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3 years ago

What is the answer to this question smart people

Mathematics

1 answer:

Paladinen [302]3 years ago

4 0

Answer:
SAS

Explanation:
To prove congruency by:
1- SSS:
Each side in the first triangle should be congruent to the corresponding side in the second triangle.
2- SAS:
Two sides and the INCLUDED angle between them in one triangle should be congruent to the corresponding two sides and the INCLUDED angled in the second. If the angle is not included between the two sided, SAS becomes invalid
3- AAS:
Two angles and one side in one triangle should be congruent to the corresponding two angles and side in the other triangle

In the given triangles we have:
AS = KS
angle 6 = angle 9
SC is a common side between the two triangles

We can note that:
angle 6 is the angle included between AS and SC in the first triangle
angle 9 is the angle included between KS and SC in the second triangle

Therefore:
We have two sides and an included angle in the first triangle congruent to the corresponding two sides and the included angle in the second.

Therefore, we can prove the two triangles to be congruent using SAS postulate

Hope this helps :)

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Step-by-step explanation:

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3 years ago

The time it takes a customer service complaint to be settled at a small department store is normally distributed with a mean of

noname [10]

Answer:

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 10 minutes and a standard deviation of 3 minutes

This means that $\mu = 10, \sigma = 3$

Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.

This is 1 subtracted by the p-value of Z when X = 15, so:

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

$Z = \frac{15 - 10}{3}$

$Z = 1.67$

$Z = 1.67$ has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.

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3 years ago

The compound periods multiplied by the number of years is 4t. The initial number of cars serviced is 920. The growth factor is r

Mrac [35]

The number of compounding per year is $N = 920(1+0.03)^4t$

<h3>How can the number of compounding per year be calculated?</h3>

This can be calculated by making use of the formular; 920(1.03)^4t and use the compound interest equation which is N=P( 1+r/n)^nt

We know that 12% was given as the rate per year, then to get the quarter rate we divide by factor of 4, which is 12/4= 3%

The compounding for t years = n*t = 4t where n=4.

and the Initial number of cars serviced=920

Then we can substitute the values into the above equation, we have Thus $N = 920(1+0.03)^4t$

Learn more about compound interest at:

brainly.com/question/13023589

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CHECK THE COMPLETE QUESTION BELOW:

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. A car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012. Create an exponential expression to model the number of cars serviced after t years. Then, match each part of the exponential expression to what it represents in the context of the situation. 920(1.03) is the number of cars multiplied by 1.03. The quarterly rate of growth is 0.03 or 3%. The compound periods multiplied by the number of years is 4t. The initial number of cars serviced is 920. The growth factor is represented by 1.03. The growth rate is 1.03. Exponent arrowRight Base arrowRight Coefficient arrowRight Rate arrowRight

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