Suppose o is a randomly chosen point inside △abc. line segments

de, fg, and hi are drawn through point o such that de∥ ab, fg∥bc, and hi∥ ac. the areas of △foh, △eoi, △god are equal to a, b, and c, respectively. find the area of △abc in terms of a, b, and c.

Identify an equation in point slope form for the line perpendicular to y=3x+5 that passes through (4,-1)

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.

Math it's appreciated. (picture provided)