Given ∠2≅∠8, which theorem allows you to conclude m∥n? A. Alternate Interior Angles Theorem
B. Converse of Same-Side Interior Angles Theorem
C. Converse of Alternate Interior Angles Theorem
D. Converse of Alternate Exterior Angles Theorem
E. Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem

C. Converse of Alternate Interior Angles Theorem

Step-by-step explanation:

Look for a Z shape (or a backwards Z) where the top and bottom bars of the Z are the parallel lines. Then the alternate interior angles are tucked into the the "corners" of the Z. The answer A is close but it says if the lines are parallel then the angles are congruent (the alt-int angles) So the converse is that if the alt-int angles are congruent then the lines are parallel. Your answer is C.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

well what did you do it matters what you did : )

step-by-step explanation: