Question
Suppose $S$ is between $R$ and $T$. Use the Segment Addition Postulate to solve for each variable.$$\begin{aligned}&R S=2 z+6\\&S T=4 z-3\\&R T=5 z+12\end{aligned}$$
Step 1
This means that the length of segment $RS$ plus the length of segment $ST$ is equal to the length of segment $RT$. This is known as the Segment Addition Postulate. So, we can write the equation: \[RS + ST = RT\] Show more…
Show all steps
Your feedback will help us improve your experience
Ashley High and 50 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose $S$ is between $R$ and $T$. Use the Segment Addition Postulate to solve for each variable. $$\begin{aligned} &R S=2 z+6\\ &S T=4 z-3\\ &R T=5 z+12 \end{aligned}$$
Suppose $S$ is between $R$ and $T$. Use the Segment Addition Postulate to solve for each variable. $$\begin{aligned} &R S=3 x+1\\ &S T=\frac{1}{2} x+3\\ &R T=18 \end{aligned}$$
Foundations for Geometry
Measuring and Constructing Segments
Suppose $S$ is between $R$ and $T$. Use the Segment Addition Postulate to solve for each variable. $$\begin{aligned} &R S=7 y-4\\ &S T=y+5\\ &R T=28 \end{aligned}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD