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21 votes
21 votes
If DF = 170, find the value of x. Then find DE and EF.
DE=3x + 20
EF=2x + 40

User Jezmck
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1 Answer

24 votes
24 votes

9514 1404 393

Answer:

DE = 86

EF = 84

Explanation:

We assume that point E lies on segment DF, so that ...

DE + EF = DF

(3x +20) +(2x +40) = 170

5x = 110 . . . . . . . . . . . . . . . collect terms, subtract 60

x = 22 . . . . . . . . . . . . divide by 5

DE = 3×22 +20 = 66 +20 = 86

EF = 2×22 +40 = 44 +40 = 84

User Hizqeel
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3.0k points