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kherson [118]
2 years ago
10

Prove the two triangles congruent. sas sss asa aas hl not congruent

Mathematics
1 answer:
ivanzaharov [21]2 years ago
6 0

Answer:

SAS because there congruent and each side has the same degree

Step-by-step explanation:

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What is x: 1.5x - 6=7.5
enot [183]

\large\text{Hey there!}

\mathsf{1.5x - 6=7.5}\\\mathsf{\bf{\underline{ADD}}}\mathsf{\ by\ 6\ on\ both\ of\ your\ sides}\\\mathsf{1.5x-6+6=7.5+6}\\\mathsf{Cancel\ out: -6+6\ because\ it\ equals\ 0}\\\mathsf{Keep:7.5+6\ because\ it\ helps\ us\ solve\ for\ your\ answer}\\\mathsf{7.5 + 6=13.5}\\\mathsf{We\ get: 1.5x=13.5}\\\mathsf{\bf{\underline{Divide}}}\mathsf{\ both\ sides\ by\ 1.5\ on\ your\ sides}\\\mathsf{\dfrac{1.5x}{1.5}=\dfrac{13.5}{1.5}}\\\\\mathsf{Cancel\ out: \dfrac{1.5x}{1.5}\ because\ it\ equals\ 1}

\mathsf{Keep: \dfrac{13.5}{1.5}\ because\ it\ gives\ you\ x}\\\\\mathsf{\dfrac{13.5}{1.5}=13.5\div1.5\rightarrow9}\\\\\\\boxed{\boxed{\mathsf{\bf{Your\ ANSWER: \boxed{\mathsf{x=9}}}}}}\checkmark

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7 0
3 years ago
Please solve for the triangle! Thank you
Katena32 [7]
78-32=56
56=2x
x=28

X is equivalent to 28
3 0
3 years ago
What numbers add to 2 and multiply to -56
marta [7]

The numbers are irrational, so they can't be exactly written down
using only digits.

In exact form, they are

     1 + √57
and
     1 - √57 .

In rounded form, they are

     8.54983
and
    -6.54983 .
5 0
3 years ago
Read 2 more answers
4- A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produ
galben [10]

Answer:

\\ \mu = 118\;grams\;and\;\sigma=30\;grams

Step-by-step explanation:

We need to use z-scores and a standard normal table to find the values that corresponds to the probabilities given, and then to solve a system of equations to find \\ \mu\;and\;\sigma.

<h3>First Case: items from 100 grams to the mean</h3>

For finding probabilities that corresponds to z-scores, we are going to use here a <u>Standard Normal Table </u><u><em>for cumulative probabilities from the mean </em></u><em>(Standard normal table. Cumulative from the mean (0 to Z), 2020, in Wikipedia) </em>that is, the "probability that a statistic is between 0 (the mean) and Z".

A value of a z-score for the probability P(100<x<mean) = 22.57% = 0.2257 corresponds to a value of z-score = 0.6, that is, the value is 0.6 standard deviations from the mean. Since this value is <em>below the mean</em> ("the items produced weigh between 100 grams up to the mean"), then the z-score is negative.

Then

\\ z = -0.6\;and\;z = \frac{x-\mu}{\sigma}

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

<h3>Second Case: items from the mean up to 190 grams</h3>

We can apply the same procedure as before. A value of a z-score for the probability P(mean<x<190) = 49.18% = 0.4918 corresponds to a value of z-score = 2.4, which is positive since it is after the mean.

Then

\\ z =2.4\;and\; z = \frac{x-\mu}{\sigma}

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

<h3>Solving a system of equations for values of the mean and standard deviation</h3>

Having equations (1) and (2), we can form a system of two equations and two unknowns values:

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

Rearranging these two equations:

\\ -0.6*\sigma = 100-\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

To solve this system of equations, we can multiply (1) by -1, and them sum the two resulting equation:

\\ 0.6*\sigma = -100+\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

Summing both equations, we obtain the following equation:

\\ 3.0*\sigma = 90

Then

\\ \sigma = \frac{90}{3.0} = 30

To find the value of the mean, we need to substitute the value obtained for the standard deviation in equation (2):

\\ 2.4*30 = 190-\mu (2)

\\ 2.4*30 - 190 = -\mu

\\ -2.4*30 + 190 = \mu

\\ \mu = 118

7 0
3 years ago
Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a
lutik1710 [3]

The number of classes Anna can take so the total cost for the month will be the same is 5.

The monthly cost would be  $37.50.

<h3>When would the total cost be the same?</h3>

When the monthly cost is equal, both equations would be equal: 7.5x = 5.5x + 10

In order to determine the value of x, take the following steps:

  • Combine similar terms: 7.5x - 5.5x = 10
  • Add similar terms: 2x = 10
  • Divide both sides by 2 : 10 /2 = 5

Monthly cost when the cost is the same: 7.5 x 5 = $37.50

To learn more about cost, please check: brainly.com/question/25711114

#SPJ1

7 0
1 year ago
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