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Ne4ueva [31]
3 years ago
6

How can the Angle-Angle Similarity Postulate be used to prove the two triangles below are similar? Explain your answer using com

plete sentences, and provide evidence to support your claims

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

To use the AA postulate directly, you need to show that two corresponding angles are congruent. In order to show that here, you must calculate the value of one of the missing angle measures. Either of the missing angles can be found by invoking the fact that the sum of angles in a triangle is 180°.

After finding either missing angle, you can show that the measures of two angles in one triangle are identical to the measures of two angles in the other triangle, hence the triangles are similar by the AA postulate.

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pentagon [3]

Answer:

its the second one ........

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2 years ago
cable has 2 1/5 yard of rope. he uses 3/4 of the rope to make a dog leash. which expression can be used to represent 3/4 of 21/5
Greeley [361]

Answer:

B

Step-by-step explanation:

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7 0
2 years ago
What is the Mean,Mode and range of the set below?:
Zepler [3.9K]

Answer:

Set of numbers: 5, 6, 8, 10, 11, 15, 17, 25, 29, 29, 41, 50, 51, 52, 52, 54, 56, 57, 57

Mean: 32.89

Median: 29

Mode: 29, 52, 57

Range: 52

Step-by-step explanation:

The numbers are already ordered for us, so to find the mean, we need to add the numbers and divide the sum by the number of numbers. This gives us about 32.89.

The median is the middle number in the set, so right in the middle of the set is  29.

The range is the biggest number minus the smallest number, which would be 57-5 = 52.

Mode is the value or values in the data set that occur most frequently, which would be 29, 52, and 57, because they all occur the same number of times.

Happy learning and sorry for the late answer!

--Applepi101

7 0
2 years ago
Read 2 more answers
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 276, p = 0.06

So

\mu = E(X) = np = 276*0.06 = 16.56

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{276*0.06*0.94} = 3.9454

What is the probability that the sample proportion will be less than 0.1

This is the pvalue of Z when X = 0.1*276 = 27.6. So

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

Z = \frac{27.6 - 16.56}{3.9454}

Z = 2.8

Z = 2.8 has a pvalue of 0.9974

99.74% probability that the sample proportion will be less than 0.1

5 0
3 years ago
What’s the equation for A slope =2 through the point (2,1)?
Fiesta28 [93]

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation of the line

To find c substitute (2, 1) into the partial equation

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = 2x - 3 ← equation of line

4 0
3 years ago
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