Answer:
57.8
Step-by-step explanation:
You have quadrilateral JKLM similar to quadrilateral NOPQ with given sides JK = 9, LM = 13.7, NO = 38, and you want the measure of PQ.
Proportion
Corresponding sides in similar figures are proportional in length:
PQ/LM = NO/JK
PQ/13.7 = 38/9
PQ = 13.7(38/9) = 2603/45 ≈ 57.8
The measure of PQ is approximately 57.8 units.
