The answer to this question is true
(a) The Rectangles are similar because all angles of all rectangles are equal to 90°. Then, the corresponding sides have the equivalent ratio equal to k.
(b) The perimeter of the rectangle is the sum of the measurements of all sides. Such that for Rectangle 1, it should be.
Perimeter (Rectangle 1) = 2x + 2y
Then for rectangle 2,
Perimeter (Rectangle 2) = 2kx + 2ky = k (2x + 2y)
= k(Perimeter of rectangle 1)
c. Area of rectangle is the product of the lengths of two sides, (x)(y). For Rectangle 2, that would be (kx)(ky) = k²xy
The tangent trigonometric function is equal to the quotient of sine and cosine through the trigonometric identity. In this case, we are given with x = 9 tan (theta). Hence the answer to this problem is the expounded algebraic expression x = 9 sin (theta) / cos (theta).
It’s all multiples of 3 so ya
