3 years ago

An angle is inscribed in the circle as shown.

1 answer:

5 0

C. 55

The angle is half of the arc of the circle it cuts in the case 110/2= 55

You can prove this to yourself by knowing that all the circle arcs will always add to the full 360 of a circle, and then that the interior 3 angles of a triangle will always add to 180

So for this case 110+150+100=360
Becomes 55+75+50=180 for the triangle that would be created by the initial angle x

You might be interested in

Find cot θ if csc θ = negative square root of thirty seven divided by six and tan θ > 0.

Ket [755]

You can use the trigonometric identity $1+\cot^2{x}=\csc^2{x}$ .

$1+\cot^2{\theta}=(\frac{-\sqrt{37}}{6} )^2 \\ 1+\cot^2{\theta}=\frac{37}{36} \\ \cot^2{\theta}=\frac{1}{36} \\
\cot{\theta}=\frac{1}{6}$

The requirement that $\tan{\theta}\ \textgreater \ 0$ eliminates -1/6 from being another solution.

6 0

2 years ago

Can someone help me with question e please ?

MAXImum [283]

Answer:

Step-by-step explanation:

a) The domain is R- all real numbers.

b) The domain is R- all real numbers.

c) we need

$x^{2}-4\neq 0\\x^{2} \neq 4\\x\neq 2\\and\\x\neq -2$