, 24.01.2020MJyoungboy

# Dis the midpoint of ef. ed = 4x + 6 df = 7x -9 find ef.

I'm assuming you meant to write instead... If so,

Because  is the midpoint of  must equal

Set the two equal to each other and solve for ...

Now plug  in for  in either or .

or

Now we know half of the length of  Multiplying  by  will give us the full length, which is

The line segment EF=11x-3

Step-by-step explanation:

Given that D is the midpoint of EF , ED=4x+6  and DF=7x-9

To find the EF :

Let EF is a line segment  and D its midpoint(given)

EF=ED+DF

=(4x+6)+(7x-9)

=4x+6+7x-9 ( adding the like terms )

=11x-3

Therefore EF=11x-3

Therefore the line segment EF=11x-3

The line segment EF=11x-3

Step-by-step explanation:

Given that D is the midpoint of EF , ED=4x+6  and DF=7x-9

To find the EF :

Let EF is a line segment  and D its midpoint(given)

EF=ED+DF

=(4x+6)+(7x-9)

=4x+6+7x-9 ( adding the like terms )

=11x-3

Therefore EF=11x-3

Therefore the line segment EF=11x-3

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