Answer:
x = 88
Step-by-step explanation:
The sum of the angles in a triangle add to 180
47+45 +x = 180
Combine like terms
92+x = 180
Subtract 92 from each side
92+x-92= 180-92
x =88
Answer:
1. 38 degrees
2. 38 degrees
Step-by-step explanation:
It tells you that angle 1 is 38 degrees, and they are supplementary angles, which means angle 2 is also 38 degrees.
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Answer:
see explanation
Step-by-step explanation:
Given
x + y + z = π
let
x = A , y = B , z = C , so
x = tanA, y = tanB , z = tanC
Substituting values
A + B + C = π ( subtract C from both sides )
A + B = π - C ( take tan of both sides )
tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )
= - tanC ( multiply both sides by 1 - tanAtanB )
tanA + tanB = - tanC( 1 - tanAtanB) ← distribute
tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )
tanA + tanB + tanC = tanAtanBtanC , that is
x + y + z = xyz
Answer:
5/34 mi/min
Step-by-step explanation:
To find miles per minute, divide miles by minutes:
(7 3/4 mi)/(52 7/10 min) = (31/4 mi)/(527/10 min)
= (31/4)(10/527) mi/min = 310/2108 mi/min = 5/34 mi/min
Carlton's average pace was 5/34 miles per minute.
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Since the given numbers are mixed numbers, we assume this is supposed to be a problem in fractions. Hence we have given the answer as a fraction. Its decimal value is about 0.14706. It is a repeating decimal with a 16-digit repeat.
You may have to do a little work to reduce the fraction 310/2108 to 5/34. You have to factor out a factor of 62. The numerator is 310=2·5·31, so that gives you a short list of factors to try with the denominator.
I'm pretty sure its 127.8
