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:
Do you mean 5x+20=70?
If so (Under)
Step-by-step explanation:
5x+20=70
5x=50
x=10
Answer:
I think it’s 17 mph
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees
3x + 2x + x = 180
6x = 180
x = 180/6
x = 30
< C = 2x.......2(30) = 60 <===
< B = 3x.......3(30) = 90
< A = x................. = 30
