Question

Find DE.









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Answer 1

DE=11

First, we can put our known knowledge about the diagram into an equation…

We can see DF, or the entire line is equal to the parallel line, 4x+2, so…

x+7+7=4x+2

Combine Like Terms,

x+14=4x+2

Subtract the two from both sides…

x+12=4x

Subtract the x from both sides…

12=3x

Divide by three on both sides…

4=x

Now you plug the 4 into the expression the represents DE…

So,

4+7=11

11 is your answer…

I hope this helped

Answer 2

Answer: B:11

Explanation:

If x+7+7 is equal to 4x+2, we can solve the equation:
`x+7+7=4x+2\\x+14=4x+2\\14-2=4x-x\\12=3x\\4=x\\`

Since DE is x+7, the answer is 11.