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AlladinOne [14]
3 years ago
11

9.

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
7 0

Answer:

the answer is 18 cm

Step-by-step explanation:

inn [45]3 years ago
7 0

Answer:

15cm

Step-by-step explanation:

Since BC is like ST but smaller, we have to find the length of BC then find the proportion for ST.

Length of BC = 36.8 - 4.4 - 13.2 - 2.2 - 11

                      = 6

Scale = \frac{33}{13.2}

Length of ST = \frac{33}{13.2} × 6

                      = 15

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Give two different sequences of three transformations that would map PQR onto EFG given that PQR=EFG.
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Answer:

  1. Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
  2. Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

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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Answer:

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