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Find the measure of DF given that DE = 8x - 2,
EF = 4x + 7, and DF = 15x - 6.

Find the measure of DF given that DE = 8x - 2, EF = 4x + 7, and DF = 15x - 6.-example-1

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Answer

49

DF = DE + EF

8x - 2 + 4x +7 = 15x -6

12x +5 = 15x-6

-3x = -11

X = 11/3

DF = 15×11/3 -6

= 49

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