If RS = 3x + 1, ST = 2x - 2, And RT = 64. What is the value of x.
3x + 1 + 2x - 2 = 64
5x -1 = 64 (the combined length of both line segments)
5x = 65
x = 13
To find the value of x, we can use the given information about the lengths of the line segments RS, ST, and RT.
We know that RS + ST = RT (by the Triangle Inequality Theorem). Let's substitute the given expressions for RS and ST into the equation:
(3x + 1) + (2x - 2) = 64
Now, we can simplify and solve for x:
5x - 1 = 64
5x = 65
x = 65/5
x = 13
Therefore, the value of x is 13.
To find the value of x, we will use the information given about the lengths of RS, ST, and RT.
We know that RS + ST = RT, based on the segment addition postulate.
Let's substitute the given values into the equation:
(3x + 1) + (2x - 2) = 64
Simplifying the equation, we combine like terms:
5x - 1 = 64
Next, add 1 to both sides of the equation to isolate the variable term:
5x - 1 + 1 = 64 + 1
Simplifying further:
5x = 65
To solve for x, divide both sides of the equation by 5:
5x/5 = 65/5
This simplifies to:
x = 13
Therefore, the value of x is 13.