In this unit, you studied a handful of circle theorems. Research to find a circle theorem that wasn’t presented in this unit and describe it in detail. Then write either a two-column proof or a paragraph proof for the theorem. Does the theorem that you proved relate to theorems that you previously studied? If so, how? How might your theorem be used in a real-world application?

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.