∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle.

1 answer:

3 0

Since the angles are a linear pair, then we have to validate the following equation:
m∠1 + m∠2 = 180
Substituting the values we have:
(x - 29) + (x + 61) = 180
We clear x:
2x + 32 = 180
x = (180-32) / (2)
x = 74
Therefore, each angle will be:
m∠1 = x - 29 = 74 - 29 = 45
m∠2 = x + 61 = 74 + 61 = 135
Answer:
the measure of each angle are:
m∠1 = 45
m∠2 = 135

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The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

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Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.

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$moles=\frac{3.13*10^{23}molecules*1 mole }{6.023*10^{23}molecules}$

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Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?

$mass=\frac{0.52 moles*44 g}{1 mole}$