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I need help with questions 9 & 11 please help

I Need Help With Questions 9 Amp 11 Please Help class=

Sagot :

9) The rectangles are similar since the angles are equal and the sides are proportional.

So the answer is YES.

10)In triangle ABC and NML,

[tex]\begin{gathered} \angle L+\angle N=90 \\ \angle L=90-55=35 \end{gathered}[/tex]

So angle L = angle C

angle M= angle B=90

So the triangles are similar by AA test.

So the answer is YES.

11) Since the triangles are similar the sides are proportional so it follows:

[tex]\begin{gathered} \frac{12}{3}=\frac{20}{x} \\ x=\frac{20}{4} \\ x=5 \end{gathered}[/tex]

Hence the value of x is 5.

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