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lord [1]
3 years ago
15

Polygons ABCD and EFGH are similar. Find the length of CD.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

there is no image?

Step-by-step explanation:

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agasfer [191]
If tan(<span>θ) is negative, then </span><span>θ must be either in Q-II or else in Q-IV.
Fortunately, the question tells us that it's in Q-II.


If you draw a circle on the x- and y-axes, then draw a right triangle
in Q-II, then mark the legs  3  and  -2, then the hypotenuse of the
triangle ... also the radius of the circle ... is  √13 .


Look for the angle whose tangent is  -3/2.
tangent = (opposite) / (adjacent)
So the side opp</span>osite is the 3 and the side adjacent is the -2.

For that same angle,   cosine = (adjacent) / (hypotenuse) .
The adjacent side is still the  -2, and the hypotenuse is  √13 .

So the cosine of the same angle is

                                 - 2 / √13 .

To rationalize the denominator (get that square root out of there),
multiply top and bottom by  √13 .  Then you have

                             (- 2 / √13) · (√13 / √13) 

                       =      - 2 √13 / 13  .
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3 years ago
Read 2 more answers
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