Answer: The numerical length of [tex]\overline{SU}[/tex] is 20 units.
Step-by-step explanation:
Given: Point T is on line segment [tex]\overline{SU}[/tex] .
i.e. [tex]\overline{SU}=\overline{ST}+\overline{TU}[/tex] (i)
Since , it is given that ST=2x+6,TU=4, and SU=4x
Substitute these values in (i), we get
[tex]4x= 2x+6 + 4\\\\\Rightarrow\ 4x-2x=10\\\\\Rightarrow\ 2x=10\\\\\Rightarrow\ x=5[/tex]
Now, the numerical length of [tex]\overline{SU}= 4(5)=20\ units[/tex]
Hence, the numerical length of [tex]\overline{SU}[/tex] is 20 units.
