Z is the centroid of △UVW. There is a triangle UVW in which X and Y are the midpoints of the side UV and side VW respectively. Segment UY and segment WX intersect each other at point Z.

What is ZX if WZ = x?

Step-by-step explanation:

Total students = 120

Number of students studying Mathematics P(A) = 90

Number of students studying Science P(B) = 72

Number of students who doesn't study both subjects P(AUB)'= 10

1) Number of students studying atleast on subject = 120 -10 = 110

2) Number of students studying both math and science = (90 +72) -110

                     = 162 -110 = 52

3) Number of students studying only mathematics = 90 -52 = 38

4) Number of students studying only science = 72 -52 = 20