Respuesta :

The length of the segment DF is 11 units

How to determine the length of DF?

The given parameters are:

ED = 2y + 12

DF = 3y + 8

EF = 25

The length EF is:

EF =ED + DF

This gives

2y + 12 + 3y + 8 = 25

Evaluate the like terms

5y + 20 = 25

Subtract 20 from both sides

5y = 5

Divide by 5

y = 1

Substitute y = 1 in DF = 3y + 8

DF = 3(1) + 8

Evaluate

DF = 11

Hence, the length of DF is 11 units

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