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Feliz [49]
2 years ago
5

∠1 and ∠2 form a linear pair. The measure of ∠2 is six more than twice the measure of ∠1. Find m∠2

Mathematics
1 answer:
Tamiku [17]2 years ago
6 0

Answer:

122 degrees.

Step-by-step explanation:

The angles that make up a linear pair will always add up to 180 degrees. So we can assume that ∠1 + ∠2 = 180. Now, ∠2 = 2(∠1) + 6, so we can substitute that into the equation to get 3(∠1) + 6 = 180. Now can we subtract 6 from both sides to get 3(∠1) = 174. If we divide both sides by 3, we find out that ∠1 = 58. Now we can go back to the original equation, ∠1 + ∠2 = 180. We can substitute in 58 for ∠1 to get 58 + ∠2 = 180, and then subtract 58 from both sides to get ∠2 = 122. Hope this helps. : )

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Eduardwww [97]

Answer:

time period is 260.57 years

Step-by-step explanation:

given data

growth rate = 3.4 % = 0.034

population = 4118000

area  P = 29000000000 square yard

to find out

time period that one person for every square yard of​ land need

solution

we will apply here population growth formula that is

total population P  = initial population × e^{rt}    ..............1

here r is rate of growth and t is time period and

we consider here initial population is current population

so put value in equation 1 to get t

29000000000 = 4118000 × e^{0.034t}

take ln both side

ln 7042.25 = ln e^{0.034t}

8.8596 = 0.034 t

t = 260.57

so time period is 260.57 years

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Minus the 10 from the 50, which makes 40. then divide 40 by 8
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