Question

Point T is on line segment \overline{SU} SU . Given ST=2x+6,ST=2x+6, TU=4,TU=4, and SU=4x,SU=4x, determine the numerical length of \overline{ST}. ST

Answer 1

Explanation:

ST = 16

Answer 2

Answer: The numerical length of
`\overline{SU}` is 20 units.

Explanation:

Given: Point T is on line segment
`\overline{SU}` .

i.e.
`\overline{SU}=\overline{ST}+\overline{TU}` (i)

Since , it is given that ST=2x+6,TU=4, and SU=4x

Substitute these values in (i), we get

`4x= 2x+6 + 4\\\\\Rightarrow\ 4x-2x=10\\\\\Rightarrow\ 2x=10\\\\\Rightarrow\ x=5`

Now, the numerical length of
`\overline{SU}= 4(5)=20\ units`

Hence, the numerical length of
`\overline{SU}` is 20 units.