The polygon has 36 sides. The interior angle is 160 degrees.
Answer:
The solution set is {-2, 3}.
Step-by-step explanation:
We can do this by elimination after manipulating the 2 equations so that the coefficients of y will disappear after addition:
5x - 2y = -16 Multiply this by -5:
-25x + 10y = 80 ...........(A)
4x - 5y = -23 Multiply this by 2:
8x - 10y = -46..............(B)
Now add A and B:
-17x = 34
x = 34/-17
<u>x = -2</u>.
Now substitute x = -2 into the first original equation:
5(-2) - 2y = -16
-2y = -16 +10 = -6
y = -6/-2
<u>y = 3</u>.
Confirm these results by substitution in the second original equation:
4(-2) - 5(3)
= - 8 - 15 = -23.
Checks OK.
The equation of a line that passes through the point (x1,y1) and has a slope of m is y-y1=m(x-x1)
given
(6,-3)
(x1,y1)
and slope is 1/2
y-(-3)=1/2(x-6)
y+3=1/2(x-6)
that is point slope
The sequence: 9, 4, 3
The largest number in this sequence is 9.
This is because 9 is of greatest value, being farther from 0 than the numbers 3 and 4.
The smallest number in this sequence is 3.
This is because 3 is of least value, being closer to 0 than the numbers 4 and 9.
Knowing this, we can answer the first question- "Is the first digit the largest or the second digit the smallest?"
9 is the first digit in this sequence, and it is the largest.
4 is the second digit in this sequence, and it is not the smallest. 3 is the smallest value in the sequence, but it is not the second digit.
This means that "the first digit is the largest" is the correct answer to the first question.
Even numbers result in integers, numbers without decimals/fractions, when divided by 2.
3 is an odd number, since it does not result in an integer when divided by 2.
3 is the third number in this sequence.
9 is also an odd number for the same reason.
9 is the first number in this sequence.
Knowing this, we can answer the second question- "Is the third digit even or the first digit odd?"
3 is the third digit in the sequence, and it is odd, not even.
9 is the first digit in the sequence, and it is odd.
This means that "the first digit is odd" is the correct answer to the second question.
Answers:
1) The first digit, 9, is the largest digit in the sequence.
2) The first digit, 9, is odd.
Hope this helps!
Answer:
0.4 is the probability that at least 2 out of 5 will be carrying a reusable water bottle
Step-by-step explanation:
We are given the following information:
We treat people carrying at least 1 reusable water bottle as a success.
P(people carry at least 1 reusable water bottle) = 29% = 0.29
Then the number of people follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 5
We have to evaluate:
0.4 is the probability that at least 2 out of 5 will be carrying a reusable water bottle
