Aileen and emily are college roommates. working together it takes them 45 minutes to clean their room. today is aileen’s day to clean. she can clean the room by herself in 2/3 the time emily takes by herself. how long, in minutes, will it take aileen to clean the room by herself?

The solution for this problem is:

Let time taken by Emily be x 

then Aileen take 2/3 of x = 2x/3 

1 min work of Emily = 1/x

1 min work of Aileen = 1/ 2x/3 => 3/2x

1 min work of both = 1/45

1/x + 3/2x = 1/45

5/2x = 1/45

1/x = 2/225

Emily take 225/2 mins to complete the work, then Aileen

= 225/2*2/3

= 75 mins.

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.