since line AB and CD make all right angles (given) angles 6+7+8 will equal 90 degrees.
According to the verticle angles rule:
angle 2 is equal to angle 6
angle 3 is equal to angle 7
angle 4 is equal to angle 8.
which proves that angle 2+4+7=90 degrees
4y/7 = 56
7x(4y/7) = 7x(56)
4y = 392
y = 98
Any unknown number in an equation you represent with a variable
Answer: First option.
Step-by-step explanation:
It is important to remember the definition of "Translation".
A Translation is defined as a transformation that moves every point of an object a determine distance in a given direction. In Translation, the shape and the size of the object do not change.
Then, given a point:
![(x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29)
Where "x" is the x-coordinate and "y" is the y-coordinate.
And given the following translation:
![(x+2,y-4)](https://tex.z-dn.net/?f=%28x%2B2%2Cy-4%29)
We can notice that:
- 2 units are added to the original x-coordinate. This indicates that the object must be moved 2 units to the right.
- 4 units are subtract from the original y-coordinate. This indicates that object must be moved 4 units down.