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.
The investment with the bigger return is investment B.
<h3>What is simple interest and compound interest?</h3>
Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued. This differs from compound interest where the debt holder pays interest on the principal and the interest rate already accrued
<h3>What is the compound interest?</h3>
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
2000 x (1.06)^12 = $4024.39
Compound interest = $4024.39 - $2000 = $2024.39
<h3>What is the simple interest? </h3>
Simple interest = principal x time x interest rate