Suppose two angles in a coordinate plane, one measuring 80° and the other measuring 160°, were both rotated 180° about the origin and then translated 40 units down. Which of these would be a measure of one of the resulting angles? Select all that apply

120 and 40

Step-by-step explanation:

Given

Rotation = 180 degrees

Translation = 40 units down

Required

A measure of the resulting angles

180 degrees rotation

Rotation only affects the positioning of angles and does not change the measure of the angles.

So, the measure of both angles remain unchanged.

40 units down translation

This will reduce the measure of both angles by 40 degrees.

So:

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

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c