Is triangle vuw similar to triangle vxy? if yes, explain how you know. if no, explain why not.

Yes, because m<UVW is congruent with m<XVY and m<VUW is congruent with m<VXY

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are equal

In this problem

m<VXY=m<VUW > by corresponding angles

m<XVY=m<UVW > is the same angle

therefore

m<XYV=m<UWV > because the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangles VUW and VXY are similar by AA Similarity Postulate> The three internal angles are congruent

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