ANSWER
Quadrant IV
EXPLANATION
The given point have the x-coordinate to be positive and the y-coordinate to be negative.
In general, the point P(x,-y) lies in the fourth quadrant.
The reason is that, this quadrant contains the positive x-axis and the negative y-axis.
See attachment for diagram.
Given:
The figure of a right angle triangle.
A line segment intersect the two sides and parallel to third side of the triangle
To find:
The value of x.
Solution:
According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.
Using basic proportionality theorem, we get
On cross multiplication, we get
Therefore, the value of x is 9.