Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4
We know that
as
so the remainder is 3. ∵ 
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
Answer:
The correct answer will be; B or 40.
Step-by-step explanation:
Because when the ratio of boys changed from 8 to 32, it increased by "time 4" (8*4 = 32), so the same pattern will be followed for girls, multiplying the number that you already have by four; 10 (amount of girls given) * 4 = 40.
Hope this helped, Good Luck!
Answer:
Step-by-step explanation:
Cross multiplying
5z =14*24
5z = 336
Divide by 5
z = 336/5
Or mixed fraction z= 67(1/5)
Decimal z= 67.2
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.
<span>the width of the cake pan can be found with the following formula
area = W x L=</span>432 in.2<span>
but L= 4/3W
so we have </span>
area = W x 4/3W=4/3W²=<span>432 in.2, and </span><span>W²=<span>(3/4)x 432 in.2, and W=18 in</span> </span>
