In △abc a line segment de connects sides ab and bc so that de ∥ ac . the lengths of the sides of △dbe are four times shorter than the lengths of the sides of △abc. what is the area of △abc if the area of a trapezoid adec is 30cm^2?

  32 cm^2

Step-by-step explanation:

The sides of ∆DBE or 1/4 of the sides of ∆ABC, so its area is (1/4)^2 = 1/16 of the area of ∆ABC. The trapezoid's area is then 1 -1/16 = 15/16 of the total area of ∆ABC. Said another way, the area of ∆ABC is 16/15 times the area of the trapezoid.

  Area ∆ABC = (16/15)·(30 cm^2) = 32 cm^2

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.