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

Question

3 years ago

5

of \overline{ST}. ST

2 answers:

vazorg [7] · Answer 1 · 2022-04-19T22:35:49+03:00

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

Step-by-step 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.

navik [9.2K] · Answer 2 · 2022-04-20T01:02:05+03:00

6 0

Answer:

Step-by-step explanation:

ST = 16