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Gemiola [76]
2 years ago
13

3. What additional information do you need to prove AABC = ADEF by the SAS Postulate?

Mathematics
1 answer:
Elden [556K]2 years ago
6 0

Answer:

∠ACB = ∠DFE

Step-by-step explanation:

In SAS postulate,

S refers to Side.

A refers to Angle.

In the triangles, △ABC and △DEF,

AC = DF ( Side )

CB = FE ( Side )

The additional information required to prove is <u>Angle</u>.

Angle between sides AC and CB in △ABC and Angle between sides CB and FE in △DEF respectively.

Angle between sides AC and CB is ∠ACB.

Angle between sides CB and FE is ∠DFE.

So according to SAS postulate,

∠ACB = ∠DFE

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Answer:

7 glasses/bottles :)

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3 years ago
It is Converse, contrapositive and Inverse
Klio2033 [76]

Answer:

if you eat broccoli then you eat vegetable

converse: if you eat vegetables then you eat broccoli

inverse: if you don't eat broccoli then you don't eat vegetables

contrapositive: if you don't eat vegetables then you don't eat broccoli

Step-by-step explanation:

converse: q to p

inverse: not p not q

contrapositive: not q not p

7 0
3 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

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

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
Answer the question pls xx
yKpoI14uk [10]

Answer:

3 lines of symmetry

Step-by-step explanation:

the lines go through the vertices of the triangle

3 0
3 years ago
Look at the photo pick A B C D either one explanation not needed thank you! &lt;3
jonny [76]

Answer:

The answer is C::+3.5625

6 0
3 years ago
Read 2 more answers
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