Alice wants to make a trail mix of nuts and dried fruit she has 6/7 pounds of peanuts and one over 1/4 pound dried cranberry she purchases 1/ 6 pounds of almonds and 7/12 pounds of raisins to mix with the peanuts and cranberries after mixing the four ingredients how many pounds of nuts and how many pounds of dry fruit where they will be in the trail mix

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146

step-by-step explanation:

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