Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261
Since, we assumed that the diagonals dont bisect each other,
OC≠OA
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261
∠AOD≅∠BOC as they are vertical angles,
∠OAD≅∠OCB they are alternate interior angles
AD≅BC, by definition of parallelogram
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.
Answer:
The answer is x>25/46
Step-by-step explanation:
Distribute 23 through the parentheses
138x-69>6
Move constant to the the right and change the sign. 138x>6+69.
Add the numbers like this: 138x>75
Divide both sides and you'll will get x>25/46 which is your answer. Let me know if this helps
Answer:
Select all the expressions that equal -2 + 5.
A
-2 - (-5)
B
-2 - 5
C
5 - 2
D
5 + (-2)
Step-by-step explanation:
Answer:
8x-14=8x-14
Step-by-step explanation:
So if both the equations are the same, that means that any value of x put in the equation will equal itself, so that means that there are infinite solutions to the equation
If you try to solve this equation, this happens
8x-14=8x-14
add 14 to both sides
8x=8x
divide by 8 both sides
x=x
This means that there are infinite solutions because any number could be x and it would still work
If a company has five employees with annual salaries of $60,000, $70,000, $60,000, $90,000, and $80,000, respectively, what is t
Vanyuwa [196]
well to find the mean you add up all the numbers then divide by the ammount of numbers so it would be 60,000+70,000+60,000+90,000+80,000=360,000 then you divide that by 5 and you end up with 72,000