7)}{7-3}[/tex]

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

[tex]\frac{9}{4}[/tex]

The slope is [tex]\frac{9}{4}[/tex].

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

[tex]2=\frac{9}{4}(7)+b[/tex]

[tex]2=\frac{63}{4}+b[/tex]

[tex]-\frac{55}{4} =b[/tex]

The y-intercept is [tex]-\frac{55}{4}[/tex].

Now that we know the slope and the y-intercept, we can write the equation:

[tex]y=\frac{9}{4}x-\frac{55}{4}[/tex]

Mr. Jackson sold 3 computers in the first year . in the second year he sold 4 times more than the first and third year. He was able to sell 6 times as many monitors than the first year how many monitors did Mr. Jackson sell in three years?

Answers

39 computer monitors in 3 years

A stack of cards contains 17 red cards and 9 black cards. What are the odds against drawing a red card?
A. 9:17
B. 17:9
C. 9:26
D. 17:26

Answers

Answer:

Step-by-step explanation:

A

is the relation function?

choose the correct answer


marking brainlist

Answers

Answer:

Not a function because an output has two different inputs

Step-by-step explanation:

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