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Natali [406]
3 years ago
15

4. a) Which method can be used to prove the triangles congruent?

Mathematics
1 answer:
kogti [31]3 years ago
7 0
Side side side congruency theorem. if the three corresponding side in two triangles are congruent then the triangles are congruent
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Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area
julsineya [31]

Answer:

When finding for the area of a square ,the lenght will be squared automatically leading to a greater value which is greater that of the rectangle which is length multipled by Width

8 0
3 years ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
r-ruslan [8.4K]
The first thing you should do is to determine all the zeros, and you will have 7, -11, 2 + 6i, 2 - 6i.
 After that you have to <span>subtract and (x) from every each zero that you have above, which means 
</span>7-x, &#10;&#10; -11-x, &#10;&#10;2 + 6i-x,&#10;&#10; 2 - 6i-x&#10;
<span>And the last step is to multiply them together, and that's all you need! 
</span>(7-x)(-11-x)(2 + 6i-x)(2 - 6i-x)
<span>I am pretty sure that everything hase become clear! Regards.</span>
6 0
3 years ago
The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

Z = \frac{X - \mu}{\sigma}

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

Z = \frac{X - \mu}{\sigma}

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
Evaluate the expression 8x when x=2.
Dmitry [639]

Answer:

16

Step-by-step explanation:

8x

substitute

8(2)

parenthesis mean multiplication

16

3 0
3 years ago
Read 2 more answers
Find the value of the missing variables. all figures are kites
icang [17]
I believe that the answer is C. x - 114 : y - 34
7 0
3 years ago
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