Answer:
7
Explanation:
RS is a segment part of a line and ST is also a line segment.
Given that the total segment (RT) is equal to 10, and two segments of this segment (RS) = 3x and (ST) = 6x + 1, we can add these two segments together and set them equal to the total length of the segment(10) (which combines these two segments (RS and ST).
Set it up:
(3x) + (6x + 1) = 10
Combine like terms:
(3x + 6x) + (1) = 10
9x + 1 = 10
-1 -1
9x = 9
/9 /9
x = 1
Now that we have the x-value, plug this in the expression that represents segment ST to get the length of ST.
ST = 6x + 1
Substitute "x" for 1:
ST = 6(1) + 1
ST = 6 + 1
ST = 7