229k views
0 votes
8. Find the value of x if S is between R and I. R = x + 3, ST = 5x, and RT = 57.

8. Find the value of x if S is between R and I. R = x + 3, ST = 5x, and RT = 57.-example-1

1 Answer

2 votes

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.

8. Find the value of x if S is between R and I. R = x + 3, ST = 5x, and RT = 57.-example-1
User Winifred
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories