Step-by-step explanation:
Supplementary angles are angles that have the sum of their angles to be 180°. Hence if <1 and <2 are supplements, then <1+<2 = 180°.... 1
Similarly if <3 and <4 are supplements, then <3+<4 = 180° ....... 2
Equating the left hand side of both equations since they are both equal to 180°, we will have;
<1+<2 = <3+<4 ....... 3
From the question we are told that <1 = <4, substituting this condition into equation 3;
From 3; <1+<2 = <3+<4
<4+<2 = <3+<4 (since <1 = <4)
subtract <4 from both sides
<4+<2 -<4= <3+<4 -<4
<2 = <3 (Proved!)
Answer:
D
Step-by-step explanation:
-6.875 is greater because it is closer to zero (being positive). Think about it as the opposite way or positive numbers. If they were both positive, the answer would be 6.89, because they are greater than zero.
The sample mean of the random sample is 50
The margin of error (E) is the amount of error allowed in the random sample.
The confidence interval (CI) is given by:
CI = μ ± E = (μ - E, μ + E)
Given a confidence interval of (38.02, 61.98), hence:
μ - E = 38.02 (1)
μ + E = 61.98 (2)
Hence solving equations 1 and 2 simultaneously gives:
μ = 50, E = 11.98
Hence the sample mean of the random sample is 50
Find out more at: brainly.com/question/24131141
