Answer:
R = 6
Step-by-step explanation:
Given the equation of the line is 2x - Ry = 30
We know that the equation of a line with a as x-intercept and b as y-intercept is 
Now convert the above given line to the standard form
Divide the line by 30 we get


Here the y-intercept is 30/R
Given y-intercept = 5

R = 6
<4= 150
<6=150
because the angels are parallel <4 & <2 are the exact same measurements and because 6 is perpendicular to <4 & <2 thus making it also 150 degrees
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
...........(1)

............(2)
...........(3)

...........(4)
Now we adding equation 2 and 4, we get the value of x.



Now we are putting the value of x in 4, we get the value of y.




Therefore, the value of x and y is 8 and 10 respectively.
Answer:
(x, y) --> (x + 14, y + 8)
Step-by-step explanation:
Look at 1 original point and its corresponding translated point.
Let's look at F and F'.
To go from F to F', you need to go right in x 14 units.
Then you need to go up in y 8 units.
The translation rule is to add 14 to x and 8 to y.
(x, y) --> (x + 14, y + 8)