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Usimov [2.4K]
2 years ago
8

The length of the sides DEF are 12,16,and 20. Find the perimeter of the triangle formed by connection the midpoints of the sides

of DEF
Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
6 0

Answer:

  • 24 units

Step-by-step explanation:

According to the midsegment theorem, the length of each side of the formed triangle is the half the parallel side of DEF.

<u>So the perimeter is:</u>

  • P = 1/2(12 + 16 + 20) = 24
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Answer:

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B.

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A.

Follow the pattern of $0.35

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3 years ago
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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

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

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

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

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
A survey of 30 students in line during registration revealed that 5 were Math majors,
Andreyy89

Answer:

23.333 percent

Step-by-step explanation:

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3 years ago
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Pythagoras anyone???
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8^2 + 5^2 = 64+25 = 89 = square root 89
I don't have a calculator on me lol.

that specific side opposite the right angle is always the longest angle
a^2+b^2=c^2
7 0
3 years ago
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