Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) =
= 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven
Step-by-step explanation:
when a line intersects with 2 (or more) parallel lines. then, of course, the intersection angle is the same with every of the intersected lines. otherwise they would not be parallel.
so,
7x - 10 = 60
7x = 70
x = 10
I think you have to combine like terms to solve this one. (6d - 3d) + (5 - 2) = 3d + 3
Answer:
What equation...................wait nvm
Answer:
A true
Step-by-step explanation: