Eis the midpoint of df, de = 2x + 4, and ef = 3x + 1. find de, ef, and df.

The length of DE, EF and, DF are 10, 10, and 20 respectively.

The midpoint is a point on the line that bisects or divides such a line into two equal parts.

If E is the midpoint of DF, this means that point E divides the line DF into equal parts.

The following is therefore true

According to the first equation:

DF = 2x + 4 + 3x + 1

DF = 5x + 5

Based on equation 2:

DE = EF

2x  + 4 = 3x + 1

2x - 3x  = 1-4

-x = -3

x = 3

Get DE:

DE = 2x + 4

DE = 2(3) + 4

DE = 6 + 4

DE = 10

Since DE = EF

EF = 1

Get the measure of DF

DF = DE + EF

DF = 10 + 10

DF = 20

This shows that the length of DE, EF and, DF are 10, 10, and 20 respectively.

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5.5

step-by-step explanation: