157k views
3 votes
S is the midpoint of segment RT and RS is 7x-3 and ST is 3x+1 What is X

User Esorton
by
7.9k points

1 Answer

7 votes

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.

User Irbis
by
7.7k points

No related questions found

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