Answer:
VM = 15
Step-by-step explanation:
Given that line segment VM = 4x - 1
line segment MW = 3x + 3,
since M is the midpoint of VW, therefore:
VM = MW
Thus,
[tex] 4x - 1 = 3x + 3 [/tex]
Find the value of x
[tex] 4x - 3x = 1 + 3 [/tex]
[tex] x = 4 [/tex]
VM = 4x - 1
Plug in the value of x
[tex] VM = 4(4) - 1 = 16 - 1 = 15 [/tex]
VM = 15
