an artist uses a scale of 3 inches : 4 feet for a scaled drawing of a billboard. Find the dimensions of the billboard if the drawing measures 15 inches by 9 inches

20 feet by 12 feet

Step-by-step explanation:

15/3 = 5 · 4 = 20

9/3 = 3 · 4 = 12

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

well, because the $0.25 is an added cost depending on how many minutes, the answer would be y = 30 + 0.25x.