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4 years ago

Given D,E, and F are collinear points, E is between D and F,

Mathematics

1 answer:

Vladimir [108]4 years ago

6 0

Answer:

<h3>72 units</h3>

Step-by-step explanation:

Given D,E, and F are collinear points and E is between D and F, then the expression DE + EF = DF.... 1 is true

If DE is six times the length of EF, then;

DE = 6DF

DF = DE/6 .....2

Substitute equation 2 into 1;

DE + EF = DF

DE + DE/6 = DF

find the LCM

(6DE+DE)/6 = DF

cross multiply

6DE+DE = 6DF

7DE = 6DF

Given DF = 84units

7DE = 6(84)

7DE = 504

Divide both sides by 7

7DE/7 = 504/7

DE = 72

Hence the length of segment DE is 72units

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Answer:

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