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Andreyy89
3 years ago
14

What is m∠DBC if m∠DBA = 85°? A. 23° B. 20° C. 31° D. 147°

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0
A. 23°
because 85°-62°=23°

*Hope this helped! :)
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If the airplane had to return to the airport, how far would it have to travel?
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Answer:

D

Step-by-step explanation:

Using cosine formula, we have

5 0
3 years ago
A man age is three times his sons age. ten years ago was five times his sons age. find their current age.
kow [346]

Answer:

The son is 20

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Step-by-step explanation:

We can set up this equation with what we know. Let <em>m</em> stand for the Man's current age, and let <em>s</em> stand for his son's current age.

We know the Man's current age is three times that of his son, so this equation can be written as: <em>m = 3s</em>

Ten years ago means the man's current age <em>minus</em> 10 years. So it is <em>m-10</em>. So ten years ago he was 5 times his son's age 10 years ago, <em>5(s-10)</em>

This can be written as: <em>m-10=5(s-10)</em>

Solve with either substitution or elimination, the choice is yours, it doesn't really matter which method you use. I'll be using substitution.

<em>m-10=5(s-10)</em>

<em>3s-10= 5s-50</em>

<em>40=2s</em>

<em>20 = s</em>

The son is <em>20</em> years old.

We know the man is currently 3 times his son's age, because <em>m=3s</em>, so just solve for m since you now know the value of <em>s.</em>

<em>m=3s</em>

<em>m=3(20)</em>

<em>m=60</em>

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4 0
3 years ago
A faucet in a large tank can fill the tank in 12 hours. However, there is a hose in the tank which would be able to empty the ta
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It would take the faucet 18 hours to fill the tank because 18/12=1.5.  That means it will be 1.5 times slower to fill the tank up with the hose on.  1.5*12=18.
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3 years ago
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Answer:

$80 billion

Step-by-step explanation:

From the graph, we have the following:

United\ States = -110

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China = 120

Germany = 40

Spain = 30

Required

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The difference is calculated as thus:

Difference = Denmark - United\ States

This gives:

Difference = -30 - (-110)

Difference = -30 +110

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<em>Hence, the difference is $80 billion</em>

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3 years ago
What is the slope of the line described by the equation –4x + 6y = 12?
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The slope of the equation is 4
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