S is the midpoint of segment RT. SR = 3x +1 and ST = 5x -3. What is the measure of segment RT?(1 point)
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.
Since S is the midpoint of segment RT, this means that SR is equal to ST.
Therefore, we can set up an equation:
3x + 1 = 5x - 3
Simplifying the equation, we get:
2x = 4
Dividing both sides by 2, we find:
x = 2
Now that we have the value of x, we can substitute it back into one of the original expressions to find the measure of segment RT.
Using SR = 3x + 1, we have:
SR = 3(2) + 1
SR = 6 + 1
SR = 7
Therefore, the measure of segment RT is 7.
To find the measure of segment RT, we need to find the value of x first. Since S is the midpoint of segment RT, we know that SR = ST.
Therefore, we can set up the equation SR = ST and solve for x:
3x + 1 = 5x - 3
To solve this equation, we need to isolate the x term. Let's begin by subtracting 3x from both sides:
1 = 2x - 3
Next, add 3 to both sides:
4 = 2x
Divide both sides by 2:
2 = x
So, we have found that x = 2.
Now that we know the value of x, we can substitute it back into either SR or ST to find the measure of segment RT. Let's use ST:
ST = 5x - 3
ST = 5(2) - 3
ST = 10 - 3
ST = 7
Therefore, the measure of segment RT is 7.