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blsea [12.9K]
3 years ago
15

I’m confused on this one

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0
The answer is 42.

The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).

To find angle E:
79 + 6x + 11  + 7x - 14 = 180
Move numbers to the right side:
6x + 7x = 180 - 79 - 11 + 14
Combine like terms:
13x = 104
Divide both sides by 13:
x = 8
The formula for angle E:
7x - 14
Plug in the 8:
7 \times 8 - 14 = 56 - 14 = 42
The angle measure of E is 42. So angle N is automatically 42 too.

To solidify, we can try to use the formula which they give us for angle N:
3x + 18 = 24 + 18 = 42
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  see below

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Find sin(2x), cos(2x), and tan(2x) from the given information.<br> tan(x) = − 1/2 , cos(x) &gt; 0
vodomira [7]

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  tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)

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Then cosine can be found from ...

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