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Sonja [21]
2 years ago
9

Identify the correct corresponding parts

Mathematics
1 answer:
andrey2020 [161]2 years ago
3 0

Answer:

The correct corresponding part is;

\overline {CB} ≅ \overline {CD}

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment \overline {CA} is congruent to \overline {CE} ( \overline {CA} ≅ \overline {CE})

Segment \overline {CB} is congruent to \overline {CD} ( \overline {CB} ≅ \overline {CD})

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment \overline {AB} is congruent to \overline {DE} (\overline {AB} ≅ \overline {DE}) by CPCTC

Segment \overline {AE} bisects \overline {BD}

Segment \overline {BD} bisects \overline {AE}

Therefore, the correct option is \overline {CB} ≅ \overline {CD}

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In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known t
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Answer:

What is the probability that a randomly selected family owns a cat? 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat? 82.4%

Step-by-step explanation: We can use a Venn (attached) diagram to describe this situation:

Imagine a community of 100 families (we can assum a number, because in the end, it does not matter)

So, 30% of the families own a dog = .30*100 = 30

20% of the families that own a dog also own a cat = 0.2*30 = 6

34% of all the families own a cat = 0.34*100 = 34

Dogs and cats: 6

Only dogs: 30 - 6 = 24

Only cats: 34 - 6 = 28

Not cat and dogs: 24+6+28 = 58; 100 - 58 = 42

What is the probability that a randomly selected family owns a cat?

34/100 = 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

A = doesn't own a dog

B = owns a cat

P(A|B) = P(A∩B)/P(B) = 28/34 = 82.4%

5 0
2 years ago
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Every whole number is positive true or false?​
Digiron [165]

Answer:

true (djdjdjdjdjfjfj)

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What is the value of the function at x = - 2 a y= -2 b y = 0 c y= 2 d y= 3
Ahat [919]

Answer:

C

Step-by-step explanation:

To find the value of the function at x = - 2

Locate x = - 2 on the x- axis then go up vertically until the line is met.

The read the corresponding value of y from the y- axis

x = - 2 ⇒ y = 2 → C

6 0
3 years ago
In a college of 400 students, 45% are girls. Of the boys, 30% are football players. How many boys are football players?
Archy [21]

Answer:

B. 66

Step-by-step explanation:

45% of 400

.45 x 400 = 180     (number of girls)

400 - 180 = 220     (number of boys)

30% of 220

.30 x 220 = 66

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3 years ago
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A bag contains 4 blue marbles and 3 red marbles. What is the probability of picking a blue marble, putting it back in the bag, t
patriot [66]

Answer:

3/14

Step-by-step explanation:

P=3/(3+4+7)=3/14 because each of 14 marbles is equally likely to be drawn.

Hope this helped :)

Have a great day!

8 0
2 years ago
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