Answer:
x = 3, SR = 21
Step-by-step explanation:
R is the segment bisector of ST.
Therefore,
[tex]ST = 2 \times SR \\ 6x + 24 = 2 \times 7x \\ 6x + 24 = 14x \\ 24 = 14x - 6x \\ 24 = 8x \\ \frac{24}{8} = x \\ \huge \orange{ \boxed{ x = 3}} \\ SR = 7x = 7 \times 3 \\ \huge \red { \boxed{SR = 21}}[/tex]
