Which of the following statements is true only if triangles EFI and GFH are similar? Line segments EG and HI intersect at point F, forming triangles EFI and HFG Line a intersects with both triangles at point F.

two segment FI equals three segment FH
Lines EI and HG are parallel
Points E, F, and G are collinear
segment EI over segment FI = segment GH over segment FH

Larry bar opened a frame shop and completed these transactions: larry started the shop by investing $41,100 cash and equipment valued at $19,100 in exchange for common stock. purchased $180 of office supplies on credit. paid $2,300 cash for the receptionist's salary. sold a custom frame service and collected $5,600 cash on the sale. completed framing services and billed the client $310. what was the balance of the cash account after these transactions were posted?

Use the x-intercept method to find all real solutions of the equation. -9x^3-7x^2-96x+36=3x^3+x^2-3x+8

12. the amount of money in a bank account decreased by 21.5% over the last year. if the amount of money at the beginning of the year is represented by ‘n', write 3 equivalent expressions to represent the amount of money in the bank account after the decrease?