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:
A) The circumcenter of a right triangle falls on the side opposite the right angle
B) The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides
D.) The circumcenter is equidistant from (Apex)
Step-by-step explanation:
Ummm search it up on google it should be on there
Answer:
The slope of the dashed line is 
Step-by-step explanation:
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
What is the slope of the dashed line
Perpendicular to a line with slope 4, so:
The slope of the dashed line is
11 hours = 3
1 = 3 hours 40 minutes
