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:
A. 18÷2/9
Step-by-step explanation:
A. 18÷2/9
B. 18×2/9
C. 2/9÷18
D. 9/2÷18
Let
Total length of box = 18 inches
Thickness of each book = 2/9 inches
Number of books that will fit into the box = x
Number of books that will fit into the box = Total length of box ÷ Thickness of each book
x = 18 ÷ 2/9
= 18 × 9/2
= 162/2
= 81 books
The correct answer is A. 18÷2/9
This is just like working with money in a bank account
that's earning 12% interest.
If the population is 422,000 today, and
' n ' is the number of years after today,
then
Population = 422,000 (1.12)ⁿ .
Answer:
simple interest
Step-by-step explanation:
this is because r is interest rate, p is principal, and t is time