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My name is Ann [436]
1 year ago
12

Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.

Mathematics
1 answer:
const2013 [10]1 year ago
3 0

Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH

<h3>How to determine the correct rephrase of the proof about parallelogram diagonals</h3>

The diagonals refer to the lines running between the two opposite ends of the parallelogram

Bisecting means sharing into two equal parts

congruent means a copy that is equal in dimension hence can be used in place of the other image  

The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.

Learn more on diagonals of a parallelogram

brainly.com/question/17920093

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Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a  box 10 marbles are picked without replacement.

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Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

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n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.

Therefore, the probability of event E is given by

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.

Thus, the required probability is 0.26.

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