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

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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