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triangle QRS maps to Triangle XYZ with a transformation (X,Y) -> (6X, 6Y) is QS=7 what is the length of XZ

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Final answer:

The length of XZ is 42 units.

Step-by-step explanation:

In the given problem, triangle QRS maps to triangle XYZ with a transformation (X,Y) -> (6X, 6Y). We are given that QS = 7 and we need to find the length of XZ.

Since the transformation multiplies the x-coordinate and y-coordinate of a point by 6, the side lengths of triangle XYZ are 6 times the corresponding side lengths of triangle QRS. Therefore, if QS = 7, then XZ = 6 * 7 = 42.

User SoWeLie
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Since QS equals 7 and its a dilation of 6, 7 times 6 equals 42.

Therefore, XZ equals 42.
User Henhesu
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