SHOW ALL WORK for all points law of cosine

The answer to your question is below

Step-by-step explanation:

1)

  ∠A     use rule of cosines

             cos A = (15² - 18² - 6²)/-2(6)(18)

             cosA = -135/-216

             cos A = 0.625

                    A = 51.31

  ∠B =   rule of cosines

         sinB/6 = sinA/ 15

         sinB = 6sin51.31/15

         sinB = 6(0.052)

         sinB = 0.31

             B = 18.19

  ∠C = 180 - 18.19 - 51.31

  ∠C = 110.5

2) HP² = 27² + 23² - 2(27)(23)cos85

    HP² = 729 + 529 - 108.25

    HP² = 1149.8

    HP = 33.9

    sinH/23 = sin85/33.9

    sinH = 23sin85/33.9

    sinH = 0.675

        H = 42.52

    P = 180 - 42.52 - 85

   P = 52.48

3) xz² = 12² + 29² - 2(12)(29)cos99

   xz² = 144 + 841 + 108.9

   xz² = 1093.9

   xz = 33

   sinx/12 = sin99/33

   sinx = 12sin99/33

   sinx = 0.36

       x = 21

   Z = 180 - 99 - 21

   Z = 60

4) cosP = (30² - 18² - 17²)/ -2(18)(17)

   cosP = 287/ -612

   cosP = -0.46

        P = 118

   sinQ/18 = sin118/30

   sinQ = 18 sin118/30

   sinQ = 0.529

        Q = 32°

R = 180 - 32 - 118

R = 30°

5) KH² = 9² + 20.1² - 2(9)(20.1)cos 88.4

   KH² = 81 + 404.01 - 10.1

   KH² = 474.9

   KH = 21.8

  sinH/9 = sin88.4/21.8

  sinH = 9sin88.4/21.8

  sinH = 0.412

      H = 24.37°

   K = 180 - 24.37 - 88.4

   K = 67.23°

6)   cos R = (6² - 9² - 14²)/-2(9)(14)

     cos R = -241/-252

     cosR = 0.956

           R = 17

     sinS/9 = sin17/6

     sinS = 9sin17/6

     sinS = 0.438

         S = 26°

     T = 180 - 26 - 14

     T = 140°

7)    cos C = (23.6² - 16.2² - 12.3²)/-2(16.2)(12.3)

      cosC = 143.23/-398.52

      cosC = -0.359

           C = 111°

      sinB/16.2 = sin111/23.6

      sinB = 16.2sin111/23.6

      sinB = 0.64

          B = 39.9

      A = 180 - 39.9 - 111

     A = 29.1°

8) cos B = (28² - 17² - 15²)/-2(15)(17)

    cos B = 270/-510

    cosB = -0,529

          B = 122°

sinA/17 = sin122/28

sinA = 17sin122/28

sinA = 0.514

    A = 31°

C = 180 -122 - 31

C = 27°

black lol

step-by-step explanation:

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i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: