Answer:
243 and 2 over 5
Multiply
(−243) and 2 over 5 . −486 over 5.
Move the negative in front of the fraction.
−486 over 5
Exact Form:
-486 over 5
Decimal Form:
-97.2
Mixed Number Form:
-97 and 1 over 5
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:
7/20
Step-by-step explanation:
given,
2r = 7/10
r= 7/10*1/2
r= 7/20
Answer:
Step-by-step explanation:
Given infinite system of linear equations is ax + by = 0
when (a,b) moves along unit circle in plane.
a) system having unique system (0, 0)
Since two of equation in thus system will be
and
It is clear that x = 0, y= 0 is the only solution
b) Linear independent solution in this system gives some set of solutions
and
Vector form is
![\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%20%3DI)
c) for this equation if add 0x +0y = 0 to system , Nothing will change
Because [0,0] satisfies that equation
d) If one of the equation is ax + by = 0.00001
where 0.00001 is small positive number
so, the system will be inconsistent
Therefore, the system will have no solution.
Answer:
500
Step-by-step explanation:
Let the unknown number be n. Then 1.5n = 750, and n = 500.
750 is 150 percent of 500.
