Determine if each statement is true or false based on the diagram.

Step-by-step explanation:

1). JL = 36

   Reason : Since, PN is the segment joining midpoints of sides JK and LK,

   Therefore, JL = 2(PN)

   JL = 2(36)

   JL = 72

   False.

2). ML = 36

    Reason: Since, ML =

    ML =

          = 36

    True.

3). MP = 48.5

    Reason : By the same property, MP =

    MP =

    MP = 48.5

    True.

4). ∠JLK = 102°

    Reason: Segment joining midpoints of two sides of a triangle is parallel and measures half of the third side of the triangle.

     Since, PM║LK and JL is a transversal line,

     ∠JMP ≅ ∠JLK [Corresponding angles]

     m∠JLK = 102°

     True.

5). ∠PNK = 102°

    Reason : Since, PN║JL and LK is a transversal line,

    ∠JLK ≅ ∠PNK [Corresponding angles]

    ∠PNK = 102°

     True.

6). MP║PK

    Reason : MP and PK are intersecting each other at P.

    Therefore, they can not be parallel.

     False.

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

x coordinate is none

step-by-step explanation: