Answer:
Step-by-step explanation:
we know that
The formula to calculate the coordinates of the midpoint between two points is equal to
we have that
The coordinates of diagonal WY are
substitute in the formula to calculate the midpoint
Answer:
obtuse
Step-by-step explanation:
Answer:
90% confidence interval for the mean blood pressure of all executives is 123.12 to 129.02.
The closest option is A
Step-by-step explanation:
Confidence Interval = mean + or - Error margin (E)
mean = 126.07
sd = 15
n = 72
degree of freedom = n - 1 = 72 - 1 = 71
Confidence level (C) = 90% = 0.9
Significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
t-value corresponding to 71 degrees of freedom and 10% significance level is 1.6667
E = t×sd/√n = 1.6667×15/√72 = 2.95
Lower limit = mean - E = 126.07 - 2.95 = 123.12
Upper limit = mean + E = 126.07 + 2.95 = 129.02
90% confidence interval for the mean blood pressure of all executives is between a lower limit of 123.12 and an upper limit of 129.02.
Hello!
So a tangent line is perpendicular to the radius, which means it creates a 90 degree angle with the radius of the circle. The sum of the interior angles of any triangle is 180 degrees. To determine if line BC is a tangent line, we have to determine if angle ABC is 90 degrees. Well we know the degrees of the other two angles of the triangle, so let's set up an equation:
180 = 48 + 47 + x
180 = 95 + x
85 = x
Since angle ABC must be 85 degrees (not 90), line BC is not a tangent line.
Answer:
<span>BC←→ is not a tangent line because m∠ABC ≠ 90°.</span>
