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lions [1.4K]
3 years ago
7

Given: abcd is a rectangle. prove: abcd has congruent diagonals. identify the steps that complete the proof.

Mathematics
2 answers:
DedPeter [7]3 years ago
4 0
Parallel side theorem 
SAS
CPCTC
yawa3891 [41]3 years ago
3 0

there are two proofs both are attached in figure

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A high school guidance counselor determined the following information regarding students and their likelihood of playing a sport
iogann1982 [59]

Conditional Probability

Given two events A and B (not excluding), the probability that A occurs given that B has occurred is called a <em>conditional probability</em> and is calculated as:

P(A|B)=\frac{P(A\cap B)}{P(B)}

Where P(A∩B) is the probability that A and B occur simultaneously and P(B) is the probability that B occurs.

Now with the given data, we must find the values of the required probabilities.

30% of the students play a sport (S), this means that:

70% of the students don't play a sport (NS).

65% of the students have a job.

Note that there could be students who both play sports and have a job.

Of the 30% of the students who play a sport, 50% have a job. This means that:

15% of the students play a sport and don't have a job

15% of the students play a sport AND have a job

65% - 15% = 50% of the students have a job and don't play a sport

That last number is the numerator of the equation given above:

P(A∩B) = 0.5

The event B corresponds to students that don't play a sport (NS), thus:

P(B) = 0.7

Thus we have:

P(A|B)=\frac{0.5}{0.7}=\frac{5}{7}

The required probability is 5/7 or 0.7143

4 0
1 year ago
I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!
Helga [31]

Answer:

K. 8

N. 12

A. 29

H. 5

I. -297

G. 89

T. 50

S. -7

W. 165

WHAT'S SHAKING

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2 years ago
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F(x) = 15x3 + 29x2 + 6x – 8
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Answer: whats the question

Step-by-step explanation:

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Simplify (2 {sqrt 5}+ 3 {sqrt 7})^2. Show your work. Justify each step.
White raven [17]
(2√5 + 3(√7))^2
(2√5 + 3(√7))(2√5 + 3(√7))
4*5 + 6√35 + 6√35 + 9*7
20 + 12√35 + 63
20 + 63 + 12√35
83 + 12√35
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3 years ago
Question 1 of 10
svet-max [94.6K]

Answer:

B

Step-by-step explanation:

Secant-secant with vertex outside the circle

1/2(larger-smaller arc)

1/2(114-36)

1/2(78)

39

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