prove that the diagonals of a parallelogram bisect each other​

Answers

Answer 1

Answer:

[ See the attached picture ]

The diagonals of a parallelogram bisect each other.

✧ Given : ABCD is a parallelogram. Diagonals AC and BD intersect at O.

✺ To prove : AC and BD bisect each other at O , i.e AO = OC and BO = OD.

Proof :[tex]\begin{array}{ |c| c | c | } \hline \tt{SN}& \tt{STATEMENTS} & \tt{REASONS}\\ \hline 1& \sf{In \: \triangle ^{s} \:AOB \: and \: COD } \\ \sf{(i)}& \sf{ \angle \: OAB = \angle \: OCD\: (A)}& \sf{AB \parallel \: DC \: and \: alternate \: angles} \\ \sf{(ii)} &\sf{AB = DC(S)}& \sf{Opposite \: sides \: of \: a \: parallelogram} \\ \sf{(iii)} &\sf{ \angle \: OBA= \angle \: ODC(A)} &\sf{AB \parallel \:DC \: and \: alternate \: angles} \\ \sf{(iv)}& \sf{ \triangle \:AOB\cong \triangle \: COD}& \sf{A.S.A \: axiom}\\ \hline 2.& \sf{AO = OC \: and \: BO = OD}& \sf{Corresponding \: sides \: of \: congruent \: triangle}\\ \hline 3.& \sf{AC \: and \: BD \: bisect \: each \: other \: at \: O}& \sf{From \: statement \: (2)}\\ \\ \hline\end{array}.

Proved ✔

[/tex]

♕ And we're done! Hurrayyy! ;)

# STUDY HARD! So, Tomorrow you can answer people like this , " Dude , I just bought this expensive mobile phone but it is not that expensive for me" [ - Unknown ] :P

☄ Hope I helped! ♡

☃ Let me know if you have any questions! ♪

[tex] \underbrace{ \overbrace {\mathfrak{Carry \: On \: Learning}}}[/tex] ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Prove That The Diagonals Of A Parallelogram Bisect Each Other

Related Questions

Why do people trust brainly to give a right answer?

Answers

Answer:

Because most of the times they can learn from their answers and the answers are correct.

Step-by-step explanation:

What is the difference of the whole number and the mixed number below? 9-3 3/4 A. 5 1/4 B. 6 1/4 C. 6 3/4 D. 5 3/4

Answers

Answer:

A

Step-by-step explanation:

Evaluate the expression 4 x (9 ÷ 3) + 6 − 2 using PEMDAS. (4 points)

Group of answer choices

27

24

16

11

Answers

4 x (9/3) + 6 - 2
4 x (3) + 6-2
12+6-2
16
Final answer =16

The correct answer is option c) 16.

4 x (9 ÷ 3 ) + 6 - 2

Define simplification?

Simplification can define as exicute the operations according to the mathematical operators.

4 x (9 ÷ 3 ) + 6 - 2
by PEMDAS

Bracket solved 1 st
than division further mortification, addition and substraction.

4 x (3 ) + 6 - 2
12 + 6 - 2
= 16

Thus the required value of simplification is 16.

Learn more about simplification here:
https://brainly.com/question/17579585?\

#SPJ2




A piece of stained glass art forms a half circle. The part labeled a is green. What is the measure of angle a?

This is angles.

Answers

Answer:

40

Yea. Hope this helps? Adios

Answer:

40

Step-by-step explanation:

if this is what I'm sorry I'm not very good at math

what is

20x + 30x ( 23 - ( -9)

Answers

The answer is 980x. Good luck!
Thee answer is 980x.


If the value of "y" varies directly with "X"
and y = -8 when x = 20, find "y" if x = -4.

Answers

Answer:

y=kx

-8=k20

-8/20=20k/20

k=-0.4

y=-4×-0.4

y=1.6

Net income in a property is 40000 and cap rate is 10% value of property using the income capitalization method

Answers

The current value of property is 4000

What is the capitalization rate?

