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slavikrds [6]
3 years ago
7

How do I find the value of the variable in this triangle

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0
3x+2x+45=180
5x=180-45
5x=135
x=27
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Step-by-step explanation:

1. You find 10*sin(60 degrees), because sin(60 degrees) =  x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.

2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.

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