Answer:
w = 6.7451
x = 8.0805
Step-by-step explanation:
Find W
Tan(56) = opposite / adjacent
opposite = 10
Adjacent = w
Tan (56) = 10/w
w*Tan(56) = 10
w = 10 / tan(56)
w = 10/ 1.4826
w = 6.7451
Find x
Tan (34) = 10 / (w + x)
Tan (34) = 0.6745
(w + x) * Tan(34) = 10
w + x = 10 / tan(34)
w+ x = 10 / 0.6745
w + x = 14.826
But we found w = 6.7451
6.7451 + x = 14.826
x = 14l826 - 6.7451
x = 8.0805
If 2 of 12 eggs are cracked, then 10 are not cracked.
SO
10/12=5/6=about 0.83
0.83 of total eggs not cracked is also equivalent to 83 percent as asked in the problem :)
Answers:
Angle T = 79 degrees
Angle V = 14 degrees
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Work Shown:
T + V = 93
(2x+85) + (5x+29) = 93
7x+114 = 93
7x = 93-114
7x = -21
x = -21/7
x = -3
This x value is used to find each angle mentioned.
- Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
- Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees
As a check, T+V = 79+14 = 93 which confirms our answers.
