Answer :
When hexagon IJKLMN is dilated by a scale factor of two fifths from the origin to create hexagon I'J'K'L'M'N', the ordered pair of point L is A. (0.4, 0.8).
How to depict the information?
Dilation us a form of transformation where the figure is stretched by a scaling factor. The ordered pair of point L will be:
= (2/54/5)
= (0.4, 0.8)
When pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O'P'Q'R'S', the ordered pair of point Q' will be:
= (2 × 1.75), (5 × 1.75)
= (3.5, 8.75)
The dimensions of the television will be:
= (3/2 × 12), (3/2 × 24)
= (18, 36)
The dimensions are 18 by 36 inches.
The length of the segment will be:
20/35 = GA/14
GA = (20 × 14)/35
GA = 280/35
GA = 8
The length is 8 inches.
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