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Angle BDC is given as 38° but not drawn in the figure.  Amateurs.

We calculate angle DBC

DBC = 180° - 96° - 38°  = 180° - 134°  

We won't bother subtracting because we're really after

angle ABD = 180° - DBC = 134°

Now we have a Law of Cosines situation,

AD² = AB² + BD² - 2(AB)(BD) cos ABD

AD = √( 5.8² + 27.3² - 2(5.8)(27.3) cos 134°)

AD ≈ 31.61 m

31.6 m

x=half

step-by-step explanation:

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18