The value of x in the triangle is (a) 22
<h3>How to solve for x?</h3>
The complete question is in the attached image.
From the attached image of the triangle, we have:

Evaluate sin(45)

Solve for x

Divide
x = 22
Hence, the value of x is (a) 22
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Two hours ! i think i'm not good at many
Now, the cosecant of θ is -6, or namely -6/1.
however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.
we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now

recall that

therefore, let's just plug that on the remaining ones,

now, let's rationalize the denominator on tangent and secant,
Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,

The angles in any triangle add to 180 degrees in measure, and
and
, so that


Answer:

Step-by-step explanation:
<u>Congruent Triangles</u>
The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.
Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

Solving


The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

Or

Thus

Solving

