Given parallelogram P
A
R
K
:

Prove graphically and algebraically that a clockwise rotation of
270
°
about the origin has an equivalent counterclockwise rotation. In your final answer, name the equivalent counterclockwise rotation and show all of your work. On your graph, label the following:

parallelogram
P
A
R
K
and the coordinates of all four of its vertices
parallelogram
P
′
A
′
R
′
K
′
and the coordinates of all four of its vertices
center of rotation and its coordinate
the invisible circle of rotation, its radius and the length of the radius
use arrows to show the clockwise movement of the parallelogram

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

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.

c. 1,233 miles