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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?

PLEASE HELP ME WITH NUMBER 10 Line n intersects line l and m forming the angles shown-example-1

2 Answers

5 votes

Answer:

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

User Werediver
by
7.0k points
4 votes

Answer:

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

User JalalJaberi
by
8.0k points