At her health club, Lauren uses a treadmill every two days in a week machines every eight days. See use a treadmill on March 2 Avenue and we will use the weight machines on March 8. Lauren says that the first time she will use both the treadmill and the weight machine in March is March 16 because of LCM of two and eight is 16. Does Lauren’s reasoning makes sense? Do you say example or a counter example to explain your analysis.

What are the measures of angles a, b, and c? show your work and explain your answers. 25 points

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.

Find the green sector if a = 45 and the circle has a radius of 10 inches