Question

Find the lengths of DE and EF. Note: Segments BC and DF are parallel

Answer 1

Answer:

C

Step-by-step explanation:

Given that Segments BC and DF are parallel, then the following proportion must be satisfied:

BE/EC = DE/EF

Replacing with data from the picture:

3/5 = (5x - 4 + 3)/(5 + 4x + 2)

3*(7 + 4x) =  (5x - 1)*5

21 + 12x = 25x - 5

21 + 5 = 25x - 12x

26 = 13x

x =  2

Then,

DE =  5x - 4 + 3 = 5(2) - 4 + 3 = 9 cm

EF = 5 + 4x + 2 = 5 + 4(2) + 2 = 15 cm

Answer 2

Answer:

the answer is c

Step-by-step explanation:

you have to create a proportion ( it being 5x-4/3=4x+2/5) then after you cross multiply from that proportion you plug in x. and don't forget to add the other part of the triangle as well.