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Lines m and n are parallel. Find the value of x.

(3x - 1)
(2x + 44)
X=

A. 15
B. 14
C. 13
D. 12

1 Answer

1 vote

Final answer:

To find the value of x, set the expressions (3x - 1) and (2x + 44) equal, and solve for x. The value of x is 45.

Step-by-step explanation:

To find the value of x, we need to set the expressions (3x - 1) and (2x + 44) equal and solve for x. Since lines m and n are parallel, their corresponding angles are equal. This means that (3x - 1) and (2x + 44) are alternate interior angles, so they must be equal. Set up the equation: (3x - 1) = (2x + 44).

Next, solve for x:

3x - 1 = 2x + 44

Subtract 2x from both sides: x - 1 = 44

Add 1 to both sides: x = 45

So, the value of x is 45.

User Tsauerwein
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