After applying the composition r0.90 ry to rs what are the coordinates of r1 and s1?

The coordinates of image are R'(1,3) and S'(5,3).

Step-by-step explanation:

From the given figure it is clear that the coordinates of the points R and S are R(-3,-1) and S(-3,-5).

The composition means the figure reflected across y-axis and then rotate 90 degree counterclockwise about the origin.

If a figure reflected across y-axis then

If a figure rotate 90 degree counterclockwise about the origin, then

Therefore the coordinates of image are R'(1,3) and S'(5,3).

answer: it's a

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.