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Sunny_sXe [5.5K]
3 years ago
5

Which rigid transformation(s) would map ΔJKL onto ΔPQR? a reflection only a rotation only a rotation and a reflection a translat

ion and a reflection a translation only

Mathematics
2 answers:
solniwko [45]3 years ago
6 0

Step-by-step explanation:

A rigid transnformation is also know as isometrie. <u>This are transformations of the plane that preserves the lengths</u>. There are 3 types of isometries and each one can be combined with the others.

  • Reflection (First figure)
  • Translation (second figure)
  • Rotation (third figure)

Combining this transformations you will be able to transform ΔJKL onto ΔPQR

gayaneshka [121]3 years ago
5 0

Answer:

A). a reflection only

C). a rotation and a reflection

D). a translation and a reflection

Step-by-step explanation:

<em> </em>I did this on Edge.

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How do I do this question
aliya0001 [1]

Answer:

Step-by-step explanation:

Join OB.

∠A=∠A  (common)

\frac{AP}{AO} =\frac{\frac{1}{2} AO}{AO} =\frac{1}{2} \\\frac{AQ}{AB} =\frac{\frac{1}{2} AB}{AB} =\frac{1}{2} \\\frac{AP}{AO} =\frac{AQ}{AB}

∴ ΔAPO and ΔAOB are similar.

\frac{PQ}{OB} =\frac{1}{2} \\

∠P=∠O

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Similarly RS║OB

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7 0
3 years ago
In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0
uysha [10]

Answer:

a) A response of 8.9 represents the 92nd ​percentile.

b) A response of 6.6 represents the 62nd ​percentile.

c) A response of 4.4 represents the first ​quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) We have to find the value of x such that the probability is 0.92

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9

A response of 8.9 represents the 92nd ​percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6

A response of 6.6 represents the 62nd ​percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4

A response of 4.4 represents the first ​quartile.

4 0
3 years ago
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