Question

8. Find the value of x if S is between R and I. R = x + 3, ST = 5x, and RT = 57.

Answer 1

We are given the following segment:

Since the total length of the segment is RT and "S" is between R and T this means that the sum of RS and ST must be RT, therefore, we have:

`RS+ST=RT`

Now, we substitute the values of each segment:

`x+3+5x=57`

Now, we add like terms:

`6x+3=57`

Subtracting 3 from both sides:

`\begin{gathered} 6x+3-3=57-3 \\ 6x=54 \end{gathered}`

now, we divide both sides by 6:

`x=(54)/(6)=9`

Therefore, the value of "x" is 9.