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GrogVix [38]
3 years ago
11

Evaluate the expression when x=1/3 and y=-7/43x+y​

Mathematics
2 answers:
dolphi86 [110]3 years ago
4 0
Answer) -3/4 or decimal form -0.75
Olin [163]3 years ago
3 0
-3/4 or -0.75 (if in decimal)
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The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

__

<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

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