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Point S Is on Line Segment Overline (RT) Given RT=5x-4,ST=3x and RS=x Determine the Numerical Length of Overline (RS) Answer

Question

Point S is on line segment overline (RT) Given RT=5x-4,ST=3x and RS=x determine the numerical length of overline (RS) Answer Attemptiout of RS=

Solution

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Answer

### 4

Explanation

## Step 1: Setting up the Equation### The segment addition postulate states that if a point S lies on the line segment RT, then . We are given , , and . Substituting these values into the equation gives us .## Step 2: Solving for x### Combine like terms on the left side of the equation: . Subtract from both sides: . Multiply both sides by -1 to solve for x: .## Step 3: Finding RS### We are asked to find the numerical length of . We know that . Since we found that , we can substitute this value to find .