Examine rectangle JKLI , shown below. If JN=x+3 and JL=3x+1 determine which of the following values are correct.Select al/ that apply. NL=4 D JN=5 NM=8 KM=10 JL=16

To solve this problem, we need to use the properties of a rectangle. In a rectangle, opposite sides are equal in length, and the diagonals are also equal in length.Given:- - Since is a rectangle, we know that and .Now let's examine the given options one by one:1. Since is not a side of the rectangle and we don't have enough information about it, we cannot determine its length without additional information. Therefore, we cannot confirm this statement.2. If , then we can set and solve for : Now we can check if equals 16 when :\(JL = 3(2) + 1\) Since does not equal 16 when , the value does not satisfy the condition . Therefore, this statement is incorrect.3. Since is not a side of the rectangle and we don't have enough information about it, we cannot determine its length without additional information. Therefore, we cannot confirm this statement.4. If , then as well because they are opposite sides of the rectangle. However, we have , so we can set and solve for : Now we can check if equals 5 when : Since does not equal 5 when , the value does not satisfy the condition . Therefore, this statement is incorrect.5. If , then we can set and solve for : Now we can check if equals 5 when : Since does not equal 5 when , the value does not satisfy the condition . Therefore, this statement is incorrect.Based on the analysis above, none of the given values are correct.