Answer:
See Explanation
Step-by-step explanation:
![A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved](https://tex.z-dn.net/?f=A%2BB%3D%2045%20%5Cdegree%20%5C%5C%20%20%5C%5C%20assuming%20%20%5C%3A%20%20%5Ctan%20%5C%3A%20on%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%20%5C%5C%5Cimplies%20%5C%3A%20%5Ctan%28%20A%2BB%29%3D%20%20%5Ctan%2045%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Cimplies%20%5C%3A%20%5Ctan%28%20A%2BB%29%3D%20%201%20%5C%3A%20%20%5C%3A%20%5C%5C%20%20%28%20%20%5Cbecause%20%5C%3A%20%5Ctan%2045%20%5Cdegree%20%3D%201%29%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20%20%5Cfrac%7B%5Ctan%20%5C%3A%20A%20%2B%5Ctan%20%5C%3A%20B%20%7D%7B1%20-%20%5Ctan%20%5C%3A%20A%20.%5Ctan%20%5C%3A%20B%20%7D%20%20%3D%201%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20%5Ctan%20%5C%3A%20A%20%2B%5Ctan%20%5C%3A%20B%20%3D%201%20-%20%5Ctan%20%5C%3A%20A%20.%5Ctan%20%5C%3A%20B%20%5C%5C%20%20%5C%5C%20%5Cpurple%7B%20%5Cimplies%20%7D%5C%3A%20%20%5Corange%7B%20%5Cbold%7B%5Ctan%20%5C%3A%20A%20%2B%5Ctan%20%5C%3A%20B%20%20%2B%20%5Ctan%20%5C%3A%20A%20.%5Ctan%20%5C%3A%20B%3D%201%20%7D%7D%20%5C%5C%20%20%5C%5C%20thus%20%5C%3A%20proved)
4y + 5 = -31
4y +(5 minus 5) = -31 minus 5 (in affect move the 5 "over")
4y =-36 ( - 31 minus 5 = -36)
4y/4 = -36/4 (divide the 4 from both sides)
y= -9 (-36 divide by 4 = -9)
hope this helps
Answer:
3
Step-by-step explanation:
Multiply the miles per gallon by the total gallons:
32.4 x 12.7 = 411.48 total miles.
8 are left handed bc 20% of its 40 is 0.2×40 =8