Answer: The value of x is 22 units.
Step-by-step explanation:
Since we have given that
△FSB∼△ZDR
So, By Similarity theorem, the ratio of corresponding sides must be equal.
So, it becomes
[tex]\frac{SF}{BF}=\frac{DZ}{ZR}\\\\\frac{38}{55}=\frac{15.2}{x}\\\\38\times x=15.2\times 55\\\\x=\frac{15.2\times 55}{38}\\\\x=22[/tex]
Hence, the value of x is 22 units.
