In a vce external examination, 20% of the students failed physics, 15% of the students failed biology and 12% of the students failed both physics and biology. a student is selected at random. a) if she or he failed biology, what is the probability that she or he also failed physics? b) what is the probability that she or he failed physics or biology?

Which property is illustrated by the following statement? if hxa rgi, then rgi hxa.

The triangles are similar. what is the value of x? show your work.

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure acb onto itself? a coordinate plane with figure acb with point a at 1, 1, c at 3, 4 and b at 5, 1 yes, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) yes, a″c″b′ is located at a″(1, 1), c″(3, 4), and b″(5, 1) no, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) no, a″c″b″ is located at a″(1, 1), c″(3, 4), and b″(5, 1)