Maththe coordinates of the vertices of quadrilateral abcd are a(−4, −1) , b(−1, 2) , c(5, 1) , and d(1, −3) .

calculate the slopes of the lines using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

(x₁, y₁ ) = A(- 4, - 1) and (x₂, y₂ ) = B(-1, 2 )

= = = 1

(x₁, y₁ ) = B(-1, 2) and (x₂, y₂ ) = (5, 1)

= = -

(x₁, y₁) = C(5, 1 ) and (x₂, y₂ ) = D(1, - 3)

= = = 1

(x₁, y₁) = A(- 4, - 1) and (x₂, y₂) = D(1, - 3 )

= = -

Quadrilateral ABCD is not a parallelogram since only one pair of opposite sides is parallel , that is AB and CD

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