For what value of x is line m parallel to line n? enter your answer in the box. x = line m is parallel to line n. line m is above line n. a transversal line cuts both parallel lines. the obtuse upward right angle made by the transversal line with line m is labeled as 115 degrees. the acute downward right angle made by the transversal line with line m is labeled as 65 degrees. the acute downward right angle made by the transversal line with line n is labeled as left parenthesis 3 x plus 5 right parenthesis degrees.

The answer is that x = 20.
Lines m and n are parallel and angles on equivalent sides of a traversal of parallel lines are equal, therefore and as it is acute angle ( an angle that is less than 90°), So

3x + 5 = 65°

3x = 65 – 5

3x = 60

x= 20

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

step-by-step explanation:

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