The saxena family plans to install a light to illuminate part of their rectangular yard. nikki and dylan each proposed a different spot to place the light. the proposed placements and the lit area that each produces are shown below. 27,5ft 38ft 60ft and 16.5ft 38ft 60 ft how do nikki’s and dylan’s proposals compare? check all that apply. nikki’s proposed placement will light a greater area than dylan’s placement. dylan’s proposed placement will light a greater area than nikki’s placement. both proposed placements will light the same sized area. nikki’s proposed placement will light more than half the yard. dylan’s proposed placement will light more than half the yard. dylan’s proposed placement will light exactly half of the yard. nikki’s proposed placement will light less than half of the yard.

a

step-by-step explanation:

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a) is $10.34

b) is 6 toppings

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