Point E is between segment DF. The length of DE is 3x - 1, EF is 13 and DF is 6x, find DF.

Mathematics

1 answer:

irina1246 [14]3 years ago

4 0

Answer:

The correct answer to this problem is x = 4.

Step-by-step 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!

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