Two farmers, A and B, share a corn storage bin. The bin is full of corn with 40% from Farmer A's crop and 60% from Farmer B's crop. Farmer A produced 35% yellow corn, and Farmer B produced 10% yellow corn this year. (a) Suppose that one kernel of corn is randomly selected from this bin. What is the probability that it is yellow? (b) Given that the kernel is yellow, what is the probability that it came from Farmer A's produce?

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft