There are 90 seats in the school auditorium. The school had a sold out show of their play last weekend, and made $315. The cost of a ticket for an adult was $5.00 and the cost of a ticket for a child is $2.50. Which system of equations could be used to determine the number of adults, a, and
the number of children, c, that attended the showing of the movie?

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap