Two angles<span> are said to be supplementary when the sum of the two </span>angles<span> is </span>180<span>°. ... All </span>angles<span> that are either exterior </span>angles<span>, </span>interior angles<span>, </span>alternate angles<span> or corresponding </span>angles<span> are all congruent.</span>
Answer:
Step-by-step explanation:
We will use the co-function identity for sine, where:
Since sin(21)=0.358=cos(x). This means that:
Solve for x. Add x to both sides:
Subtract 21 from both sides:
Hence:
Answer: Coordinates for S (4,-13)
Answer:
Step-by-step explanation:
If the value of y is same for both then we have equal right sides of equations
Solve this for x
- 50x - 30x = 70 - 10
- 20x = 60
- x = 60/20
- x = 3
Find the value of y
- y = 50*3 + 10 = 150 + 10 = 160
Correct choice is A
Answer:C. (77.29, 85.71)
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean test score of randomly selected students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
81.5 +/- 1.96 × 10.2/√25
= 81.5 +/- 1.96 × 2.04
= 81.5 +/- 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5016
The upper end of the confidence interval is 81.5 + 3.9984 =85.4984
Therefore, the correct option is
C. (77.29, 85.71)
