Find the measure of the indicated angles.
supplementary angles with measures 14x −19 and 7x−32

135° and 45°

Step-by-step explanation:

We are given two angles;

14x −19 and 7x−32

To find the two angles we need to know what are supplementary angles;

Then, a + b = 180

Therefore, in this case;

14x −19 + 7x−32 = 180

Solving for x

21x- 51 = 180

21x = 231

  x = 11

Therefore, the angles are;

14x −19 = 14(11) -19 = 135° and

 7x−32 = 7(11) - 32 = 45°

Thus, the measure of angles are 135° and 45°

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

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi