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olasank [31]
1 year ago
9

X = y = (3y + 2) 4x° 52°

Mathematics
1 answer:
antiseptic1488 [7]1 year ago
7 0

TO GET Y I WILL USE THE REASON SUM OF ANGLES IN A TRIANGLE:

52 + 90 +( 3y + 2) = 180  \\ 52 + 90 + 2 +3 y = 180 \\ 3y = 180 - 90 - 52 - 2 \\ 3y = 36 \\  \frac{3y}{3}  =  \frac{36}{3}  \\ y = 12

y=12°

TO FIND X I WILL USE THE REQSON ALTERNATE ANGLES

4x = 52 \\  \frac{4x}{4}  =  \frac{52}{4}  \\ x = 13

x=13°

THEE ANGLES ARE INSIDE THE PARALLEL LINES :NOTE.

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Step-by-step explanation:

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Step-by-step explanation:

Start by drawing out the triangle on the graph:

(See picture)

(By the drawing you can judge me that I am a really bad artist)

Theta and the side lengths are labeled, the hypotenuse has a length of √21 by Pythagora's theorem. Now, time to put everything to the trigonometric functions:

sin(x)=\frac{opp}{hyp}=\frac{5}{\sqrt{21}}=\frac{5\sqrt{21}}{21}\\cos(x)=\frac{adj}{hyp}=\frac{2}{\sqrt{21}}=\frac{2\sqrt{21}}{21}\\tan(x)=\frac{opp}{adj}=\frac{5}{2}\\csc(x)=\frac{hyp}{opp}=\frac{\sqrt{21}}{5}\\sec(x)=\frac{hyp}{adj}=\frac{\sqrt{21}}{2}\\cot(x)=\frac{adj}{opp}=\frac{2}{5}

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brainly.com/question/13564826

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