Refer to the figure shown below.
Because the sum of angles on a straight line is 180°, therefore
m∠2 + m∠x = 180°
125° + m∠x = 180°
m∠x = 180 - 125 = 55°
Because the sum of angles in a triangle is 180°, therefore
m∠1 + m∠x + m∠y = 180
60 + 55 + m∠y = 180
m∠y = 180 - 60 - 55 = 65°
Because the sum of angles on a straight line is 180°, therefore
m∠3 + m∠y = 180
m∠3 + 65 = 180
m∠3 = 180 - 65 = 115°
Answer:
m∠3 = 115°
Answer:
Confidence Interval =-3.4085 ,+0.7915
Step-by-step explanation:
The confidence interval can be determined by
(x1`- x2`) ± 1.955 √s1²/n1 + s2²/n2
The mean and the standard deviations can be calculated using the calculator.
The mean x1`= ∑x/ n= 2+ 2+ 2+ 5+ 5+ 5+ 1+2+ 3+ 5/10
= 32/10= 3.2
Standard deviation = s1`= 1.536
The mean x2`= ∑x/ n= 5 +4 +5+ 7+ 4+ 7+ 5+ 4+ 4+ 8/10
= 53/10= 5.3
Standard Deviation = s2= 1.4177=1.42
Putting the values
(x1`- x2`) ± 1.955 √s1²/n1 + s2²/n2
(3.2-5.3 ) ± 1.955 √1.54²/10 +1.42²/10
-2.1 ± 1.955 √ 2.37/10 +2.11/10
-2.1 ± 1.3085
-3.4085 ,+0.7915
Acute Angles measure below 90°
So this angle would be an acute angle
The factors are 1, 2, and 4
Answer:
A number line
Step-by-step explanation: