Triangle Similarity Day 4- Overlapping triangles
Solve for x. Remember to draw two triangles and set up the proportion.

x = 16

Step-by-step explanation:

The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.

Thus, ∆ABC ~ ∆EFG. Therefore:

AB = 12 + 3 = 15

EF = 12

AC = x + 4

EG = x

Plug in the values into the equation

Cross multiply

Subtract 12x from each side

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

468

step-by-step explanation: