Sthe following statement always, sometimes, or never true?

“the supplement of an acute angle is an obtuse angle.”

explain your answer.

sample response: the statement is always true because the sum of the two angles must be 180 degrees to be supplementary. if the first angle is an acute angle, then it has a measure of less than 90 degrees. to sum 180 degrees, the second angle would need to be more than 90 degrees, making it an obtuse angle.

1.  No, Bo made an error on Line 3.  When he pulled out x from x² - 8xy, the result should have been x(x - 8y).  Instead, Bo wrote x(x - 8).  It should go like this:

Line 1:  x² - 10xy + 16y²
Line 2: x² - 8xy - 2xy + 16y²
Line 3: x(x - 8y) - 2y(x - 8y)

After this, we can pull out the factor (x - 8y):

Line 4: (x - 2y)(x - 8y)

2.  I'm not 100% positive, but I think you would have to look at a and c in the equation y = ax² + bxy + cy².  If they are prime numbers, I believe that the equation would be prime.