The women’s department of a store stocks 4 types of black socks for every 5 types of white socks. The men’s department stocks 6 types of black socks for every 7 types of white socks.
If each department has the same number of black socks, which department stocks more types of white socks?

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees

a ≈ 172.05

step-by-step explanation:

the pictures.