Complete the process of solving the equation.
1 answer:
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Answer:
EF is 16.
Step-by-step explanation:
So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:
We are given that DE is 2x, EF is 2x-6, and DF is 3x+5. So, substitute:
Now, solve for x.
On the right, combine like terms:
Subtract 4x from both sides:
Subtract 5 from both sides:
Divide both sides by -1:
Now that we know x is 11, substitute this back into the equation for EF to find EF.
Substitute 11 for x:
Multiply:
Subtract:
And we're done!
