Answer:
B
Step-by-step explanation:
According to the theorem, equal sides have equal angles opposite to them so AB AND AC are equal so x and y are also equal
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.
Make a proportion
81/30 = x/600
600/30 = 20
x/81 = 20
x = 1620
Solution: 1620 calories
For every 5 cashews, there are 6 peanuts and 7 almonds.
Means: Cashews:Peanuts:Almonds = 5:6:7
Sum of ratio = 5 + 6 +7 = 18
Cashews = (5/18) * 270 = 75
Peanuts = (6/18) * 270 = 90
Almonds = (7/18) * 270 = 105
So how many more what are there than peanuts?
The number of that nuts Minus the number of peanuts.
= Number of that nuts - 90
