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
Net income in a property is 40000 and cap rate is 10% value of property using the income capitalization method
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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
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Step-by-step explanation:
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Answer:
96 and 36
Step-by-step explanation:
3+8 = 11
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so:
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If the value of "y" varies directly with "X"
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Answer:
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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.
The number that appears in the middle of an organized set of data from least to greatest
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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,
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Therefore , the solution to the given problem of simple interest comes out to be $272.
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PLEASE HELP 30 POINTS
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The answer is No!! I hope this helps, have a wonderful day!
Answer:
A) yes, both functions are inverses of each other.
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[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]
Please help solve (No Link Please!!!)
There is 283 5/8 gal of liquid fertilizer in a fertilizer
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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
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Answer:
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Responses
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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 ...
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Answer:
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Answer:
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y
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Answers
Answer:
745.5 ft
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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True or False?
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Answer:
3
Step-by-step explanation:
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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.
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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
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Given that, ABCD≅EFGH
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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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Additional comment
(r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3
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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
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4 x (9 ÷ 3 ) + 6 - 2
by PEMDAS
Bracket solved 1 st
than division further mortification, addition and substraction.
4 x (3 ) + 6 - 2
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1) Use your own words to explain the following terms:
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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!
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=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:
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