Answer: I believe the correct answer is option D.
9514 1404 393
Answer:
- Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
- 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.
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<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.
Answer:
3/8ths of 680 kcal or 3 x 85 = 255 kcal.
Step-by-step explanation:
3/8ths of 680 kcal or 3 x 85 = 255 kcal.
For this case we have the following fractions:
We must rewrite the fractions, using the same denominator.
We have then:
We multiply the first fraction by 11 in the numerator and denominator:
We multiply the second fraction by 2 in the numerator and denominator:
Rewriting we have:
For the first fraction:
For the second fraction:
We note that:
Answer:
The fractions are not equivalent:
