Answer: Circle
Step-by-step explanation:
Answer: x=133
Step-by-step explanation:
This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).
You first add up all your side:
150+130+97+120+90 +x = 587 + x
587+x = 720
x=133
Answer:
i think its f
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
Students like Vanilla ice cream = 86
Out of 86 Students like chocolate ice cream too = 48
So, No. of students who like only vanilla=86-48 = 38
There were 12 students who did not like vanilla ice cream but liked chocolate ice cream.
There were 2 students who did not like either vanilla ice cream or chocolate ice
Like Vanilla Did not like vanilla Total
Like Chocolate 48 12 60
Did not like chocolate 38 2 40
Total 86 14 100
No. of students who like chocolate out of 100 = 60
Now we are supposed to find the number of students who would like chocolate ice cream when 500 high school students participate in the survey.
Let x be the number of students out of 500 who like chocolate
So, A.T.Q
Hence the number of students who would like chocolate ice cream when 500 high school students participate in the survey is 300.
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
