5. Consider adjacent angles that measure (2x + 45) and (3x + 55)'. The sum of the measures of these angles is 135º.
a. Write and solve an equation to find the value of x. SHOW ALL WORK

b. using the value of x, what is the angle measure represented by the expression (2x + 45)?

The depth of a lake at a certain point, wich is a function of the distance of that point from shore, is 30 feet.

The total ticket sales for a high school basketball game were $2,260. the ticket price for students were $2.25 less than the adult ticket price. the number of adult tickets sold was 230, and the number of student tickets sold was 180. what was the price of an adult ticket?

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.