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The centre of the rotation is A
The line of the reflection is Y
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in the fourth quadrant is triangle XYZ.
Learn more about reflection
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Answer:
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>- percent
- percentage words problem
- PEMDAS
- population:2500
- decreasing rate:3%
- the population after 11 years
according to the question
population decreases in 1 year
population will decrease in 11 years
- 75×11
- 825
so the population of the town after 11 years will be
2500-825
<h2>1675</h2>