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Answer :

The length of the base of the triangle of the dilation is equal to 3 + 6 = 9 units.

The length of the base of the triangle of dashed line triangle is equal to 3 units.

Divide the length of the dilated side to the orignal figure.

[tex]9\div3=3[/tex]

Therefore, the scale factor of the dilated image is 3.