If triangle ABC is rotated 90 degrees counterclockwise about point P to form triangle DEF, then line AB will have the same length as what line segment A. DF B. EF C. DE.

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

Which value would be a solution for x in the inequality 47-4x< 7

Pranza plotted point a in the coordinate plane below.