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Slav-nsk [51]
3 years ago
10

HELP PICTURE IS SHOWN

Mathematics
2 answers:
ratelena [41]3 years ago
7 0
They're congruent because SAS:

angle B is between side lengths AB and BC on triangle ABC

So the order goes Side, Angle, Side for the parts that are congruent in the triangle

Thus, the correct answer is option B.

Hope this helped! :)
nikitadnepr [17]3 years ago
5 0
Correct option is B
Two sides are equal and the angle contained between them are equal.
So it is SAS Side Angle Side
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Roll the number cube to find the observed frequency. Which statements are true? Check all that apply
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Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

Total = 11 + 16 + 14 + 20 + 12 + 17

Total = 90

<u>(a): Relative frequency of 4 is 2/9</u>

Relative frequency is calculated by:

RF= \frac{Observed\ Frequency}{Total}

For roll 4

Observed\ frequency = 20

So, the relative frequency is:

RF = \frac{20}{90}

Simplify

RF = \frac{2}{9}

<em>(a) is true</em>

<u>(b): Experimental probability of 3 greater than its theoretical probability</u>

The experimental probability is its relative frequency;

For roll 3

Observed\ frequency = 14

The experimental probability is:

Pr = \frac{14}{90}

Simplify

Pr = \frac{7}{45} = 0.156

To calculate  the theoretical probability, w have:

S = \{1,2,3,4,5,6\} ---- sample space

n(S)= 6

n(3) = 1 --- number of times 3 occur

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The theoretical probability is greater\ than\ the experimental probability.

<em>(b) is false</em>

<u>(c): Experimental probability of 2 greater than its theoretical probability</u>

Using the explanations in (b), we have:

For roll 2

Observed\ frequency = 16

The experimental probability is:

Pr = \frac{16}{90}

Simplify

Pr = \frac{8}{45} = 0.178

To calculate the theoretical probability, we have:

n(S)= 6

n(2) = 1

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The experimental probability is greater\ than\ the theoretical probability.

<em>(c) is true</em>

<u>(d): Relative frequency of 5 is 2/13</u>

For roll 5

Observed\ frequency = 12

The relative frequency is:

RF = \frac{12}{90}

Simplify

RF = \frac{2}{15}

<em>(d) is true</em>

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