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Ludmilka [50]
3 years ago
7

What are the numerical measures of each angle in the diagram?

Mathematics
2 answers:
yuradex [85]3 years ago
6 0

This is the diagram to the question above.


stepan [7]3 years ago
4 0

Answer:

∠1 = 29 degrees

∠2 = 151 degrees

∠3 = 29 degrees

∠4 = 151 degrees

Step-by-step explanation:

By look at the figure, ∠1 and ∠3 are opposite angles.

Opposite angles are equal.

Given: ∠1 = 3x -1 and ∠2 = 2x + 9

Therefore, by the property

3x - 1 = 2x + 9

We can find x.

3x - 2x = 9 +1

1x = 10

x = 10

By plugging in x =10 in the above expression, we get

∠1 = 3(10) - 1

∠1 = 30 -1

∠1 = 29 degrees.

∠3 = 29 degrees.

∠2 and∠4 are equal since they are opposite angles.

Let's find ∠2

∠2 + ∠1 = 180 degrees since there are in a straight line.

∠2 + 29 = 180

∠2 = 180 -29

∠2 = 151 degrees.

∠4 = 151 degrees

Hope this will helpful.

Thank you.

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melomori [17]
Its simple, convert 1 and 2/3 into a fraction which is 5/3 and use KCF which is Keep Change and Flip,

How this works is that you keep the first fraction, then change the division sign to a multiplication sign (Change = change the sign into its oppisite) then flip the other fraction from being 5/3 into 3/5. And then you multiply top times top and bottom times bottom. After that you simplify if you can, Hope this helped!
7 0
3 years ago
Read 2 more answers
A car travels along a straight stretch of road. It proceeds for 16.2 mi at 57 mi/h, then 24.6 mi at 44 mi/h, and finally 45.1 mi
LekaFEV [45]

Answer:

The average velocity the entire trip was 43.25 mi/h

Step-by-step explanation:

In this case we have to calculate an average based on the miles traveled. First we have to calculate the total of miles traveled, then calculate the portion of the total travel of each and with this calculate the average speed during the trip. First the total miles traveled:

TotalMiles=16.2+24.6+45.1=85.9

Now the percentages:

At 57 mi/h were \frac{16.2}{85.9}=0.19

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At 37.8 mi/h were \frac{45.1}{85.9}=0.52

Now multiplying the speed by the portion and summing them we can have the average velocity:

57*0.19+44*0.29+37.8*0.52=43.25

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5 0
3 years ago
Find the area of this rectangle.<br> 2<br> 13 cm<br> 口 Icm<br> 7 cm
Brums [2.3K]

Answer:

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Step-by-step explanation:

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3 years ago
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Wittaler [7]

Answer:

The 2 numbers are 22 and 23

Step-by-step explanation:

let the two numbers be x and x+1

according to the question:

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Hope it helped u....

5 0
3 years ago
I need help with this please
sergeinik [125]
46. They are corresponding angles. if you get rid of the line in between 46 and C then youll see that they are on 1 line and corresponding angles are always equal
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3 years ago
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