@Konrad509's answer was fantastic.
What you first need to know is this. 3 consecutive natural numbers multiplied by each other, for instance: (1*2*3) or (2*3*4) or (3*4*5) or (4*5*(2*3)) can be described using the abstract expression:
(n-1)n(n+1)
-------------
Now:
A=n(n²+11),
and:
n(n²+11)
=n(n²-1+12)
=n³-n+12n
=n(n²-1)+12n
=n(n+1)(n-1)+12n
=(n-1)n(n+1)+(4*3)n
-------------------------
So:
A=(n-1)n(n+1)+(4*3)n
Therefore, A is divisible by 3.
The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
What is the intersection of the three sets? A={0,2,3,6,8}, B={2,3,6,8,9}, C={1,2,4,8,9} A. {2,8,9} B. {2,6,8} C. {2,8} D.{0,1,2,
kumpel [21]
The intersection of sets is the set of all elements common to all sets. In the given above, all the sets contain the numbers 2 and 8. Thus, the intersection is a set with elements 2 and 8. The answer to this problem is letter C.
answer: 50°
If triangle is isosceles than L and J are same angles
3x + 20 = 4x + 10
3x-4x=10-20
-x = -10 (divide both sides by -1)
x=10
angle L=J = 3*10+20= 50
we can calculate it like this too 4*10 +10= 50
H= -15
You subtract -2 on each side and cancel out the +2 with the -2. One you do that your left with -13-2, which is -15. Therefore h =-15
