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Hatshy [7]
2 years ago
7

Both angle A & B are supplementary. If angle A is x and angle B is 3x, then what is x equal to AND what does angle B equal?

Mathematics
1 answer:
ryzh [129]2 years ago
7 0

Answer:

A= 45 degrees

And angle B= = 135 degrees

Step-by-step explanation:

Supplementary means that the sum of both angles is equal to 180 degrees.

< A= x

< B= 3x

<a+<B= 180

x+3x= 180

4x= 180

x= 180/4

x= 45

Therefore angle A= 45 degrees

And angle B= 3x= 3*45= 135 degrees

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What is y – 3 = 7 (x – 5) in standard form?
yuradex [85]

Answer:

38=7x-y

Step-by-step explanation:

standard form= Ax+By+C

(y-3=7(x-5))

(y-3=7x-35)+3 to both sides

(y=7x-38) +38 to both sides

(y+38=7x) -y to both sides

38=7x-y

you have to move the 38 and y because if you moved the x value, than A becomes negative and it can't be in standard form

8 0
3 years ago
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Find the area of the figure. (Sides meet at right angles.)
user100 [1]
Area is 50 m^2
5 x 3 = 15
7 x 5 = 35
35 + 15 = 50 m^2
6 0
2 years ago
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A data set includes 103 body temperatures of healthy adult humans having a mean of 98.3degreesF and a standard deviation of 0.73
faust18 [17]

Answer:

CI = (98.11 , 98.49)

The value of 98.6°F suggests that this is significantly higher

Step-by-step explanation:

Data provided in the question:

sample size, n = 103

Mean temperature, μ = 98.3

°

Standard deviation, σ = 0.73

Degrees of freedom, df = n - 1 = 102

Now,

For Confidence level of 99%, and df = 102, the t-value = 2.62      [from the standard t table]

Therefore,

CI = (Mean - \frac{t\times\sigma}{\sqrt{n}},Mean + \frac{t\times\sigma}{\sqrt{n}})

Thus,

Lower limit of CI =  (Mean - \frac{t\times\sigma}{\sqrt{n}})

or

Lower limit of CI =  (98.3 - \frac{2.62\times0.73}{\sqrt{103}})

or

Lower limit of CI = 98.11

and,

Upper limit of CI =  (Mean + \frac{t\times\sigma}{\sqrt{n}})

or

Upper limit of CI =  (98.3 + \frac{2.62\times0.73}{\sqrt{103}})

or

Upper limit of CI = 98.49

Hence,

CI = (98.11 , 98.49)

The value of 98.6°F suggests that this is significantly higher and  the mean temperature could very possibly be 98.6°F

7 0
3 years ago
5/7 3/5 common denominator
melamori03 [73]
The common denominator is 35

Multiply 5/7 top and bottom by 5

Multiply 3/5 top and bottom by 7
6 0
3 years ago
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What would be the LCD of 1/6 &amp; 3/8?
slega [8]

Answer:

24

Step-by-step explanation:

Rewriting input as fractions if necessary:

1/6, 3/8

For the denominators (6, 8) the least common multiple (LCM) is 24.

LCM(6, 8)

Therefore, the least common denominator (LCD) is 24.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/6 = 1/6 × 4/4 = 4/24

3/8 = 3/8 × 3/3 = 9/24

7 0
3 years ago
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