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Paladinen [302]
3 years ago
10

Help please asap!! will mark brainliest!!!!! its timed

Mathematics
2 answers:
sammy [17]3 years ago
6 0

Answer:

m∠ABD = 140° and m∠DBC = 40°

Step-by-step explanation:

∵ ABC is a straight angle

∴ m∠ABD + m∠DBC = 180°

∴ 15x - 4 + 5x - 8 = 180

∴ 20x - 12 = 180

∴ 20x = 180 + 12

∴ 20x = 192

∴ x = 192/20 = 9.6

∴ m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°

∴ m∠DBC = 180 - 140 = 40° ( 5(9.6) - 8 = 48 - 8 = 40°)

Kay [80]3 years ago
4 0

Answer:

<ABD = 140°

<DBC = 40°

Step-by-step explanation:

<ABD + <DBC = 180°

15x - 4 + 5x - 8 = 180

20x - 12 = 180

20x = 192

x = 9.6

<ABD = 15(9.6) - 4 = 140°

<DBC = 5(9.6) - 8 = 40°

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
X+x-z; use x=3 &amp; z=4​
nadezda [96]

Answer:

2

Step-by-step explanation:

Order of operations is not as applicable in this situation because we're just dealing with addition and subtraction.  This is a simple case of plugging in values for the given expression.

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6 0
3 years ago
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
Plz help me evaluate this expression :
snow_tiger [21]
The answer is C. (2jk)^-2
6 0
3 years ago
Warm up. help please
vampirchik [111]
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Try the others For yourself!

3 0
3 years ago
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