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fenix001 [56]
3 years ago
13

Solve for x. Show the equation you used and your work.

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
4 0

Solution:

From the given figure , Triangle TVW and triangle TSU are silmilar triangles.

From the property of similar triangle, ratio of corresponding sides of similar triangles are equal.

Which means ratio of corresponding sides of triangle TVW and TSU are equal

That is,

=>\frac{ TS}{TV} =\frac{ TU}{TW}\\\\=>\frac{ TV+VS}{TV} =\frac{ TW+WU}{TW}\\\\=>\frac{ 14+6}{14} = \frac{ 21+x+4}{21}\\\\=>\frac{ 20}{14} = \frac{ 25+x}{21}\\=>25+x = \frac{ 20 *21}{14} = 30\\=> x= 30-25=5

Hence, x = 5.

kirza4 [7]3 years ago
3 0
ST/VT = UT/WT6+14/14  = (x+4)+21/21X= 20*21/14 - 21x=420/14-25X=30-25x=5
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Choose the inequality that represents the following graph.
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Answer:

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Step-by-step explanation:

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If p(x)= 2^x, what is the value of p(3) - p(2)?
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Answer:

4

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2 years ago
Imagine that you have a very large barrel that contains tens of thousands of M&M's. According to the official M&M websit
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Answer:

(A)20%, 20%, 20%, 20%, 20%

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5 0
3 years ago
The polynomial 6x^2 +37-60 represents an integer. Which expressions represents integer factors of 6x^2+37-60 for all values of x
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Step-by-step explanation:

3 0
3 years ago
A factory worker productivity is normally distributed. one worker produces an average of 75 units per day with a standard deviat
Angelina_Jolie [31]
Let Xi be the random variable representing the number of units the first worker produces in day i.
Define X = X1 + X2 + X3 + X4 + X5 as the random variable representing the number of units the
first worker produces during the entire week. It is easy to prove that X is normally distributed with mean µx = 5·75 = 375 and standard deviation σx = 20√5.
Similarly, define random variables Y1, Y2,...,Y5 representing the number of units produces by
the second worker during each of the five days and define Y = Y1 + Y2 + Y3 + Y4 + Y5. Again, Y is normally distributed with mean µy = 5·65 = 325 and standard deviation σy = 25√5. Of course, we assume that X and Y are independent. The problem asks for P(X > Y ) or in other words for P(X −Y > 0). It is a quite surprising fact that the random variable U = X−Y , the difference between X and Y , is also normally distributed with mean µU = µx−µy = 375−325 = 50 and standard deviation σU, where σ2 U = σ2 x+σ2 y = 400·5+625·5 = 1025·5 = 5125. It follows that σU = √5125. A reference to the above fact can be found online at http://mathworld.wolfram.com/NormalDifferenceDistribution.html.
Now everything reduces to finding P(U > 0) P(U > 0) = P(U −50 √5125 > − 50 √5125)≈ P(Z > −0.69843) ≈ 0.757546   .
5 0
3 years ago
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