Answer:
The value of angle α is 18 degree.
Step-by-step explanation:
Given information: Angles α and β are the two acute angles , α < β.
Given equation is

![[\because \sin (90-x)=\cos x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20%2890-x%29%3D%5Ccos%20x%5D)
Equating both sides.




The value of x is 13.
The measure of angles is


Since 18<72, therefore the value of angle α is 18 degree.
For this case you can solve the problem by applying a simple rule of three in which we have
520 ---> 100%
800 ---> x
Clearing x we have
x = (800/520) * 100 = 154%
the percentage increase in cost was
154-100 = 54%
answer
the percentage increase in cost was 54%
7 would be the the correct choice. Because it takes 8 minutes to wash each car, if you divide 56 by 8 you get 7.