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Bogdan [553]
3 years ago
7

Use the relationship between the angles in the figure to answer the question.

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0
109 degrees

The horizontal line = 180 degrees
Add 31 and 40 = 71
Subtract 71 from 180 = 109
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An airplane takes off 12.5 miles south of a city and flies due north at a constant speed of 170 miles per hour. What is the plan
atroni [7]

Answer:

Option B

Step-by-step explanation:

Speed is distance moved per unit tine and is expressed as s=d/t

Making d the subject then

d=st

Where d is distance, s is speed and t is time taken in time.

Conversion

1 hour has 60 minutes hence 45 mins converted to hours will be 45/60=0.75

Substituting 0.75 hours for t and 170 mph for s then

d=0.75*170=127.5 miles due North

However, tge plane had initially moved 12.5 miles hence the relative distance due North will be 127.5-12.5=115 miles due North

7 0
3 years ago
What is 86.8954776543 rounded to the nearest millionth/ show work
stepladder [879]
<span>86.8954776543 rounded to the nearest millionth is 86.895478


The order after the decimal point goes like this:

tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionth</span>
3 0
3 years ago
Read 2 more answers
A 32 foot ladder is leaning against a building and forms a 29.37 angle with the ground how far away from the building is the bas
Ber [7]

In the picture below, h is height of building and x is the distance the base of the ladder is away from the base of the building.

We use trigonometry to find x, particularly the cosine function.

cos(29.37°) = x/32

cos(29.37°)(32) = x

27.8870633052 = x

We now round off to the nearest hundredths, which means to two decimal places.

27.89 feet = x

4 0
3 years ago
Read 2 more answers
Pre-Algebra <br> Due urgently <br> Tysm
Vesna [10]

Answer:

1. x = 5    2. y = 4      3. x = -2

Step-by-step explanation:

2x - y = 9             -5x + 2y = 13       3x + 4y = -6

<u>4x + y = 21</u>            <u>5x + y = -1   </u>      <u> 7x(-1) + 4y(-1) = -14(-1)</u>   <(multiply all by -1)

<u>6x = 30 </u>                      <u>3y = 12</u>       <u>  -4x = 8</u>

6       6                        3       3          4       4

x = 5                            y = 4              x = -2

7 0
2 years ago
Read 2 more answers
Simplify and solve<br><br><br><br><br>a x= -16<br> b x = -10<br>c x=10<br>d=16​
AURORKA [14]
1/2 (-4x + 12)= 26

-4x + 12= 52

-4x = 52 - 12

-4x = 40

x= 40/-4

x= -10

The answer is B. x = -10
4 0
3 years ago
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