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Romashka [77]
3 years ago
15

Is it AAS Theorem ASA Posulate SAS Postulate or SSS Postulate

Mathematics
1 answer:
vredina [299]3 years ago
8 0
Answer: ASA Postulate

ASA postulate says that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent. 

In this example angle K and angle M are the two angles and line KM is the included side.
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Write an equation is point slope form of a line given that the slope is 2/3 and that the line
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Y-y1=m(x-x1)
y-(-2)=2/3(x-5)
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y=2/3x-10/3-2
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2 years ago
A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p
Arisa [49]

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

7 0
3 years ago
Activity 1.1 Simplify Me Simplify by removing perfect nth powers: 1. √20 2. √300 3. √128 3 4. √ 5 3 5. √50 3
LekaFEV [45]

Answer:

(a)\ \sqrt{20}=2\sqrt{5}

(b)\ \sqrt{300} = 10 \sqrt{3}

(c)\ \sqrt{128} = 8 \sqrt{2}

Step-by-step explanation:

Required

Simplify

(a)\ \sqrt{20}

Express 20 as 4 * 5

\sqrt{20}=\sqrt{4 * 5}

Split

\sqrt{20}=\sqrt{4} * \sqrt{5}

This gives:

\sqrt{20}=2 * \sqrt{5}

\sqrt{20}=2\sqrt{5}

(b)\ \sqrt{300

Express as 100 * 3

\sqrt{300} = \sqrt{100} * \sqrt{3}

This gives:

\sqrt{300} = 10 * \sqrt{3}

\sqrt{300} = 10 \sqrt{3}

(c)\ \sqrt{128}

Express as 64 * 2

\sqrt{128} = \sqrt{64*2}

Split

\sqrt{128} = \sqrt{64} * \sqrt{2}

\sqrt{128} = 8 * \sqrt{2}

\sqrt{128} = 8 \sqrt{2}

<em></em>

<em>Questions 4 and 5 are not clear</em>

<em>Follow the steps in 1 - 3 to solve 4 and 5</em>

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2 years ago
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tankabanditka [31]

Answer:

16n^2+40n+25

Step-by-step explanation:

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