Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.
According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.
Let s and c be the rate of the boat in still water and the rate of the current, respectively. Then: 108/s-c=3 108/s+c=2 3s-3c=108 2s+2c=108 Solve for s and c ☺☺☺☺
