What is m(angle)GHI?

GFI = GI arc ==》 GI arc = x + 42

GHI = GI arc ÷ 2

==》 x - 9 = ( x + 42 ) ÷ 2

Multiply both sides by 2

==》2 × ( x - 9 ) = 2 × ( x + 42 / 2)

==》 2x - 18 = x + 42

Add both sides 18

==》 2x - 18 + 18 = x + 42 + 18

==》 2x = x + 60

Subtract both sides x

==》 2x - x = x - x + 60

==》 x = 60

GHI = x - 9

GHI = 60 - 9

GHI = 51

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{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1