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sweet [91]
4 years ago
7

A polygon with 9 sides is shown. An exterior angle has a measure of x degrees. In the regular nonagon shown, what is the measure

of angle x? 36° 40° 45° 60°
Mathematics
1 answer:
adoni [48]4 years ago
6 0

Answer:

<h2>40°</h2>

Step-by-step explanation:

First we must know that the sum of all the exterior angle of all polygons is 360°.

Measure of each angle of a polygon = 360°/total sides of the polygon

Since a regular nonagon has 9 sides, the measure of each angle of a polygon is expressed as thus;

Measure of each angle of a polygon  = 360°/9

Measure of each angle of a polygon  = 40°

Hence the measure of an exterior angle x of a nonagon is 40°

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One leg of a right triangle is 12, and the hypotenuse is 20.
adoni [48]

We can ise Pythagorean triplet which is ( 12 , 16 , 20 )

Therefore the answer is 16.

Step-by-step explanation:

Or we can use Pythagoras theorem , stated as ;

( hyp )^2 = ( adj )^2 + ( opp )^2

hyp ( hypotenuse ) = 20

We can assume the adj ( adjacent ) = 12

By substituting the values ,

20^2 = 12^2 + ( adj )^2

400 = 144 + ( adj )^2

400 - 144 = ( adj )^2

256 = ( adj )^2

Take the square root of both sides

✓256 = adj

16 = adj

Therefore the length of the other leg which is the adjacent( adj ) side is 16.

8 0
3 years ago
A company has 10 trucks. A truck has 15 pallets. A pallet has 7 boxes. A box has 50 containers. A container has 3 plastic bags.
Oliga [24]

Step-by-step explanation:

5160 In two trucks they have a 50 specimen , 10 , 20

6 0
2 years ago
The AARP (American Association of Retired People) report that at least 60% of retired people under the age of 65 would return to
mart [117]

Answer:

Step-by-step explanation:

Proportion of retired people under the age of 65 would return to work on a full-time basis if a suitable job were available = 60/100 = 0.6 = P

Null hypothesis: P ≤ 0.6

Alternative: P > 0.6

First, to calculate the hypothesis test, lets workout the standard deviation

SD =  √[ P x ( 1 - P ) / n ]

where P = 0.6, 1 - P = 0.4, n = 500

SD = √[ (0.6 x 0.4) / 500]

SD = √ (0.24 / 500)

SD = √0.00048

SD = 0.022

To calculate for the test statistic, we have:

z = (p - P) / σ where p = 315/500 = 0.63, P = 0.6, σ = 0.022

z = (0.63 - 0.6) / 0.022

z = 0.03/0.022

z = 1.36

At the 2% level of significance, the p value is less than 98% confidence level, thus we reject the null hypothesis  and conclude that more than 60% would return to work.

4 0
3 years ago
36,6,-24,-54 arithmetic sequences
astra-53 [7]
Since the values are lowering each time and it is an arithmetic sequence, we can assume that each number is being subtracted by the same number. We can figure this out by setting up an equation taking two values from the sequence.
Let's use 36 and 6
36 - x = 6 which gives us 30. We can check our work by subtracting each value by 30 starting from 36.
6 0
3 years ago
Helppppppppp meeeeee?/!)/)/7
LenaWriter [7]

Answer:

18 weeks

So we know that she has $1550 dollars, she has a loss of $82.5 dollars every day. It is division (or subtraction to make it easier). She would have her money over $395 dollars for 18 weeks.

Hope this helps!

7 0
2 years ago
Read 2 more answers
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