Question

PLEASE HELP ME WITH NUMBER 10
Line n intersects line l and m forming the angles shown in the diagram below.

Which value of x would prove ### m?

Answer 1

Answer:

Step-by-step explanation:

For those 2 lines to parallel to each other, then the 2 angles have to be alternate interior and have to be congruent.  The value of x that makes them congruent is found by setting the 2 expressions equal to each other and solving for x:

$6x+42=18x-12$ and

$54=12x$ so

x = 4.5

Answer 2

Answer:

4.5

Step-by-step explanation:

The two angles are equal

This means that: 6x + 42 = 18x - 12

Rearrange the equation to get x on one side and the integers on the other.

42 + 12 = 18x - 6x

54 = 12x

54/12 = x

x = 9/2 = 4.5