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Answer :

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Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the triangle proportionally. Here, the top segment on each half is double the length of the bottom one, (8 = 2·4), so ...

  x = 2·3

  x = 6

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If you like, you can write that as a proportion:

  x/3 = 8/4

  x = 3(8/4) = 3·2 . . . . . multiply by 3 to get x by itself

  x = 6