Answer:
<em>First.</em> Let us prove that the sum of three consecutive integers is divisible by 3.
Three consecutive integers can be written as k, k+1, k+2. Then, if we denote their sum as n:
n = k+(k+1)+(k+2) = 3k+3 = 3(k+1).
So, n can be written as 3 times another integer, thus n is divisible by 3.
<em>Second. </em>Let us prove that any number divisible by 3 can be written as the sum of three consecutive integers.
Assume that n is divisible by 3. The above proof suggest that we write it as
n=3(k+1)=3k+3=k + k + k +1+2 = k + (k+1) + (k+2).
As k, k+1, k+2 are three consecutive integers, we have completed our goal.
Step-by-step explanation:
Answer:
f(5)=4
Step-by-step explanation:
f(5)=5_1=4
.....
If angle ec is a bisector then angles Bec and ced are the same making them both 4x+1. we know a line segment equals 180°. so if we take the 11x-12 and add it to 2(4x+1) we end up with 19x-10=180. you add 10 to both sides and get 19x=190 then you divide by both sides. you'll end up with x=10. you plug In the 10 with aeb and aec and add them together to get 139°. if you're looking for the equation, it's 15x-11.
Given:
Original price of a TV = $499
Price increased by 15%.
To find:
The new price of the TV.
Solution:
According to the question,
New price of the TV = Original price + 15% of its original price.
Therefore, the new price of the TV is $573.85.
Probability of getting tails on first flip = 1/2
Probability of getting tails on second flip = 1/2
Probability of getting tails on third flip = 1/2
Probability of getting all 3 tails = 1/2 * 1/2 * 1/2 = 1/8
