The volume of one pyramid pop is 19.5
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Part A
Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis
Part B
Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°
Part C
Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:
- First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
- First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points
Part D
Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.
The system of equations to solve for the unknowns is , and
<h3>How to determine the system of equations?</h3>
The given parameters are:
Start by opening the brackets
This gives
Next, collect the like terms
Next, compare both sides of the equation.
This gives
Lastly, cancel out the variable x
Hence, the system of equations to solve for the unknowns is , and
Read more about partial fraction at:
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Answer:
122
Step-by-step explanation:
11x-65+58=180. The 58 comes from adding 29+29=58. You do this because there are two 29 due to it being an isosceles triangle meaning there are two sides equal.
Add your a like terms
11x-7=180
11x=180+7
11x=187
x=17
Plug the 17 in for 11x-65
11*17-65=122
You can change yourself by adding 29+29+122=180. You know this right because all triangles add to 180. '
If you have any question let me know (:
120 because of course 1 can go into anything, 2 would be 60, 3 would be 40, 4 would be 30 and 5 would be 24