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yaroslaw [1]
4 years ago
5

Find the value of x?

Mathematics
1 answer:
Burka [1]4 years ago
3 0

Answer:

<em>We </em><em>know </em><em>that </em><em>the </em><em>exterior </em><em>angle </em><em>of </em><em>a </em><em>triangle </em><em>is </em><em>equal </em><em>to </em><em>the </em><em>sum </em><em>of </em><em>two </em><em>opposite</em><em> </em><em>interior </em><em>angle. </em>

Step-by-step explanation:

So

25x + 57 + x = 45x

26x + 57 = 45x

57 = 45x - 26x

19x = 57

Therefore x = 3

Hope it will help you

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The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
bezimeni [28]
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
7 0
3 years ago
A worker is exposed to 98 dB for five hours and 82 dB for three hours, giving an eight-hour working day. On average, what noise
julia-pushkina [17]

Answer:

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Step-by-step explanation:

Use the mean formula, mean = sum of elements / number of elements.

Since it is a 8 hour work day, there are 8 elements.

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mean = (98 + 98 + 98 + 98 + 98 + 82 + 82 + 82) / 8

mean = 736 / 8

mean = 92

So, the average noise level is 92 dB

6 0
3 years ago
What is 1.2 liters - 200 milliliters
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Well if you want to know 1.2 liters in milliliters the answer is 1200 milliliters and if you want to know 2000 milliliters in liters than the answer is 2 liters.
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Answer

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Step-by-step explanation:

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