There is a quadrilateral FGJK in which side FG is parallel to side JK and point H is the midpoint of side GJ and point L is the midpoint of side KF. The points H and L are joined together to form line segment HL. The length of side JK is 12 and the length of side FG is 2.5 times the length of side JK. What is HL?

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Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Use the given information to determine the exact trigonometric value.