Answer:
ST = 4
Step-by-step explanation:
RS + ST = RT, substitute values
3x - 8 + x = 2x, that is
4x - 8 = 2x ( subtract 2x from both sides )
2x - 8 = 0 ( add 8 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus ST = x = 4
The numerical length of [tex]ST[/tex] is [tex]4[/tex].
Given:
Point [tex]S[/tex] is on the line segment [tex]RT[/tex].
[tex]RT=2x,RS=3x-8,ST=x[/tex]
To find:
The numerical length of [tex]ST[/tex].
Explanation:
It is given that the point [tex]S[/tex] is on the line segment [tex]RT[/tex]. Using the segment addition property, we get
[tex]RT=RS+ST[/tex]
[tex]2x=(3x-8)+x[/tex]
[tex]2x=4x-8[/tex]
Isolate the variable terms.
[tex]2x-4x=-8[/tex]
[tex]-2x=-8[/tex]
[tex]\dfrac{-2x}{-2}=\dfrac{-8}{-2}[/tex]
[tex]x=4[/tex]
It is given that [tex]ST=x[/tex]. So, the numerical length of [tex]ST[/tex] is [tex]4[/tex].
Learn more:
https://brainly.com/question/17948403
