Respuesta :

Yna9141
To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,

    BY/YC = AX/XC

Substituting the known values,

    6/10 = 18/XC

The value of XC from the equation is 30. The answer is letter C. 

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

BY = 6, YC = 10, AX = 18,

Since we can use the Basic proportionality theorem which states that if a line is drawn i.e. XY parallel to one side of a triangle intersecting other 2 sides i.e. AC and BC, then it divides the two sides in the same ratio.

So,

[tex]\frac{CX}{AX}=\frac{CY}{BY}\\\\\frac{CX}{18}=\frac{10}{6}\\\\CX=\frac{18\times 10}{6}\\\\CX=3\times 10\\\\CX=30[/tex]

The value of CX= 30

Hence, Option 'C' is correct.