Pick the expression that matches this description:
a polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6
choose 1
@
726 – 624 + 5
®
71° +22² +6
© 627 – 2* + 5
o
6.25 +34 +7

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Ответ:

clapoint2003p3chnu

01.03.2022

Mathematics

$\triangle ABC\sim \triangle DEC\\ \\\angle B\cong \angle E\\ \\3BC=2EC$

Step-by-step explanation:

Right triangle ABC is reflected over AC to form triangle AFC.

Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.

Reflection is a rigid transformation which preserves lengths and angles, then

$\triangle ABC\cong \triangle AFC$

Dilation is a transformation which maps the triangle into similar triangle, so

$\triangle AFC \sim \triangle DEC$

Thus,

$\triangle ABC \sim \triangle DEC$

Similar triangle have congruent corresponding angles, so

$\angle B\cong \angle E$

and proportional corresponding sides

$\dfrac{BC}{EC}=\dfrac{AB}{DE}=\dfrac{2}{3}\Rightarrow \\ \\3BC=2EC\\ \\3AB=2DE$

Thus, correct options are:

$\triangle ABC\sim \triangle DEC\\ \\\angle B\cong \angle E\\ \\3BC=2EC$

Right triangle ABC is reflected over AC, then dilated by a scale factor of Two-thirds to form triang

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Pick the expression that matches this description: a polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6 choose 1 @ 726 – 624 + 5 ® 71° +22² +6 © 627 – 2* + 5 o 6.25 +34 +7