Final answer:
To find x, we set up an equation where RS is equal to ST. By solving the equation, we find that the value of x is 1.
Step-by-step explanation:
To find the value of x, we can use the fact that S is the midpoint of segment RT. This means that the length of RS is equal to the length of ST. So, we can set up an equation:
RS = ST
7x - 3 = 3x + 1
To solve for x, we can start by subtracting 3x from both sides:
7x - 3x - 3 = 3x - 3x + 1
Combining like terms:
4x - 3 = 1
Next, we can add 3 to both sides:
4x - 3 + 3 = 1 + 3
Simplifying:
4x = 4
Finally, we can divide both sides by 4 to solve for x:
4x/4 = 4/4
x = 1
The student is given that S is the midpoint of segment RT. This means the lengths of RS and ST are equal. The length of RS is given as 7x-3, and the length of ST is given as 3x+1. To find the value of x, we set the two expressions equal to each other because the lengths are the same.
So we have the equation 7x - 3 = 3x + 1. To solve for x, we subtract 3x from both sides and add 3 to both sides to get 4x = 4. Dividing both sides by 4 will give us the value of x which is x = 1.