Answer:
Step-by-step explanation:
So we can just set up a proportion
14.5/2=x/3
we can cross multiply
so that means
2x=43.5
x=21.75
Hello,
Shall we begin?
1. what is 10% of 20? = 20 * 0.1 = 2
2.What is 5% of 10? = 10 * 0.05 = 0,5
3. What is 25% of 100? = 100 * 0,25 = 25
4. What is 15% of 50? = 50 * 0.15 = 7,5
5. What is 30% of 60? = 60 * 0,3 = 18
6. What is 50% of 80? = 80 * 0,5 = 40
7. What is 20% of 120? = 120 * 0,2 = 24
8. What is 35% of 70? = 70 * 0,35 = 24.5
9. What is 75% of 150? = 150 * 0,75 = 112.5
10. What is 60% of 90? = 90 * 0,6 = 54
11. What is 40% of 40? = 40 * 0,4 = 16
12. What is 55% of 110? = 110 * 0.55 = 60.5
13. What is 80% of 130? = 130 * 0,80 = 104
Answer:
0 (1,2,3,4,5,)and (0,1,2,3,4,5,)
Answer:
a=64° alternating angles
b=40° corresponding angles
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
