Geometry

The answer is B. 2x + 5 + x = 19.

1. Recall the segment - addition postulate:

The segment - addition postulate states that if a point  lies on a line segment , then .

2. Identify the lengths of the line segments from the given diagram:

From the diagram, we can see that , , and .

3. Apply the segment - addition postulate:

Substituting the values of

Click "Show Answer" to reveal the answer and analysis