If f(x) = x^4-x^3+x^2 and g(x)=-x^2, where x ≠ 0, what is (f/g)(x)?

If you shift the linear parent function, f(x)=x, up 13 units, what is the equation of the new function?

Consider that lines b and c are parallel. what is the value of x? what is the measure of the smaller angle?

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem