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kompoz [17]
3 years ago
6

Find the value of x that makes ABCD a parallelogram.

Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.

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3 decagrams = centgrams
notsponge [240]

Answer:

3,000

Step-by-step explanation:

Just multiply every decagram by 1,000

7 0
3 years ago
Question:
faltersainse [42]

Answer:

The probability that a ship that is declared defecive is sound is 0.375

Step-by-step explanation:

Let P(A|B) denote the conditional probability of A given B. We will make use of the equation

P(A|B) = P(A) × P(B|A) / P(B)

We have the probabilities:

  • P(Declared Defective (detected) | Defective) = 0.95
  • P(not Detected | Defective) = 1-0.95=0.05
  • P(Declared Sound | Sound) = 0.97
  • P(Declared Defective |Sound) = 1-0.97=0.03
  • P(Defective)=0.05
  • P(Sound)= 1- 0.05 = 0.95

We can calculate:

P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076

P(S | Declared Defective) =

(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)

=0.95×0.03 /0.076 =0.375

3 0
3 years ago
Isabel bought a new jacket for $48 before tax. She paid 6.5% in sales tax. How much was the sales tax?
AleksandrR [38]
C) $3.12
$48*.065=$3.12
6 0
3 years ago
Which quantity is proportional to 35/80
Talja [164]

Answer:

35/80

u want to find a number that is proportional to 35/80, then all u need is a number that is equivalent...another words, if it is proportional, it is an equivalent fraction to 35/80.

there can be several answers to this...such as 35/80 reduces to 7/16...so 7/16 is proportional....or if u multiply numerator and denominator by the same number, u will find a proportional number...

example :

35/80 * 2/2 = 70/160...this is proportional

35/80 * 3/3 = 105/240...this is proportional

35/80 * 4/4 = 140/320...this is also proportional

and so on....

so without giving us any answer choices, there can be many numbers to choose from

6 0
3 years ago
A server at Teresita’s Mexican Restaurant had a gallon container of salsa that was half full. She needed to fill 18 salsa dishes
lesya692 [45]

Answer:

since she has half a gallon and needs to split that between 18 dishes equally this means that 1/2÷18=1/36. each dish will have 1/36 of a gallon of salsa

3 0
2 years ago
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