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3 years ago

The proof that ΔABC ≅ ΔCDA is shown.

Mathematics

2 answers:

Harman [31]3 years ago

7 0

Answer: D. SSS congruence theorem

Step-by-step explanation:

In the given proof we have in ΔABC ≅ ΔCDA

AB ≅ CD; BC ≅ DA [ opposite sides of a parallelogram are ≅]

AC ≅ AC [ reflexive property]

Therefore by SSS postulate of congruence ΔABC ≅ ΔCDA .

The SSS postulate says that if all the three sides of a triangle is equal to all the three sides of another triangle then the triangles are said to be congruent.

adell [148]3 years ago

3 0

It would be the sss congruence theorem

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Which choice is equivalent to the expression below?

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3 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

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0.3968 = 39.68% probability this shipment passes inspection.

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3 years ago

In a survey of 2300 people who owned a certain type of car, 1035 said they would buy that type of car again. What percent of th

vivado [14]

Answer:

45%

Step-by-step explanation:

1. We assume, that the number 2300 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 2300, so we can write it down as 100%=2300.

4. We know, that x% equals 1035 of the output value, so we can write it down as x%=1035.

5. Now we have two simple equations:

1) 100%=2300

2) x%=1035

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=2300/1035

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1035 is what percent of 2300

100%/x%=2300/1035

(100/x)*x=(2300/1035)*x - we multiply both sides of the equation by x

100=2.2222222222222*x - we divide both sides of the equation by (2.2222222222222) to get x

100/2.2222222222222=x

45=x

x=45

4 0

3 years ago

Read 2 more answers

Ill mark brainliest lol "proportions"

Maslowich

Answer: I'm pretty sure it's 4.

Step-by-step explanation: I think there's a pattern here, because if the bigger one has all sides equal, then the smaller one has to have all sides equal. It's the principal of the thing. (Welcome to Baldi's Basics in education and learning!!!!!!!!) I HOPE THIS HELPED!!!!!!!!!!!!!!!!!!!!

5 0

3 years ago

Read 2 more answers