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sammy [17]
2 years ago
11

Find the missing side length of S

Mathematics
1 answer:
rjkz [21]2 years ago
3 0

Answer:

s=12

Step-by-step explanation:

Since we know that triangle ABC is similar to XYZ, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of s.

\frac{XY}{AB}=\frac{XZ}{AC}\\\\\frac{9}{6} =\frac{s}{8}\\\frac{8*9}{6} =s\\s=72/6=12\\s=12

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A quadrilateral is sometimes a square? <br><br> True or False
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john had a ribbon that was 1 1/2 meters long. he used 2 pieces that were each 1/3 of that length. how much ribbon did john use
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3 years ago
Rewrite the following quadratic functions in intercept or factored form. Show your work.
Vlad [161]

Answer:

y = (2x + 3)(2x + 3) = (2x + 3)²

Step-by-step explanation:

We are given a quadratic function and we have to write it in factored form.

y = 9 + 12x + 4x²

y = 4x² + 12x + 9

We can break the mid-term in such a way that when they are multiplied, the factors give a product of 36x² and when added, they give a result of 12x, as show below:

y = 4x² + 6x + 6x + 9

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Given the sample 4, −2, −6, 19, 6, add one more sample value that will neither change the mean nor the variance. Round to two de
DedPeter [7]

Answer:

Cannot create sample

Step-by-step explanation:

We are given the following in the question:

4, -2, -6, 19, 6

Formula:

\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{21}{5} = 4.2

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8

s^2 = \dfrac{364.8}{4}} = 91.2

If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.

New sample:

4, -2, -6, 19, 6, 4.2

Mean =\displaystyle\frac{25.2}{6} = 4.2

Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8

s^2 = \dfrac{364.8}{5}} = 72.96

Thus, the variance of new sample changes.

Thus, it is not possible to create a sample.

5 0
3 years ago
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