Answer:
XM = 5.5
Step-by-step explanation:
Since MZ is the angle bisector of ∠YZM, then the following ratios are equal
[tex]\frac{ZY}{ZX}[/tex] = [tex]\frac{YM}{XM}[/tex]
substitute the given values into the equation
[tex]\frac{7}{11}[/tex] = [tex]\frac{3.5}{XM}[/tex] ( cross- multiply )
7XM = 38.5 ( divide both sides by 7 )
XM = 5.5
