Answer:
12
Step-by-step explanation:
∵ B is the centroid of ΔVWX
∴A is the mid-point of XV
∴2x + 1 = x + 3
∴2x - x = 3 - 1
∴x = 2
∵BV = 3x + 2
∴BV = 3(2) + 2 = 8
∵B is the centroid of Δ VWX
∴B divides ZV to the ratio 2 : 1 from the vertex V
∴BV = 2/3 ZV
∴[tex]8=\frac{2}{3}ZV[/tex]
∴ [tex]ZV=\frac{3}{2}(8)[/tex]
∴[tex]ZV = \frac{24}{2} =12[/tex]
