prove that the diagonals of a parallelogram bisect each other
Answers
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]
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Related Questions
1) Use your own words to explain the following terms:
function,
domain, range vertical line test.
Answers
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!
If the value of "y" varies directly with "X"
and y = -8 when x = 20, find "y" if x = -4.
Answers
Answer:
y=kx
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-8/20=20k/20
k=-0.4
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If p is true and q is true, then ^p — ^ ~ q is true.
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Answer:
okey???????????????????????? p and q is true got it.
Answer:
wat?
Step-by-step explanation:
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
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Hence, The current value of property is 4000
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Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks! Please answer my other questions!
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Answer:
3
Step-by-step explanation:
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
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:
2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
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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:
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
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
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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
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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
In the following equation, which part is the difference?
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200
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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.
Which of the following equations represent linear functions? select all that apply
Responses
3x+5y=1
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will give brainliest for whoever answers correctly and quickly
Answers
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
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Answer:
[tex] {(x + 5)}^{2} - {x}^{2} \\ {x }^{2} + 10x + 25 - {x}^{2} \\ 10x + 25 \\ 5(2x + 5)[/tex]
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Answers
Answer:
96 and 36
Step-by-step explanation:
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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 ...
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n(u) = 3 + 4 + 7
n(u) = 14
__
Additional comment
(r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3
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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
Answer:
Median
Step-by-step explanation:
Have a good day ^^
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
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Answers
Answer:
Area of the lawn = 62493π m^2
Step-by-step explanation:
Hey need some help, pretty desperate so please help thank you <3
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Answer:
Hello!
answer x = 46
z = 24
y = 14
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
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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!
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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
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You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
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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.
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what is
20x + 30x ( 23 - ( -9)
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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]
Evaluate the expression 4 x (9 ÷ 3) + 6 − 2 using PEMDAS. (4 points)
Group of answer choices
27
24
16
11
Answers
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
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.
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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
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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.