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solmaris [256]
3 years ago
14

Explain how the tangents of complementary angles are related.

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer:

  tan(α) = 1/tan(90°-α)

Step-by-step explanation:

The tangent of one is the reciprocal of the tangent of the other.

__

In a right triangle, ...

  tan = opposite/adjacent

For the two complementary acute angles in such a triangle, opposite and adjacent are swapped. That is the tangent of one is the inverse of the tangent of the other. (That inverse is also known as the cotangent.)

  tan(α) = cot(90°-α) = 1/tan(90°-α)

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Which Quadrilaterals have the following property. Check all that apply. Both pairs of opposite sides are parallel.
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Answer:

Parallelogram, Rhombus, Rectangle

Step-by-step explanation:

they are the quadrilaterals that have both pairs of opposite sides parallel meaning that they don't meet and are equal

8 0
3 years ago
What is 8 to the 21st power
iren2701 [21]
8 to the 21st power is 9.22 :3
8 0
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What is the difference between the median and the range in the data set shown below?
horrorfan [7]
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Hope this helps

Have a great day/night
3 0
3 years ago
1. Classify the triangle shown to the right.
hjlf
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8 0
3 years ago
Please help ASAP I don’t understand
NikAS [45]

I can give you the answers; making you understand is a taller order.


1. Given


Proofs usually start with the givens


2. Corresponding Angle Theorem


Two sides of the triangle are transverses to parallel lines so each generates congruent angles.


3. AA (angle angle) Similarity Theorem


If a pair of triangles has two congruent pairs of angles, the third pair is congruent as well and the triangles are similar.


4. Corresponding sides of similar triangles are proportional


All the linear dimensions in a similar triangle are scaled by the same factor.


5. Segment Addition Postulate


This one is so basic sometimes it's not even mentiond. But it's really important. When we have a segment with a distinguished point dividing it into two shorter segments, the length of the whole is the sum of the lengths of the two parts.


6. That's the algebra one, (a+b)/c=a/c+b/c


It basically says we can add fractions with a common denominator by adding their numerators.


7. Subtract 1 ...


More algebra rules


8. Take reciprocals


More algebra


3 0
3 years ago
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