. Use the given data to make a scatter plot, and describe the correlation.
Country
Area (mi?) Population
Guatemala
Honduras
El Salvador
Nicaragua
Costa Rica
Panama
42,467
43,715
8,206
50,503
19,929
30,498
12,728,111
7,483,763
6,948,073
5,675,356
4,133,884
3,242, 173

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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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. Use the given data to make a scatter plot, and describe the correlation. Country Area (mi?) Population Guatemala Honduras El Salvador Nicaragua Costa Rica Panama 42,467 43,715 8,206 50,503 19,929 30,498 12,728,111 7,483,763 6,948,073 5,675,356 4,133,884 3,242, 173