The lines AB and CD are parallel .
GH is the transversal.
The angles marked 5x-10 and 4x+20 are alternate interior angles.
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
When the lines are parallel alternate interior angles are equal.
We can form an equation in x using this property.
5x-10=4x+20
We can solve the equation for x.
For this we bring the x term on one side .To bring x term on same side we subtract 4x both sides
5x-4x-10 =4x-4x+20
Simplifying like terms
x-10=20.
With x we have -10
Adding 10 both sides
x-10+10=20+10
x=30.
Option C is the right answer
Answer:
Option H. 
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values
Simplify
When x = -1
y + 5x = 6
y = 6 - 5x
y = 6 - (5)(-1)
y = 6 - (-5)
y = 11
when x = 0
y = 6 - 5x
y = 6 - (5)(0)
y = 6 - 0
y = 6
when x = 1
y = 6 - 5x
y = 6 - (5)(1)
y = 6 - 5
y = 1