The capitalization rate (also known as cap rate) is used in the world of commercial real estate to indicate the rate of return that is expected to be generated on a real estate investment property. Formula: Capitalization Rate = Net Operating Income / Current Market Value

Given here cap rate as 10% and income as 40000, Thus Current market value of property is = 40000/10

                                 =4000

Hence, The current value of property is 4000

Learn more about the capitalization rate here:

https://brainly.com/question/29946431

#SPJ1

Kyra drove to visit her friend. She traveled 113 miles in 5\frac{2}{7} hours. What was her average speed? Write your answer as a mixed number using a space and the division symbol. Example 2 1/2

Answers

232 fhdbsid is asvgsbsbdd

Pleaseee
True or False?
a) a line contains 2 points
b) a plane does not contain 3pts not all one line
c) Through any 2 points, exactly 1 line exists
d) If 2 planes intersect, their intersection is a point

Answers

The answer would be D)

Circle has a radius of 4 and the center is (-4,-8) what is the equation of the circle if I double the radius

Answers

9514 1404 393

Answer:

  (x +4)^2 +(y +8)^2 = 64

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The circle centered at (h, k) = (-4, -8) with radius 8 has equation ...

  (x +4)^2 +(y +8)^2 = 64

PLEASE HELP 30 POINTS

Answers

The answer is No!! I hope this helps, have a wonderful day!

Answer:

A) yes, both functions are inverses of each other.

[tex]---------[/tex]

[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]

If p is true and q is true, then ^p — ^ ~ q is true.

Answers

Answer:

okey???????????????????????? p and q is true got it.

Answer:

wat?

Step-by-step explanation:

Find x.
Round to the nearest tenth:
28°
350 ft
y
x = [ ? ]ft

Answers

Answer:

745.5 ft

Step-by-step explanation:

Reference angle (θ) = angle of depression = angle of elevation = 28° (alternate angles are congruent)

Opposite side = 350 ft

Hypotenuse = x

Apply the trigonometric function, SOH:

Sin θ = Opp/Hyp

Sin 28° = 350/x

x = 350/Sin 28

x = 745.5 ft (nearest tenth)

9. Lisa bought h shares of Home Depot stock for x dollars per share. She sold all of the
shares years later for y dollars per share. Express her capital gain algebraically.

Answers

Answer:

(hy)-(hx)=P

Step-by-step explanation: to get the total price of stock you multiply the cost of one share by how many shares were bought. After being sold years later they made a profit, you must subtract the total cost from this profit to find the total profit.

Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks! Please answer my other questions!

Answers

Answer:

3

Step-by-step explanation:

Hey need some help, pretty desperate so please help thank you <3

Answers

Answer:

Hello!

answer x = 46

z = 24

y = 14

3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with
См
a radius of 1 m. The entire area of the park has grass with the exception of the bases for
the lamps. Calculate the lawn area.

Answers

Answer:

Area of the lawn = 62493π m^2

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Method 1 = 8.75

method 2 = 12.16

Hope this helped gll

Step-by-step explanation:

Help if you know how to do this! I’d really appreciate it!

Answers

The value of x is 20 and the value of y is 8 from the given quadrilaterals.

What is a Congruent Polygon?

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

Given that, ABCD≅EFGH

We know that, corresponding parts of congruent polygon are equal.

Now, (4y-4)°=28°

4y=32

y=8

(10x-65)°=135°

10x=200

x=20

Therefore, the value of x is 20 and the value of y is 8 from the given quadrilaterals.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ1

In the following equation, which part is the difference?
200 - 150 = 50
200
50
150

Answers

9514 1404 393

Answer:

  50

Step-by-step explanation:

The attachment shows the vocabulary associated with a subtraction equation.

In your equation, the difference is 50.

You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?

Answers

Therefore , the solution to the given problem of interest comes out to be $272.

What does interest mean?

Simple interest is calculated by dividing initial capital by the interest rate, the duration, and other variables. The formula employed in marketing is simple return = principle + interest plus hours. This approach is the simplest way to calculate interest. Calculating interest as a percentage of the principle sum is the most common approach. For instance, he may only pay his portion of the interest if he borrowed $100 from a friend and agreed to pay it back with 5% interest. $100 (0.05) = $5. You should pay interest when you make loans, and you also must pay interest when you lend it. Usually, interest is calculated as a portion of a loan.

