Answer:
n = 9
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Given 3 angles and the remaining angle of 141° then there are
141(n - 3) angles of this size
Then
99 + 153 + 162 + 141(n - 3) = 180(n - 2) , that is
414 + 141n - 423 = 180n - 360
141n - 9 = 180n - 360 ( subtract 141n from both sides )
- 9 = 39n - 360 ( add 360 to both sides )
351 = 39n ( divide both sides by 39 )
9 = n
The polygon has 9 sides
<u>We are given:</u>
The line passes through the points (9,4) and (9,-5)
<u>We know that:</u>
Slope of a line = (change in y) / (change in x)
<u>Finding the slope:</u>
Change in x = final x - initial x
Change in x = 9 - 9 = 0
Slope of line = (change in y) / 0
because division by 0 is undefined:
Slope of the line is <em>Undefined</em>
We could've solved for the change in y but there's no reason to because no matter what's in the numerator, as long as the denominator is 0, the value is undefined
Answer:
4.1 gal/day
Step-by-step explanation:
1gal = 128oz
1day = 24hr
22oz 24hrs 1 gal
-------- x ----------x ------------ = 4.125 gal/day
1 hr 1 day 128 oz
4.1 gal/day for Sig Figs
we know that

Step 1
<u>Carlos's method</u>
1) <u>Find the absolute value of
</u>

2) <u>Find the opposite</u>

Step 2
<u>Jason's method</u>
1) <u>Find the opposite of
</u>

2) <u>Find the absolute value </u>

Step 3
<u>Compare the answers</u>

therefore
<u>The answer is</u>
The greater value is obtained with the method of Jason
The probability that one would have selected 2 five-dollar bills is; 1/4.
<h3>
What is the probability you will have selected 2 five-dollar bills?</h3>
It follows from the task content that the piggy bank contains; 4 one-dollar bills and 4 five-dollar bills to make a total of 8 bills.
Hence, provided the probability events are carried out with replacement, the probability to have selected 2 five-dollar bills is;
= 4/8 × 4/8
= 1/4.
Read more on probability;
brainly.com/question/24756209
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