16. in the figure given, n||m. justify the statement ∠1 ≅ ∠2.

a. alternate interior angles are congruent.
b. same side interior angles are congruent.
c. corresponding angles are congruent.
d. alternate exterior angles are congruent.

A. Alternate interior angles are congruent.

Step-by-step explanation:

Parallel lines cut by a transversal create special angle relationships. An alternate interior angle relationship is one where angles are congruent. These angle pairs are inside the parallel lines and across the transversal from each other.

Option A is correct.

the answers c

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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