How do you do a coordinate graph faster?

Triangles abc and dfg are given. find the lengths of all other sides of these triangles if: b ∠a≅∠d, ab·dg=ac·df, ac=7 cm, bc=15 cm, fg=20 cm, and df-ab=3 cm.

Amy is plan her school's new basketball court. the west edge of the basketball court is located on the line y = 5x + 2. the east edge cannot intersect with the west edge. on which line could the east edge be located? −y − 5x = 100 y + 5x = 100 −5x − y = 50 5x − y = 50

Choco pies are cookies made from chocolate (c), sugar (s), and flour (f). chocolate costs $5 per pound, sugar costs $3 per pound, and flour costs $2 per pound. you spend $50 on 18 pounds of food and buy twice as much flour as sugar. calvin wants to invest $12,000 in deposits. for tax purposes, he wants his total interest to be $600. he wants to put $1000 more in a 2-year deposit than in a 1-year deposit and invest the rest in a 3-year deposit. how much money should he invest in each deposit?