triangle rst has vertices r(−2, 2), s(1, 1), and t(−1, −3). find the coordinates for the image of each vertex for the given rotation.

r(90°, 0) (triangle rst)

a.
r'(−2, −2), s'(−1, 1), and t'(3, −1)
b.
r'(−2, 2), s'(1, −2), and t'(3, 1)
c.
r'(2, 2), s'(−1, −1), and t'(1, −3)
d.
r'(−2, 2), s'(1, −1), and t'(3, 1)

A. and

Step-by-step explanation:

Given:

Vertices of triangle RST are and .

Rotation is 90° about the center O(0,0). The rotation is counter-clockwise as the angle of rotation is positive.

Now, the co-ordinate rule for 90° rotation counter-clockwise is given as: →

and values interchange their places with becoming negative when interchanged.

So, →

→

→

⇒ →

Therefore, the image of the vertices are and .

answer: 298143

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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