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1 year ago

Indicate the method you would use to prove the two 's . If no method applies, enter "none". SSS SAS ASA AAS None

Mathematics

2 answers:

Goryan [66]1 year ago

6 0

Answer: ASA method must be applied to the given triangles to prove then congruent.

In two triangles, if two angles and their included side are congruent then the two triangles are said to be congruent .This method is known as Angle-Side -Angle postulate(ASA).

In the given triangles one side with their corresponding angles are equal. Therefore by ASA postulate they are congruent.

There we can see no other sides are given equal therefore all the other options cannot be applied.

Lorico [155]1 year ago

5 0

ASA
is your andswer i just got this correct.

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According to a human modeling project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 ce

Yakvenalex [24]

Answer:

26.11% of women in the United States will wear a size 6 or smaller

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

$\mu = 23.3, \sigma = 1.4$

In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or smaller?

This is the pvalue of Z when X = 22.4. So

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

$Z = \frac{22.4 - 23.3}{1.4}$

$Z = -0.64$

$Z = -0.64$ has a pvalue of 0.2611

26.11% of women in the United States will wear a size 6 or smaller

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2 years ago

A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is

docker41 [41]

Answer:

111 spots

Step-by-step explanation:

Let y denote the total number of parking spots expressed as:

$y=\frac{15x}{4}-9\\\\$

Given that x is the number of spots in the first row.

-Now, given that the first row has 32 spots, we substitute in the expression to solve for y:

$y=\frac{15x}{4}-9,\ \ x=32\\\\=\frac{15\times 32}{4}-9\\\\=120-9\\\\=111$

Hence, there are 111 spots in the parking lot.

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2 years ago

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kifflom [539]

Answer: B
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$935.54 - $30 = $905.54

However, the line after the $30 says $900.59, which is incorrect.

Hope this helps!

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2 years ago

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The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular p

IrinaK [193]

The first one is the answer because

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2 years ago

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SpyIntel [72]

Answer:

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

\frac{m^{5}}{3^{3}6 n^{1} }

Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer. 23

Step-by-step explanation:

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1 year ago

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