Given that Z is the centroid of a triangle RST. This means that Z is the point of intersection of the three medians of the triangle.
So,W is the midpoint of RSV is the midpoint of RT
We are given that:
RV = 4x + 3 and VT = 2x + 9
Since V is the midpoint, then:RV = VT
4x + 3 = 2x + 9
4x - 2x = 9 - 3
2x = 6
x = 3
Now put the value of x in WS = 5x-1
WS = 5x-1
WS = 5(3) - 1
WS = 15 - 1 = 14
WS = 14
Since W is the midpoint of RS,
therefore RW = WS
and WS = 14
Therefore:RW = 14