Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees
Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides
Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°
An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees
Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120
This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees
Hope this helps :)
Answer:
The confidence level is 95% or 0.95.
Step-by-step explanation:
Consider the provided information.
Results of a poll stated that 40% of U.S.
If you want to test the claim at alpha = 0.05.
As we know:
Confidence level = 1 - significance level (
)
Confidence level = 
Confidence level = 
Therefore, the confidence level is 95% or 0.95.
Answer:
x > 1/9
Step-by-step explanation:
Given that:
3x-1>-6x
Adding 6x + 1 on both sides we get
3x-1 + 6x + 1>-6x + 6x +1
3x + 6x > 1
Adding both variables
9x > 1
Dividing both sides b 9 we get
9x/9 > 1/9
x > 1/9
I hope it will help you!
Answer:
36 minutes
Step-by-step explanation:
The key is to get the same amount of time for each.
9 * 12 = 108
At 12 minutes per job,
in 108 minutes Alyssa could do
108/12 = 9 jobs
At 9 minutes per job,
Together in 108 minutes they could do
108/9 = 12 jobs
--------------------------
In 108 minutes Mirada does
12 - 9 = 3 jobs
108/3 = 36 minutes per job
Answer:
87.6
Step-by-step explanation:
90 = 2.4 + x
x = 90 - 2.4
x = 87.6
