Final answer:
To find the value of x given that line f is parallel to line g, we set the provided angle expressions '3x' and '6x-45' equal to each other and solve for x. The solution is x=15.
Step-by-step explanation:
The student is asked to find the value of x given that line f is parallel to line g. Since no diagram is provided, we must rely on the provided equations '3x' and '6x-45' which likely represent angle measures. Because the lines are parallel, corresponding angles would be equal. Thus, we can set the two expressions equal to each other to solve for x:
3x = 6x - 45
Moving all terms involving x to one side:
3x - 6x = -45
Combine like terms:
-3x = -45
Dividing both sides by -3 gives us:
x = 15
The correct value of x is 15.