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

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

4.5

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