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Zarrin [17]
3 years ago
11

In the figure, is a median. If = 6 + 10 and = 2 + 12, find the length of . Show your work.

Mathematics
1 answer:
jonny [76]3 years ago
5 0

Answer:

26.

Step-by-step explanation:

Given, BD is a median. As it divides the AC equally, that's why it will AD=CD. Given, AD= 6x+10 and CD= 2x+12

Now, AD=  CD

or, 6x+10=2x+12

or, 6x-2x= 12-10

or, 4x= 2

or, x= 1/2

So the value of x is 1/2. As BD divided AC equally, both AD and CD will be equal and AD+CD= AC.

So, 6x+10+2x+12= AC

or, 8x+22= AC

or, 8 X (1/2) + 22= AC

or, 4+22 = AC

or, AC= 26.=

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Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

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Probability that families own a dog also own a cat : P(C|D)=0.22

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a) Formula to find conditional probability :

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Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

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