question\nvideo examples\nquadrilateral hijk is similar to quadrilateral lmno. find the measure of side ol…

question\nvideo examples\nquadrilateral hijk is similar to quadrilateral lmno. find the measure of side ol. round your answer to the nearest tenth if necessary.\nk 10 j\n7 h i\no 39 n\nl m

question\nvideo examples\nquadrilateral hijk is similar to quadrilateral lmno. find the measure of side ol. round your answer to the nearest tenth if necessary.\nk 10 j\n7 h i\no 39 n\nl m

Answer

Explanation:

Step1: Identify corresponding sides

Since quadrilaterals HIJK and LMNO are similar, their corresponding sides are proportional. Side KJ (length 10) corresponds to side NO (length 39), and side KH (length 7) corresponds to side OL (let's call its length ( x )).

Step2: Set up proportion

The proportion is (\frac{KJ}{NO}=\frac{KH}{OL}), so (\frac{10}{39}=\frac{7}{x}).

Step3: Solve for ( x )

Cross - multiply: ( 10x = 39\times7 ). Calculate ( 39\times7 = 273 ). Then ( x=\frac[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]