Simplify and solve each of the following equations.
a. 9h + 8 – 12 = –40
b. 9 + 6g + 1 = 100
c. –45 = 28 – 13 + 10b
d. 37 = 11 + 3b – 19

A. h = 4

B. g = 15

C. b = -6

D. b = 15

Step-by-step explanation:

A.  9h + 8 - 12 = -40

         9h - 4 = -40

              + 4    + 4

        9h = -36

       h = -4

B.  9 + 6g + 1 = 100

        10 + 6g = 100

      - 10            - 10

            6g = 90

            g = 15

C.  -45 = 28 - 13 + 10b

    -45 = 15 + 10b

    - 15  - 15

    -60 = 10b

    b = -6

D.  37 = 11 +3b - 19

     37 = 3b - 8

    + 8         + 8

     45 = 3b

     15 = b

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

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