Draw a line from point Q to point A. Then draw another line segment from point Q to point A'. These lines are marked in red in the attached image (figure 1). Notice we have a 90 degree angle form. To go from A to A', we rotate 90 degrees counterclockwise (green angle in figure 2). Or we can rotate 270 degrees clockwise (gray angle in figure 2).
So that's why the two answers are:
choice B) 90 degrees counterclockwise
choice D) 270 degress clockwise
Side Note: the other points (B, C, and D) will follow a similar rotation path compared to point A. Either rotate those preimage points 90 degrees counterclockwise or 270 degrees clockwise so they match with their respective image points. All rotations are done around point Q.
Reduce a 24 cm by 36 cm photo to 3/4 original size.
The most logical way to do this is to keep the width-to-height ratio the same: It is 24/36, or 2/3. The original photo has an area of (24 cm)(36 cm) = 864 cm^2.
Let's reduce that to 3/4 size: Mult. 864 cm^2 by (3/4). Result: 648 cm^2.
We need to find new L and new W such that W/L = 2/3 and WL = 648 cm^2.
From the first equation we get W = 2L/3. Thus, WL = 648 cm^2 = (2L/3)(L).
Solve this last equation for L^2, and then for L:
2L^2/3 = 648, or (2/3)L^2 = 648. Thus, L^2 = (3/2)(648 cm^2) = 972 cm^2.
Taking the sqrt of both sides, L = + 31.18 cm. Then W must be 2/3 of that, or W = 20.78 cm.
Check: is LW = (3/4) of the original 864 cm^2? YES.
Answer:
x = 22, and im rlly sry, i dont know how to solve for y...im sry...
Step-by-step explanation:
180 - 55 = 125 degrees
so
6x - 7 = 125
<u> +7 +7</u>
6x = 132
divide by 6
<u>x = 22</u>
Yes it could have more because a composite# is a number that can be divodee it numbers more then it self
Answer:
Option D is correct.
Step-by-step explanation:
Let V be the volume of hay in each stack
Given:
Length of the each stack is 
And Jay stores hay in cubic stacks on his farm.
The volume of the cone is.
Now, we substitute value of length of stack in above equation.
Therefore, the volume of hay in each stack is
