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
It'll be this [m]=[0] or this 5×10
1
÷7=
7
50
Answer:11x + 15y + 23
Step-by-step explanation:
Answer:
Next year Aimee will be 13 years old
Step-by-step explanation:
Let's call Aimee's age A, and Jamie's age J.
From the information given, we have that:
A = (1/3) * J
A + 12 = (1/2) * (J + 12)
Using the value of A from the first equation in the second one, we have:
J/3 + 12 = J/2 + 6
J/2 - J/3 = 6
J/6 = 6
J = 36
Now we can find A:
A = (1/3) * 36 = 12
So next year Aimee will be 13 years old
