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liberstina [14]
3 years ago
5

Show all work please

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0
Angles D and F are supplementary, so
.. (19x -26) +(7x -2) = 180
.. 26x = 208
.. x = 208/26 = 8

∠EFG = (7x -2)° = (7*8 -2)° = 54°

Selection C is appropriate.
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{ y = - 4x-23-4x-3y=13
sleet_krkn [62]

For this case we have the following system of equations:

y = -4x-23\\-4x-3y = 13

We solve by the substitution method:

We substitute the first equation in the second equation:

-4x-3 (-4x-23) = 13

We apply distributive property considering that - * - = +:

-4x + 12x + 69 = 13\\8x + 69 = 13

We subtract 69 from both sides of the equation:

8x = 13-69\\8x = -56

We divide by 8 on both sides of the equation:

x = \frac {-56} {8}\\x = -7

We look for the value of the variable y:

y = -4 (-7) -23\\y = 28-23\\y = 5

Thus, the solution of the system is (x, y): (-7,5)

Answer:

(x, y): (-7,5)

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