Ricky draws a square . He claims that any rotation about the center of the square that is a multiple of 30 degrees will carry the square onto itself . Which statement best describes Ricky's claim ?

Option (a)

Step-by-step explanation:

This question is incomplete without statements; find the statements as followed,

a). Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.

b). Ricky's claim is incorrect since not all rotations that are multiples of 30 degrees carry a square onto itself.

c). Ricky's claim is correct since any rotation that carries a square onto itself is a multiple of 30 degrees.

d). Ricky's claim is correct since any rotation that is a multiple of 30 degrees carries a square onto itself.

Square ABCD will map onto itself when point A comes to B, C or D by a rotation about the center E with a multiple of measure of angle AEB.

m∠AEB = 90° [Diagonals of a square intersect each other at 90°]

In simpler words, if square ABCD is rotated 90° or it's multiple about the center E, square will overlap itself.

Therefore, Option (a) is correct.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: