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3 years ago

Please help me! I'm terrible at math

Mathematics

1 answer:

Hatshy [7]3 years ago

3 0

Answer:

(3.) x = 45

Step-by-step explanation:

Because the lines are parallel and cut by the same line, the angles within are equal as well.

Which means that...

Angle GE = Angle EFD

Therefore (2x-30) = (x + 15)

2x - 30 = x + 15

+30 +30 (add 30 to both sides to get rid of the -30)

2x = x + 45

-x -x (subtract x from both sides to get rid of the single positive x)

x = 45

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applying sine formula

$\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ$

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