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Answer:
DE = 14
Step-by-step explanation:
Since, DE is a Mid-segment of triangle ABC.
Therefore,
DE = 1/2 * AC
2 DE = AC
2(5x - 1) = 3x + 19
10x - 2 = 3x + 19
10x - 3x = 19 +2
7x = 21
x = 21/7
x = 3
DE = 5x - 1
DE = 5*3 - 1
DE = 15 - 1
DE = 14