Answer:
∠1=160° and ∠2=20°
Step-by-step explanation:
Let ∠1 = x
∠2 = y
as these two angles are supplementary their sum is 180
that x+y=180 ----(A)
Also given that ∠1 is 20 degree less than nine times the size of ∠2.
Hence
x=9y-20
putting value of x in A and solving for y
9y-20+y=180
10y=180+20
10y=200
y=10
Putting this y in A
x+10=180
x=160
Ok so any number tat makes the denomenator 0 or makes the inside of a square root negative is restricted
we only have a denomenaor so
100v=0
v=0
therefor 0 is the excluded value since 0/0 doesn't make sense
Each hiker owes $41 or 4100 cents for the hiking trip.
<u><em>Explanation</em></u>
Cost of each permit is $15. So, the cost of <u>two permits</u> will be: 
Cost of each tram ticket is $19. So, the cost of <u>three tickets</u> will be:
Cost of <u>one can</u> of bear spray is $36.
So, the total cost of the hiking trip 
As the <u>three hikers</u> are dividing the total costs of the trip <u>evenly</u>, so each hiker owes
or 4100 cents.
Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
.
The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:


Z = 1.71
Z = 1.71 has a p-value of 0.9564.
1 - 0.9564 = 0.0436.
0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
More can be learned about the normal distribution at brainly.com/question/24663213
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