8x + 3× + 9x = 180
20x = 180
x = 180/20
x = 9
The smallest angle is: 3×9 = 27 degrees
Note: 180 degrees is the sum of angles in a triangle
4x / 5 = 1 / 3 ( 2x - 15 )
4x / 5= ( 2x - 15 ) / 3
4x × 3 = 5 ( 2x - 15 )
12x = 10x - 75
12x - 10x = - 75
2x = - 75
x = - 75 / 2
x = - 37.5
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Answer:
- x +3x = 180
- x = 45 . . . . . . . choice C
- 3x = 135 . . . . . choice F
Step-by-step explanation:
Let x represent the measure of the original angle in degrees. Three times its measure is 3x. That will be the supplement if the sum of the two angles is 180°.
x + 3x = 180 . . . . . . . . . equation for finding the angle
x = 180/4 = 45 . . . . . . divide both sides by 4
3x = 3(45) = 135
The first angle is 45°. The second angle is 135°.
And what happened?
you didn’t finish your sentence, lol
Answer:
Step-by-step explanation:
We are given the following in the question:
Significance level = 0.01
Width of interval = 0.1
Population variance = 
We have to find the sample size so that the width of the confidence interval is no larger than 0.1
Formula for sample size:
where E is the margin of error. Since the confidence interval width is 0.1,
Putting these values in the equation:
So, the above expression helps us to calculate the sample size so that the width of the confidence interval is no larger than 0.1 for different sample variances.
