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astraxan [27]
4 years ago
11

Drag a reason to each box to complete the proof.

Mathematics
1 answer:
Anna [14]4 years ago
6 0

To start off with, DF=EG's reason is given, since you stated it was given.


Next, DE+EF = EF+FG's reason is because of the substitution property of equality. Think "if a = c, b = c, then a = b"


Lastly, DE = FG's reason is because of the Subtraction property of equality. If you subtract EF on one side, you must do it on the other side.

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What relationship do the ratios of sin x° and cos y° share?
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Answer:

sin(x) = cos(y)

Step-by-step explanation:

Let's figure out what sin(x) and cos(y) are before we figure out the relationship.

Sine is opposite / hypotenuse. Here, the opposite side to angle x is 12 and the hypotenuse is 13. So, sin(x) = 12/13.

Cosine is adjacent / hypotenuse. Here, the adjacent side of angle y is 12 and the hypotenuse is 13. So, cos(y) = 12/13.

Now we can see the relationship: sin(x) = cos(y)

In fact, for any right triangle with angles 90°, α°, and β°, where α and β can be any angle degree that add up to 90, the following relationships are true:

sin(α) = cos(β)

and

sin(β) = cos(α)

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3 years ago
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Black_prince [1.1K]
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4 years ago
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The coefficient would be 18. The exponent for g would be 18. The exponent for h would be 9.

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