The problem provided in the image asks you to find $PR$ given the following two segments:

• $PQ = 6x + 25$
• $QR = 16 - 3x$

Since $P$, $Q$, and $R$ are collinear points, we can express $PR$ as:

$PR = PQ + QR$

Let's substitute the values for $PQ$ and $QR$:

$PR = (6x + 25) + (16 - 3x)$

Now, we can simplify the expression:

$PR = 6x + 25 + 16 - 3x$ $PR = 3x + 41$

Thus, $PR = 3x + 41$.

Would you like me to explain any part of this further, or go into details about solving for $x$ if more information is provided?

Here are 5 questions related to the topic:

1. How would you solve for $x$ if $PR$ were given a specific value?
2. How can you use the concept of collinearity to solve problems involving line segments?
3. What are the implications if $PR$ is negative?
4. How would you approach finding $x$ in a system where $PQ = QR$?
5. What are some real-world applications of this type of algebraic reasoning?

Tip: Always check the relationships between given segments (like addition of collinear segments) to ensure the equations are set up correctly.