The first thing we must do for this case is to define variables: We have then: x: liz's age y: melinda's age We now write the system of equations: By solving the system graphically we have that the age of each one is currently: Next year, the age of liz is: Answer: Next year, Liz's age is 11 years. Note: see attached image for the graphic solution.
now, you can pretty much count the units off the grid for the segments ST and RU, so each is 7 units long, and are parallel, meaning that the other two segments are also parallel, and therefore the same length each.
so we can just find the length for hmmmm say SR, since SR = TU, TU is the same length,