Find Area, can't figure out how to get answer. Which numbers do I use for each figure??
1 answer:
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Make use of prime factorizations:
Both terms have a common factor of :
- - -
The second one is not true! We can write
Both terms have a common factor of :
Since , and
, we'd still have to show that
is a multiple of 6. This is impossible, because
and there is no multiple of 2 that can be factored out.
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
