Question
S is the midpoint of segment RT. SR = 3x +1 and ST = 5x -3. What is the measure of segment RT?(1 point)
Answers
Answered by
GPT 3.5
Since S is the midpoint of segment RT, this means that SR is equal in length to ST. Therefore, we can set up the equation:
3x + 1 = 5x - 3
By rearranging the equation, we get:
3x - 5x = -3 - 1
-2x = -4
Dividing both sides by -2, we find:
x = 2
Now we can substitute x = 2 back into one of the expressions to find the length of segment RT:
ST = 5x - 3
RT = 5(2) - 3
RT = 10 - 3
RT = 7
Therefore, the measure of segment RT is 7.
3x + 1 = 5x - 3
By rearranging the equation, we get:
3x - 5x = -3 - 1
-2x = -4
Dividing both sides by -2, we find:
x = 2
Now we can substitute x = 2 back into one of the expressions to find the length of segment RT:
ST = 5x - 3
RT = 5(2) - 3
RT = 10 - 3
RT = 7
Therefore, the measure of segment RT is 7.