The value of
is 4.
By Geometry, we know that line segment
, which is equivalent to:

(1)
Now we solve algebraically the resulting expression.
If we know that
, then we solve the equation for
:



The value of
is 4.
We kindly invite to see this question on line segments: brainly.com/question/23297288
Any point in that shaded area is a solution
(0,0) is a solution
(-1,-1) is a solution
(-3,3) is a solution
etc
1627190 there's your answer.