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3 years ago

Find X. Please break down the steps if possible

Mathematics

1 answer:

labwork [276]3 years ago

5 0

Answer: x = 17.5

Step-by-step explanation:

All expressions for the angles as a whole must equal 180 because it is on a line.

so we need to set all the expressions equal to 180 then solve.

4x+2x+30+2x+10=180

combine like terms

(4x+2x+2x) + (30+10) =180

8x + 40 = 180

now subtract 40 from each side

8x=140

isolate the x by dividing each side by 8

x = 17.5

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Step-by-step explanation:

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$\therefore \: ( - 5 \: - 12) = (x \: y) \\ r = \sqrt{ {x}^{2} + {y}^{2} } \\ = \sqrt{ {( - 5)}^{2} + {( - 12)}^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} \\ r= 13 \\ \\ \sin \theta = \frac{y}{r} = - \frac{12}{13} \\ \\ \cos \theta = \frac{x}{r} = - \frac{5}{13} \\ \\ \tan \theta = \frac{y}{x} = \frac{ - 12}{ - 5} = \frac{12}{5} \\ \\ \csc \theta = \frac{r}{y} = - \frac{13}{12} \\ \\ \sec \theta = \frac{r}{x} = - \frac{13}{5} \\ \\ \cot \theta = \frac{x}{y} = \frac{ - 5}{ - 12} = \frac{5}{12}$

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