The sentence "The captain pursed his lips and glanced meaningfully at his first officer, who looked concerned" is a compound-complex sentence.
It contains:
-
Two independent clauses:
- "The captain pursed his lips"
- "glanced meaningfully at his first officer"
-
One dependent (subordinate) clause:
- "who looked concerned" (which modifies "first officer")
This combination of independent and dependent clauses characterizes it as a compound-complex sentence.