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valentina_108 [34]
3 years ago
13

Fill in the blank. Given O below, you can conclude that xz is congruent to

Mathematics
2 answers:
Illusion [34]3 years ago
7 0

Answer:

D

Step-by-step explanation:

I do not know the mathematical answer all i know is that they are congruent

g100num [7]3 years ago
6 0

Answer : The XZ is congruent to AC.

Step-by-step explanation :

First we have to prove ΔOBC and ΔOYX are congruent triangles.

Proof:

Side OC = Side OX (radius of same circle)

Side OB = Side OY (equal to 22)

∠B = ∠Y  (equal to 90°)

ΔOBC ≅ ΔOYX   (By SAS congruency)

So, Side BC = Side YX    (By CPCT)

Similarly, Side AB = Side ZX

Or we can say that,

Chord XZ = Chord AC

Hence, the XZ is congruent to AC.

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Read 2 more answers
Heights of men have a bell-shaped distribution, with a mean of 176 cm and a standard deviation of 7 cm. Using the Empirical Rule
Vaselesa [24]

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a) 68% of the men fall between 169 cm and 183 cm of height.

b) 95% of the men will fall between 162 cm and 190 cm.

c) It is unusual for a man to be more than 197 cm tall.

Step-by-step explanation:

The 68-95-99.5 empirical rule can be used to solve this problem.

This values correspond to the percentage of data that falls within in a band around the mean with two, four and six standard deviations of width.

<em>a) What is the approximate percentage of men between 169 and 183 cm? </em>

To calculate this in an empirical way, we compare the values of this interval with the mean and the standard deviation and can be seen that this interval is one-standard deviation around the mean:

\mu-\sigma=176-7=169\\\mu+\sigma=176+7=183

Empirically, for bell-shaped distributions and approximately normal, it can be said that 68% of the men fall between 169 cm and 183 cm of height.

<em>b) Between which 2 heights would 95% of men fall?</em>

This corresponds to ±2 standard deviations off the mean.

\mu-2\sigma=176-2*7=162\\\\\mu+2\sigma=176+2*7=190

95% of the men will fall between 162 cm and 190 cm.

<em>c) Is it unusual for a man to be more than 197 cm tall?</em>

The number of standard deviations of distance from the mean is

n=(197-176)/7=3

The percentage that lies outside 3 sigmas is 0.5%, so only 0.25% is expected to be 197 cm.

It can be said that is unusual for a man to be more than 197 cm tall.

3 0
3 years ago
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