Given:
The graph of triangle PQR and triangle P'Q'R'.
To find:
The transformation that will map the triangle PQR onto P'Q'R'.
Solution:
From the given graph it is clear that the triangle PQR is formed in II quadrant and its base lies on the negative direction of x-axis.
The triangle P'Q'R' is formed in IV quadrant and its base lies on the positive direction of x-axis.
This is possible it the figure is rotated 180 degrees about the origin.
Therefore, the correct option is A.
Step-by-step explanation:
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The difference between two numbers is 12. Three times the larger number is seven times the smaller. What are the two numbers?
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JEEW-M  | CERTIFIED EDUCATOR
Let us say the two numbers are x and y and x>y.
The data we have are;
Difference between the numbers are 12.
3 times larger number is equal to 7 times smaller number.
Then we can write;
 ----(1)
 ----(2)
From (1) we can say 
Then substituting  to (2) gives;




Then;


D. because when you multiply you move your numbers to the left and 1000 has 3 zeros meaning you will move your answer 3 times to the left .
hope you understand
good luck with your homework
Answer:
72
Step-by-step explanation:
Find the prime factorization of 18
18 = 2 × 3 × 3
Find the prime factorization of 24
24 = 2 × 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps above to find the LCM:
LCM = 2 × 2 × 2 × 3 × 3
LCM = 72
i hope this helps :)
