Which shows the pre-image of triangle x'y'z' before the figure was rotated 90° about the origin?

The last option.

Step-by-step explanation:

1. By definiton, the rotation rule 90° about the origin is:

(x,y)⇒(-y,x)

2. You know that the coordinates of triangle X'Y'Z' are the following:

X'(-2,2)

Y'(0,6)

Z'(1,1)

3. Now, when you apply the rule, you obtain that the coordianates of the pre-image are the following:

X(2,2)

Y(6,0)

Z(1,-1)

Therefore, the answer is the last option.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

fwms@lil_ben06

step-by-step explanation: