The top shelf of a bookcase holds 6 fiction and 4 nonfiction books. On the bottom shelf are 3 fiction and 5 nonfiction books. Choosing which 2 books describes a pair of dependent events?

A.
one of the fiction books on the top shelf, and then one of the nonfiction books on the bottom shelf
B.
one of the fiction books on the top shelf, and then a second fiction book from the bottom shelf
C.
one of the nonfiction books on the bottom shelf, and a second nonfiction book from the bottom shelf
D.
one of the fiction books on the top shelf, and then one of the nonfiction books on the top shelf

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

the answer is 3/2 and for decimal: 1.5

hope i

-lavira: )