19) If the formula P=0.5643Y - 1092.57 can be used to predict the average price of a theater ticket after 1945, for what years will the average theater ticket price be at least 50
dollars? (Y is the actual year.)
A) 2027 or after B) 2025 or after C) 2023 or after D) 2035 or after

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?

Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem