Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
Answer: 30 cards
Step-by-step explanation:
To find the greatest possible number of cards in each pile such that there is the same number of cards in each pile we need to find the greatest common factor of 750 and 660.
Using Euclid division method , we have

Hence, the greatest common factor of 750 and 660 = 30
Thus, there will be 30 cards in each pile.
Answer: 35 and 27
Step-by-step explanation:
We can solve this by using a system of equations
x will be the first number while y will be the second

This equation means the two numbers will add to get 62

This equation means when subtracted the two numbers will have the difference of 8.
Now I will solve by elimination

When adding the two equations why was eliminated so now we can find the value of x

Now sub in x into one of the original equations to find the value of y

Step-by-step explanation:
Hope it's help, study well goodluck!
Answer:
13
Step-by-step explanation: