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:
a) 
, 
, b) , , c) 
, 
.
Step-by-step explanation:
The equation of the circle is:
After some algebraic and trigonometric handling:
Where:
Finally,
a) , .
b) , .
c) 
, 
Where:
The solution is 
The parametric equations are:
Answer:
Step-by-step explanation:
From the question we are told that
Mean 
Standard deviation 
Percentage for men =99.75%
Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean
Standard deviation n= 9
Mean x= 120
Generally the interval of systolic blood pressure for middle 99.7 of male G is mathematically given as
Real world example could be:
Consider x is time in minutes
Consider y is the amount of fish food required in grams
The equation could then represent how much food (in grams) that a fish needs to be fed x minutes after it was previously fed.
Answer:
A number, such as 10 is a composite number because it is even.