Here,

Given: $250 in principal

a 2.2% interest rate

and a 4-year term

To discover the basic interest:

Using this formula

Simple interest is equal to

=>P*R*T/100,

=> 250*2.2*4/100

=> 22.

Total amount after 4 years = 250 + 22 =272

Therefore , the solution to the given problem of simple interest comes out to be $272.

To know more about interest visit:

https://brainly.com/question/28792777

#SPJ1

please help me out asap ​

Answers

Answer:

[tex] {(x + 5)}^{2} - {x}^{2} \\ {x }^{2} + 10x + 25 - {x}^{2} \\ 10x + 25 \\ 5(2x + 5)[/tex]

Ifn(r'ns')+ n(r'ns)=3 n(r n s) = 4 & n(s'nr)= 7 find n(u).

Answers

Answer:

  14

Step-by-step explanation:

You want to know the size of the universal set if ...

n(r'∩s') +n(r'∩s) = 3n(r∩s) = 4n(s'∩r) = 7

Universe

The given sets are mutually exclusive and exhaustive, so the sum of their sizes is the size of the universal set:

  n(u) = 3 + 4 + 7

  n(u) = 14

__

Additional comment

  (r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3

  (r∩s) ∪ (r∩s') = r∩(s ∪ s') = r . . . . . . n(r) = 4 +7 = 11

Then r' ∪ r = u, the universal set.  . . . . n(u) = 3 +11 = 14

A bag contains 9 tiles, each with a different number from 1 - 9. You chose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?

Someone pls explain this. I know the answer is 1/504 but how do you get there?

Answers

The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation and is equal to 1/504.

What are permutations?

Permutations refer to the arrangements of objects in certain order or way.

The number of alternative arrangements in a set can be calculated mathematically using a permutation where the order of the configurations is important.

The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation.

The probability is obtained as 1 / ₉P₃

where;

₉P₃ = 9! / (9 - 3)!

₉P₃ = 9! / 6!

9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

6! = 6 * 5 * 4 * 3 * 2 * 1

₉P₃ = 504

Hence, the probability = 1/504

Learn more about permutations at: https://brainly.com/question/1216161

#SPJ1

Which of the following equations represent linear functions? select all that apply

Responses

3x+5y=1

y= -9/x2(2 is an exponent)

y=x2(2 is an exponent)-7

y=1/x
will give brainliest for whoever answers correctly and quickly

Answers

3x+5y=1
When you put this into slope intercept form you should get a linear function. For the second and third, it has exponents so it can’t be linear and the last one also isn’t linear

The number that appears in the middle of an organized set of data from least to greatest
A) Mean
B) Median
C) Mode
D) Range

I'll give brainliestttt ​

Answers

The answer is median

Answer:

Median

Step-by-step explanation:

Have a good day ^^

2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5

A=2,B=1/2 and C=0

A=1,B=0 and C = 5

O A=1/4,B=3/4 and C=0

Answers

Answer:the third one

Step-by-step explanation:

1) Use your own words to explain the following terms:
function,
domain, range vertical line test.

Answers

TERMS

Function: A function is a mathematical relationship between two sets of values, where each element in the first set (called the domain) is related to exactly one element in the second set (called the range). A function can be represented by a formula, equation, or graph, and it describes how one set of values is related to another.

Domain: In a function, the domain is the set of all possible values that can be used as input for the function. It is the set of values that the function operates on.

Range: In a function, the range is the set of all possible values that can be produced as output by the function. It is the set of values that the function produces as a result of operating on the domain.

Vertical line test: The vertical line test is a method used to determine whether a graph represents a function.

Hope This Helps You!

Please help solve (No Link Please!!!)

There is 283 5/8 gal of liquid fertilizer in a fertilizer
application tank. After applying 178 2/3 gal to a soybean
field, the farmer requests that a local farm supply company deliver an additional 250 gal to the tank. How many gallons of fertilizer are in the tank after the delivery?

