Adjacent angles ABD and DBC. The measure of angle ABD is 20 degrees. If m∠ABC = 80°, what is m∠DBC? Justify your reasoning. Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality. Using the Angle Addition Postulate, 20 + 80 = m∠DBC. So, m∠DBC = 100° using the addition property of equality. Using the addition property of equality, 20 + 80 = 100, so m∠DBC = 100°. Using the subtraction property of equality, 80 − 20 = 60, so m∠DBC = 60°.

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! : )

cretdit to source

on a coordinate grid, point a is at (−4.0, −2.4) and point b is at (4.0, −2.4). point b is a reflection of point a across the –axis. input either a lowercase x or i think is the right awnser

step-by-step explanation:

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64