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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 Attemptiout of RS=

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=

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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WalterMaster · Tutor for 5 years

Answer

### 4

Explain

## Step 1: Setting up the Equation<br />### The segment addition postulate states that if a point S lies on the line segment RT, then $RS + ST = RT$. We are given $RT = 5x - 4$, $ST = 3x$, and $RS = x$. Substituting these values into the equation gives us $x + 3x = 5x - 4$.<br /><br />## Step 2: Solving for x<br />### Combine like terms on the left side of the equation: $4x = 5x - 4$. Subtract $5x$ from both sides: $-x = -4$. Multiply both sides by -1 to solve for x: $x = 4$.<br /><br />## Step 3: Finding RS<br />### We are asked to find the numerical length of $\overline{RS}$. We know that $RS = x$. Since we found that $x = 4$, we can substitute this value to find $RS = 4$.
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