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olasank [31]
3 years ago
10

The angle addition postulate is sometimes described as "the whole is equal to the sum of its parts." Explain how this descriptio

n applies to the angle addition postulate.

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0
To explain this clearly, refer to the figure attached. 

Angle addition, from the name itself, is the sum of the smaller angles to make up the bigger angle. In that case, the yellow angle plus the green angle, equals the maroon angle. As long as they have the same vertex (vertex O), you can add up angles that are side by side to obtain the value of the total angle. That is what the phrase <span>"the whole is equal to the sum of its parts" means.</span>

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Step-by-step explanation:

1) c

2) c

use the value of slope and the coordinates and substitute in the equation of line.

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3 years ago
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joja [24]

Answer:

d and b

Step-by-step explanation:

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The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Montano1993 [528]

Answer:

0.2 miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points (0,3), (5,4),(10,5)...

From these points we can find the slope of the line .

From point slope formula y-y_1=m(x-x_1)

And assigning (x,y) (0,3) and (x_1,y_1) (5,4)

m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2

This slope is also the speed of the bird which is 0.2\ miles\ per\ minute.

As by plugging the values of any coordinate point we can confirm this.

Lets put (10,5), y-axis is the distance so in 10 minutes the the distance covered by the bird must be equal to to y-axis value which is 5 miles.

y=0.2(x),y=0.2(10)=5\ miles

Now as in t=0 the bird has started from y-intercept value 3 so we can say that,the original distance of the bird from its nest is 3\ miles.

So the correct choices are:B and D

The birds speed is 0.2\ miles per minute and is 3\ miles away from its nest.

7 0
3 years ago
Find the area of the kite. Hint: The brackets indicates the full length of a segment
xxMikexx [17]

Answer: 54 ft²

Step-by-step explanation:

Area of a kite is calculated by the formula:

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Length = 6 + 6 = 12 ft

Height = 9 ft

Area = (12 * 9) / 2

= 108 / 2

= 54 ft²

3 0
3 years ago
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