6x + 15 = 6 (x + 3)
6x + 15 = 6x + 18
6x = 6x + 3
0 = 3
So, there are no solutions to this equation.
We are given the data 4 8 5 12 3 9 5 2 and is asked for the mean and standard deviation of the numbers or data set. The mean is the average equal to 6. The standard deviation reveals the spread of the data. In this case, the standard deviation is equal to 3.16
I won't write out a formal proof; here's an outline.
H+X=180. definition of supplementary
H+F=180 crossing lines
X=F supplements of the same angle are equal, or just algebra
l || n When the alternate angles of a transverse line between two lines are congruent, the lines are parallel
X^6=x^8 subtract x^8 from both sides
x^6-x^8=0 factor out x^6
x^6(1-x^2)=0 now factor parenthetical term
x^6(1-x)(1+x)=0
So the values of x that satisfy the above condition are:
x=-1,0,1
