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frez [133]
3 years ago
14

What shortcut would you use to prove the triangle congruent?

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

ASA

Step-by-step explanation:

ASA because 2 corresponding angles are congruent. The two triangles also share a common side, so it is congruent to itself. Therefor, it is ASA.

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Simplify √(x^2-10x+25) if -5≤x&lt;5
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\qquad\qquad\huge\underline{{\sf Answer}}

Let's simplify ~

\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 10x + 25 }

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\qquad \sf  \dashrightarrow \: \sqrt{  {x}^{} (x- 5) - 5(x    - 5)  }

\qquad \sf  \dashrightarrow \: \sqrt{   (x- 5) (x    - 5)  }

\qquad \sf  \dashrightarrow \: \sqrt{   (x- 5)  {}^{2}  }

\qquad \sf  \dashrightarrow \: (x- 5)

value x lies between :

\qquad \sf  \dashrightarrow \: - 5 \leqslant x \leqslant 5

if the value of x is taken -5

\qquad \sf  \dashrightarrow \: - 5 - 5

\qquad \sf  \dashrightarrow \: - 10

if value of x is taken as 5

\qquad \sf  \dashrightarrow \:5 - 5

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So, the possible values of the required expression lies between ~

\qquad \sf  \dashrightarrow \: - 10 \leqslant  \sqrt{ {x}^{2} - 10x + 25 }  < 0

I hope you understood the whole procedure. let me know if you have any doubts in given steps ~

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