Answer:
The correct answer to this problem is x = 4.
Explanation:
To solve this problem, we can set up an equation using the given information. We know that Point E lies along the segment DF, so we can write:
DE + EF = DF
Now, we can substitute the values given into our equation.
(3x-1) + (13) = 6x
The next step is to eliminate the parentheses and combine like terms on the left side of the equation.
3x - 1 + 13 = 6x
3x + 12 = 6x
Next, we should subtract 3x from both sides to move all of the variable terms to the right side of the equation.
12 = 3x
Finally, we can divide both sides by 3, in order to completely isolate the variable x on the right side of the equation.
4 = x
Therefore, the correct answer is x = 4.
Hope this helps!