The co ordinates of P' is (-7,-2) and Q' is (-16, -8)
<u><em>Explanation</em></u>
PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.
According to the graph, the coordinates of P is (-7, -2) and Q is (2, 4)
When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>
Suppose, the co ordinate of Q' is (x, y)
Now according to the mid-point formula, the coordinate of P or P' will be:
, which is actually at (-7, -2)
Thus.....

So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)
The flags are a translation. Both flags are located at different origins, so it couldn't be a rotation. Both flags have the colors in the same place ( black on the bottom, white on the top) so one flag was moved up or down from the other flag, which is a translation.
Surface area will consist of:
2 triangles, 3 rectangles:
Solving for triangles:
A=1/2bh
A=1/2(120)
A=60
60*2 gives us the surface area of both triangular sides.
Solve for rectangles:
(17*20)+(8*20)+(15*20)
(340)+(160)+(300)
(800)
800+120=920
The surface area of the prism is 920 square feet
Answer:
She sold 10 cups per hour
Step-by-step explanation:
To find the number per hour, divide the total sold by the total number of hours.
20 cups/2 hours = 10 per hour