A drawer contains 22 brown socks and 22 black socks, all unmatched. A man takes socks out at random in the dark. What is the least number of socks that he must take out to be sure that he has at least two socks of the same color?

3 socks:)

Step-by-step explanation:

He has 22 brown socks and 22 black socks.

He must take 2 socks at least, but he can take different colors, so we have:

1.He takes one sock, let he takes brown socks.

2. He takes one socks more, it can be different color from first socks, so it can be black.

3. He takes one socks more which is black or brown, so we have both color, so he will have two socks with the same color.

it has to have an angle of 90 degrees

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.