in triangle △ABC , point D is between points A and B, and point E is between points B and C. Point Y is the incenter of the triangle, YD¯¯¯¯¯⊥AB¯¯¯¯¯ , and YE¯¯¯¯¯⊥BC¯¯¯¯¯ . DB=45 and YB=51 . What is YE ? Could you show me how to solve it also?? Thank you!

Asmall business produces and sells balls. the fixed costs are $20 and each ball costs $4.32 to produce. each ball sells for $8.32. write the equations for the total cost, c, and the revenue, r, then use the graphing method to determine how many balls must be sold to break even.

3women sell hats at a craft fair weekly. the money they make at the fair is split into categories. 9% goes to pay taxes. $55 goes to pay rent for the space they sell in. the rest is split between the women. if the group make $706 at the fair, how much does each women get paid once the money is divided

The sum of the speeds of two trains is 720.2 mph. if the speed of the first train is 7.8 mph faster than the second train, find the speeds of each.