Given: nm ∥ xz prove: △xyz ~ △nym we know that side nm is to side xz. if we consider side ny the transversal for these parallel lines, we create angle pairs. using the , we can state that ∠yxz is congruent to ∠ynm. we know that angle xyz is congruent to angle by the reflexive property. therefore, triangle xyz is similar to triangle nym by the similarity theorem.

The boiling point of water at an elevation of 0 feet is 212 degrees fahrenheit (°f). for every 1,000 feet of increase in elevation, the boiling point of water decreases by about 2°f. which of the following represents this relationship if b is the boiling point of water at an elevation of e thousand feet? a) e = 2b - 212 b) b = 2e - 212 c) e = -2b + 212 d) b = -2e + 212