Answers

Answer:

354 23/24 gallons

Step-by-step explanation:

283 5/8 can be rewritten as 283 15/24

and 178 2/3 can be rewritten as 178 16/24

we do this to subtract the numbers easily.

we get 104 23/24

104 23/25 + an additional 250 gal = 354 23/24

Find two numbers which have a sum of 132 and that can be written as the simplified
ratio 3:8

Answers

Answer:

96 and 36

Step-by-step explanation:

3+8 = 11

132/11 = 12

so:

12 x 3 = 36

12 x 8 = 96

Other Questions
Show instructionsQuestion 1 (1 point)The base of the rectangular prism is shaded in the sketch below. What is the lateral surface area ofthe rectangular prism?15 cm28 cm34 cmA 1,904 cmB 1,860 cm?C 3,764 cm?D 14,280 cm? Large SmallBlue 17 3Red 8 12?Find: P(Large or Red)Remember to reduce your answer.Enter why is population education important in modern time Contrast the force of gravity between thesepairs of objects: a 1-kg mass and a 2-kgmass that are 1 m apart; a 1-kg mass and a2-kg mass that are 2 m apart; and two 2-kgmasses that are 1 m apart. Joe works for an insurance company and has been tasked with creating a web-based application that the field adjusters can use to upload pictures of vehicles they are inspecting. Which of the following components would Joe need to create and configure on their cloud service provider's portal for the pictures to be saved to Proteins have all of the following properties except1 enzymes2signal molecules3genetic material4 transport5 structural A farmer sells eggs at a market. She offers three different sizes. For any size, the weight of each egg can vary up to 8%. Calculate the missing values in the table. Is it possible for an egg to be both large and extra large? Yes I WILL GIVE OUT BRAINLIEST AND 100 POINTS Lesson 5.09Download a copyAt the top left, click File and Download Choose your file type. This will download to your computer so you can have your own copy to type on and save. Instructions-Your Opinion MattersYou have finished reading a novel or short story. It is time to share your thoughts. One common way to do so is by writing a book review.A book review describes, analyzes, and evaluates what you have read. It expresses your opinions with support from the text so others can make an informed choice about whether they should read the book themselves.Step 1: Writing Your Introduction/DescriptionThere are several key steps to writing an effective book review. The first is creating a strong introduction and description. The opening paragraph will capture readers attention and provide clear facts about the text you are reviewing.The introduction/description should include:a hook to inspire readers to look at or listen to your review. Hook readers with an unusual question, a vivid description, or a fascinating statement taken from the book or author.specific information including the title, author, and genre of the story.a brief summary of the setting, characters, and plot. Provide enough details to get readers interested without giving away important facts that will spoil the story.Example Intro: What would you do if you suspected someone in your school was an alien? The play Alienated, by Ken Preuss is a comedy and mystery set in a modern-day high school in Mapleville. Convinced one of her classmates is an alien, Cammie questions students about a strange light that appears every six years.Write your Intro Here: Plz help me well mark brainliest if Correct!!... Draw the structure of the major organic product(s) of the following reaction.excess Br2excess OH What types of locations were chosen for the internment camps? Why was Silent Spring so influential at the time?The book provided inspiration to those suffering from pesticide exposure.It was the first book to bring awareness to global warming issues.It was the first book that discussed the benefits of the Endangered Species Act.It was the first time that the public was being made aware of the long-term impacts of pollution. Spending on testing a product before shipment to customers is which type of quality cost? a. External failure cost b. Prevention cost C. Appraisal cost d. None of the above What is the value of sin(7pi/4)? See attached. 1. True/False The Pressure Relief valve maintains the minimum pressure in the hydraulic circuit Why was the Jackson State incident not reported? According to the FASB's conceptual framework, comprehensive income includes which of the following?Op Inc Investmentsa. No Yesb. No Noc. Yes Yesd Yes No EASY BRAINLIEST PLEASE HELP!!-if you answer correctly ill give you brainliest which will give you 100pts-(if you put links or don't answer accordingly im reporting your account) Select the correct answer.Which phrase best describes the relationship indicated by the scatter plot? A. constant correlation B. negative correlation C. positive correlation D. no correlation There is a closed carton of eggs in Mai's refrigerator. The carton contains e eggs and it can hold 12 eggs. What does the inequality e