the vertices of δghi are g (2, 4), h (4, 8), and i (8, 4). the vertices of δjkl are j (1, 1), k (2, 3), and l (4, 1). which conclusion is true about the triangles?
a. they are congruent by the definition of congruence in terms of rigid motions.
b. they are similar by the definition of similarity in terms of a dilation.
c. the ratio of their corresponding sides is 1: 3
d. the ratio of their corresponding angles is 1: 3.

b. they are similar by the definition of similarity in terms of a dilation.

step-by-step explanation:

when you graph them, it's easier to visualize what's going on. you can use distance formula to determine a ratio. line gh and line jk are similar. the same goes for each of the corresponding side lengths. when all the side lengths are the similar, you can conclude that all of the angles must also be the same. a triangle that is 3 in x 3 in x 3 in has the same angle measures as a triangle that is 3 ft x 3 ft x 3 ft, even though the side lengths have changed size. they are still proportionate.

when the ratios of both corresponding sides and corresponding angles are the same, the triangles are similar.

300pi

step-by-step explanation:

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