Final Answer:
The value of kl is 4.
Step-by-step explanation:
In the given equation "kl parallel mn," we are given that nm is equal to 52. Since kl is parallel to mn, it implies that kl and mn are similar triangles, meaning their corresponding sides are in proportion.
Now, let's denote the length of kl as k and the length of mn as m. The given value nm = 52 tells us that the corresponding sides k and m are in the ratio of 1:2, as k:m = 1:2. To find the value of kl, we need to consider both sides of the ratio. If we set k as 1, then m would be 2. Therefore, the value of kl is 1 * 4 = 4.
In summary, since kl is parallel to mn and nm = 52, the length of kl is 4. This result is obtained by understanding the proportional relationship between the corresponding sides of similar triangles kl and mn, as indicated by the given parallelism.