Let the third angle of the triangle be y.
y + 64° + 45° = 180° (angle sum of triangle is 180°)
x + y = 180° (angle of a straight line is 180°)
Notice that they both equal 180°. This means that they are the same thing, hence:
y + 64° + 45° = x + y
Since y = y, it is not necessary to write them down. Remove y from both sides of the equation:
64° + 45° = x
Surprise! exterior angle = sum of interior opposite angles.
I hope this clears up any confusion you might have. If not, feel free to leave a comment with your question.
When you substitute x with 2 you get 2(2)+2 so 4+2 is 6.
So when x is 2 y will be 6.
You can also see it in th diagram place your ruler on 2 in the x axis and you can see the lines passes through 6
Answer:
1. translation (x, y) --> (5, 1)
2. translation (x, y) --> (-5, -5)
Step-by-step explanation:
Pick any point and count how many units it moves in the x direction. That will be your value for x. Then count how many units it moves in the y direction. That will be your value for y. If the x or y direction the figure moves in is negative, then we will get a negative number. For translation one, I will pick point A. Point A moves 5 units to the right, the positive x direction, and one unit up, the positive y direction. Thus giving us the answer (5, 1). For the second translation, point A moves 5 units left, the negative x direction, and 5 units down, the negative y direction. Thus giving us the answer (-5, -5).
