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Alja [10]
3 years ago
10

Select the ratio equivalent to 8:2A. 24:10 B. 4:2C.4:1D. 32:12​

Mathematics
1 answer:
Mama L [17]3 years ago
4 0

Answer:

C)

Step-by-step explanation:

If you divide 8:2 by two you get 4:1 which is the equivilant ratio.

Hope this helps.

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Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence
Dmitry_Shevchenko [17]

Answer:

The A) ΔABC ≅ ΔEDC

Step-by-step explanation:

The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.

As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.

3 0
3 years ago
Read 2 more answers
Shoe sizes for men in the United States are known to follow a normal distribution. If you calculated the z-score of a man's shoe
anastassius [24]

Answer:

This value means that his shoe size is 2.9 deviations above the population mean.

And we can find the approximate percentile for his measure like this:

P(Z

This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the shoe size of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

Where \mu represent the mean and \sigma the population standard deviation.

For this case we know that a man obtain a z score of z=2.9

This value means that his shoe size is 2.9 deviations above the population mean.

And we can find the approximate percentile for his measure like this:

P(Z

This correspond to the 99.8 percentile, so then his shoe size is 99.8% above all the shoe sizes.

3 0
4 years ago
What are the intercepts of the graphed function?
PSYCHO15rus [73]

Answer:

d

Step-by-step explanation:

4 0
3 years ago
Simplify completely the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times
KIM [24]
\dfrac{10x^6y^3+ 20x^3y^2}{5x^3y}

=  \dfrac{10x^3y^2(x^3y + 2)}{5x^3y}

= 2y(x^3y + 2)
8 0
3 years ago
Read 2 more answers
The observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level
Paul [167]

Answer: The the speed of elevators is 22.55.

Explanation:

It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.

The speed is the change in distance with respect to time.

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}

From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,

\text{Average Speed}=\frac{1353}{60}

\text{Average Speed}=22.55

Therefore, the speed of elevators is 22.55.

8 0
3 years ago
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