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natta225 [31]
3 years ago
12

If m ABC=122 and m ABD=71 then m DBC =

Mathematics
2 answers:
Lilit [14]3 years ago
8 0
Answer:

m∠DBC = 51°

Step-by-step explanation:

m∠ABC = 122°

m∠ABD = 71°

m∠DBC = m∠ABC - m∠ABD

m∠DBC = 51°

Marysya12 [62]3 years ago
5 0

Answer:

Angle DBC = 51

Step-by-step explanation:

Angle ABC = angle ABD + angle DBC

We are given that angle ABC = 122 and angle ABD = 71

So 122 = 71 + angle DBC

* Solve for angle DBC *

Subtract 71 from both sides

122 - 71 = 71 - 71 + angle DBC

51 = angle DBC

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aev [14]
Check the picture below.

the man is going North, and he has a rate of 5 f/s, she's going south, 500 miles from P, the green distance, and she's going 6 f/s.

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after that, they both walked for 15 minutes more or 900 seconds, and for her that means 5400 feet, whilst for him going slower means 4500 feet, as you see in the  picture.

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now, let's use the pythagorean theorem, bearing in mind that the green 500 feet are constant all the while, that matters because the derivative of a constant is 0.

\bf r^2=x^2+y^2\stackrel{chain~rule}{2r\cfrac{dr}{dt}}=0+\stackrel{chain~rule}{2y\cfrac{dy}{dt}}\implies \cfrac{dr}{dt}=\cfrac{2y}{2r}\cdot \cfrac{dy}{dt}
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\bf \cfrac{dr}{dt}=\cfrac{y}{r}\cdot \cfrac{dy}{dt}\qquad 
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r=100\sqrt{13021}\\
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y=11400
\end{cases}\implies \cfrac{dr}{dt}=\cfrac{11400}{100\sqrt{13021}}\cdot 11
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