RS=3X+1,ST=2x-2,And RT=64 Find The Vaule Of X ?
To find the value of x, we can start by finding the value of RS and ST using the given information.
Given:
RS = 3x + 1
ST = 2x - 2
RT = 64
Since RS + ST = RT, we can set up an equation:
(3x + 1) + (2x - 2) = 64
Combine like terms:
5x - 1 = 64
Add 1 to both sides:
5x = 65
Divide both sides by 5:
x = 13
So, the value of x is 13.
To find the value of x, we need to solve for it using the given information:
We are given that RS = 3x + 1, ST = 2x - 2, and RT = 64.
We know that the sum of the lengths of the segments in a line is equal to the length of the entire line. Therefore, we can write the equation:
RS + ST = RT
Substituting the given values:
(3x + 1) + (2x - 2) = 64
Now we can simplify the equation by combining like terms:
5x - 1 = 64
Next, we can isolate the variable x by moving the constant term to the other side of the equation:
5x = 64 + 1
5x = 65
Finally, we solve for x by dividing both sides of the equation by 5:
x = 65/5
x = 13
Therefore, the value of x is 13.
assuming R,S,T are collinear, we have
RS+ST=RT
so,
3x+1 + 2x-2=64
5x-1 = 64
5x=65
x=13