Answer:
$30
Srry if its wrong
Step-by-step explanation:
The solution to the problem is as follows:
<span>
cot θ = cos θ / sin θ </span>
<span>So sinθ * cot θ = cos θ after cancelling sin θ </span>
<span>Now cosθ + sin θ cot θ = cos θ + cos θ = 2 cos θ
</span>
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Answer:

Step-by-step explanation:
We need to solve 
We know that,

Using the above formula,
![(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn](https://tex.z-dn.net/?f=%288m-3n%29%5E2%20-%20%284m%2B3n%29%5E2%3D%288m%29%5E2%2B%283n%29%5E2-2%288m%29%283n%29-%5B%284m%29%5E2%2B%283n%29%5E2%2B2%284m%29%283n%29%5D%5C%5C%5C%5C%3D64m%5E2%2B9n%5E2-48mn-%2816m%5E2%2B9n%5E2%2B24mn%29%5C%5C%5C%5C%3D64m%5E2%2B9n%5E2-48mn-16m%5E2-9n%5E2-24mn%5C%5C%5C%5C%3D48m%5E2-48mn-24mn%5C%5C%5C%5C%3D48m%5E2-72mn)
So, the final answer is
.
These 2 angles are "vertical angles." Thus, angle 1 = angle 4.
Therefore, 6x+1 = 8x-17. Solving for x, 2x = 18 and x = 9 (answer)
Subtract 20 from the total weight and divide by 4:
200 - 20 = 180
180/4 = 45
Each other crate weighs 45 pounds each.