Find the central angle of a sector of a circle if the area of the sector and the area of the remaining part of the circle are in the proportion 4 : 5 ( with explanation )

1. a right triangle is graphed on a coordinate plane. find the length of the hypotenuse. round your answer to the nearest tenth. 2. use the angle relationship in the figure below to solve for the value of x. assume that lines a and b are parallel and line c is a transversal.

Afruit stand has to decide what to charge for their produce. they need $10 for 4 apples and 4 oranges. they also need $15 for 6 apples and 6 oranges. we put this information into a system of linear equations. can we find a unique price for an apple and an orange?

The ratio of men to women working for a company is 4 to 5 . if there are 90 women working for the company, what is the total number of employees?