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Mathematics, 25.06.2021 01:00 kebo63

If the figure is rotated 90 degrees clockwise about the origin , what are the coordinates of H?


If the figure is rotated 90 degrees clockwise about the origin , what are the coordinates of H?

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Answers: 3
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Answer from: Quest

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )

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Answer from: Quest
Cis your correct answer
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Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

ab^2+ac^2=bc^2

ab^2+ac^2=x^2                       )

triangle abd and cba are similar,

\frac{ab}{bc}=\frac{bd}{ab}

ab^2=bc\cdot bd

25=bc\cdot bd                             (2)

triangle cad and cba are similar,

\frac{ac}{bc}=\frac{cd}{ac}

ac^2=bc\cdot dc

7\times 7=bc\cdot dc

49=bc\cdot dc                       )

using (1), (2) and (3), we get

25+49=x^2

74=x^2

hence proved.

therefore option 2 is correct.

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If the figure is rotated 90 degrees clockwise about the origin , what are the coordinates of H?

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