Answer:
The answer to your question is: ∠K = 138°
Step-by-step explanation:
m∠N = 42°
m∠K = ?
The sum of all the internal angles in a quadrangle equals 360°
then
∠N + ∠L + ∠M + ∠K = 360°
∠N = ∠ L and ∠M = ∠K
So, 2 ∠N + 2 ∠K = 360
Substitution
2 (42) + 2 ∠K = 360
84 + 2 ∠K = 360
2 ∠K = 360 - 84
2 ∠K = 276
∠K = 276 / 2
∠K = 138°
<h3>
Answer: 8</h3>
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Work Shown:
![y = 192\left(4^{x-3}\right)\\\\196,608 = 192\left(4^{x-3}\right)\\\\\frac{196,608}{192} = 4^{x-3}\\\\1024 = 4^{x-3}\\\\4^{x-3} = 1024\\\\\log\left(4^{x-3}\right)=\log\left(1024\right)\\\\(x-3)*\log\left(4\right)=\log\left(1024\right)\\\\x-3=\frac{\log\left(1024\right)}{\log\left(4\right)}\\\\x-3=5\\\\x=5+3\\\\x=8\\\\](https://tex.z-dn.net/?f=y%20%3D%20192%5Cleft%284%5E%7Bx-3%7D%5Cright%29%5C%5C%5C%5C196%2C608%20%3D%20192%5Cleft%284%5E%7Bx-3%7D%5Cright%29%5C%5C%5C%5C%5Cfrac%7B196%2C608%7D%7B192%7D%20%3D%204%5E%7Bx-3%7D%5C%5C%5C%5C1024%20%3D%204%5E%7Bx-3%7D%5C%5C%5C%5C4%5E%7Bx-3%7D%20%3D%201024%5C%5C%5C%5C%5Clog%5Cleft%284%5E%7Bx-3%7D%5Cright%29%3D%5Clog%5Cleft%281024%5Cright%29%5C%5C%5C%5C%28x-3%29%2A%5Clog%5Cleft%284%5Cright%29%3D%5Clog%5Cleft%281024%5Cright%29%5C%5C%5C%5Cx-3%3D%5Cfrac%7B%5Clog%5Cleft%281024%5Cright%29%7D%7B%5Clog%5Cleft%284%5Cright%29%7D%5C%5C%5C%5Cx-3%3D5%5C%5C%5C%5Cx%3D5%2B3%5C%5C%5C%5Cx%3D8%5C%5C%5C%5C)
It will take 8 hours for the population to reach 196,608 bacteria.
Answer:
1862 tickets.
Step-by-step explanation:
1330 increase 40% =
1330 × (1 + 40%) = 1330 × (1 + 0.4) = 1862
35 degrees is your awnser