The answers are 1/5,2/5,3/5,and 4/5
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:
The total amount Alex spent is $ 9
Step-by-step explanation:
The given parameters are;
The amount Alex spends on food = 2/3 of his paycheck
The amount Alex spends on coffee = $3
Therefore, we have;
Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p
The amount Alex spends on coffee = 1/3 of his paycheck
Therefore, we have;
1/3 × p = $3
p = 3 × $3 = $9
The total amount Alex spent = $ 9
The amount Alex spends on food = 2/3 × $9 = $6.
Answer: Triangle: x = 40 Line: x = 10
Explanation:
All angles of a triangle adds up to 180. So x + 50 + 90 (the square box represents a 90° angle) = 180
Simplify: x + 140 = 180
So x = 40°
A straight line is 180°
so 7x+110=180
7x= 70
x=10
