In the figure below, ¯¯¯¯¯¯¯¯¯
A
D
is perpendicular to
¯¯¯¯¯¯¯¯¯¯
B
D

,
¯¯¯¯¯¯¯¯
A
C
is perpendicular to
¯¯¯¯¯¯¯¯
B
C
and
¯¯¯¯¯¯¯¯¯
A
D
≅
¯¯¯¯¯¯¯¯
B
C
. Which of the following congruences is NOT necessarily true?

¯¯¯¯¯¯¯¯
A
C

≅

¯¯¯¯¯¯¯¯¯
B
D
¯¯¯¯¯¯¯¯
A
C

≅

¯¯¯¯¯¯¯¯¯
B
D

¯¯¯¯¯¯¯¯¯
A
D
≅
¯¯¯¯¯¯¯¯
A
E
line segment cap A cap d is congruent to line segment cap A cap e

¯¯¯¯¯¯¯¯
A
E

≅

¯¯¯¯¯¯¯¯
B
E
¯¯¯¯¯¯¯¯
A
E

≅

¯¯¯¯¯¯¯¯
B
E

∠

D
A
B

≅

∠

C
B
A
∠

D
A
B

≅

∠

C
B
A

∠

E
A
B

≅

∠

E
B
A
∠

E
A
B

≅

∠

E
B
A

One expression below in undefined, and the other expression has a well defined value. which expression is undefined and explain why it has no value. which expression is defined? what is the value of that expression and how do you know? what is a different expression using a trig inverse function that is also undefined?

Needmax recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

The human resources manager at a company records the length, in hours, of one shift at work, x. he creates the probability distribution below. what is the probability that a worker chosen at random works at least 8 hours? probability distribution px(x) 6 hours 7 hours 8 hours 9 hours 10 hours 0.62 0.78 пол