In the figure shown, abc is a right triangle with side lengths a, b, and c, and cd is an altitude to side ab. the side lengths of triangle acd are b, h, and r, and the side lengths of triangle cbd are a, s, and h.

which proportions are true?

a) c/a = a/s and c/b = b/r

b) c/a = s/a and c/b = r/b

c) c/b = a/s and c/a = b/r

d) c/b = s/a and c/a = r/b

A

Step-by-step explanation:

In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. This altitude divides the triangle into two right triangles ADC and BDC. In these triangles,

So,

1. From the similarity you have

2. From the similarity you have

Hence, option A is true

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0