Answer: x = 135 degrees and y = 225 degrees.
Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.
Since a and 5 aren't like terms, you would write the expression as 
The experimental probability of each event is as follows:
- Landing open side up = 1/50 = 0.02 = 2%.
- Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
- Landing on its side = 44/50 = 0.88 = 88%.
The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.
In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:
Open-sided up: 1
Closed side up 5
On the side: 44.
We are asked to determine the experimental probability of each outcome.
The number of outcomes, when the landing is open-sided up is 1.
The number of outcomes, when the landing is closed-sided up is 5.
The number of outcomes, when the landing is on the side up is 44.
The total number of times the experiment took place is 50.
Thus, the experimental probability of each event is as follows:
- Landing open side up = 1/50 = 0.02 = 2%.
- Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
- Landing on its side = 44/50 = 0.88 = 88%.
Learn more about the experimental probability at
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Solve the rational equation by combining expressions and insulating the variable X .
all real numbers .
Ms. Pacheco = P
Mr. Richards = R
Mr. Edwards = E
P = R + 3
E = 2R
R + E = 81
81 = R + 2R
81 = 3R
81 ÷ 3 = R
R = 27
P = R + 3
P = 27 + 3
P = 30
E = 2R
E = 2×27
E = 54
