Answer:
x = 5 , ST = 26
Explanation:
since S lies between R and T , then
RT = RS + ST ( substitute values )
8x = 14 + 4x + 6 ( simplify right side )
8x = 4x + 20 ( subtract 4x from both sides )
8x - 4x = 4x - 4x + 20 ( simplify both sides )
4x = 20 ( divide both sides by 4 )
x =
, that is
x = 5
Then
ST = 4x + 6 = 4(5) + 6 = 20 + 6 = 26