Final answer:
To find the value of DE, we need to solve the equation DE = 6x. The given information tells us that DF = 13x - 3. We can set 6x equal to 13x - 3 and solve for x.
Step-by-step explanation:
To find the value of DE, we need to solve the equation DE = 6x. The given information tells us that DF = 13x - 3. Since DE and DF are equal, we can set 6x equal to 13x - 3 and solve for x.
6x = 13x - 3
Subtract 6x from both sides:
13x - 6x = 3
Combine like terms:
7x = 3
Divide both sides by 7:
x = 3/7
Now that we know the value of x, we can substitute it back into the equation DE = 6x to find the value of DE.
DE = 6(3/7)
Simplify:
DE = 18/7
In the given answer choices, DE is equivalent to 18/7, which is not listed. Therefore, the correct answer is None of the above.