The point A (-7,5) is reflected over the line x = -5, and then is reflected over the line x= 2. What are the coordinates of A?
o (7, 19)
O (10,5)
(7,5)
(10, 19)

(7, 5) is the final reflection of the point.

Step-by-step explanation:

We are given point A(-7, 5) which is first reflected over the line .

The minimum distance of the point A(-7, 5) from the line is 2 units across the horizontal path (No change in y coordinate).

Point A lies 2 units on the left side of the line .

So, its reflection will be 2 units on the right side of .

Let its reflection be A' which has coordinates as (-5+2,5) i.e. (-3, 5).

Now A'(-3, 5) is reflected on the line .

The minimum distance of the point A'(-3, 5)  from the line is 5 units across the horizontal path (No change in y coordinate).

Point A' lies 5 units on the left side of the line .

So, its reflection will be 5 units on the right side of .

Let its reflection be A'' which has coordinates as (2+5, 5) i.e (7, 5) is the final reflection of the point..

Please find attached image.

(7, 5) is the final reflection of the point.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this