Zx and Zy are supplemmentary angles. Zy measures 156 degree what is the measure of Zx?

Mathematics

1 answer:

horrorfan [7]2 years ago

5 0

Answer:

Zx = 24 degrees.

Step-by-step explanation:

Supplementary angles are two angles that add up to 180 degrees. If Zy + Zx = 180, and Zy = 156, we can plug in that value and do 156 + Zx = 180, and if you solve that out you can 24.

Let me know if you have any questions

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1.25 liters of oil

Step-by-step explanation:

Volume in Beaker A = 1 L

Volume of Oil in Beaker A = 1*0.3 = 0.3 L

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If half of the contents of B are poured into A and assuming a homogeneous mixture, the new volumes of oil (Voa) and vinegar (Vva) in beaker A are:

$V_{oa} = 0.3+\frac{0.8}{2} \\V_{oa} = 0.7 \\V_{va} = 0.7+\frac{1.2}{2} \\V_{va} = 1.3$

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$0.6*V_{total} = V_{oa} +V_{omix}\\0.6*(V_{va}+V_{oa} +V_{omix}) = V_{oa} +V_{omix}\\0.6*(1.3+0.7+V_{omix})=0.7+V_{omix}\\V_{omix}=\frac{0.5}{0.4} \\V_{omix}=1.25 \ L$