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goldfiish [28.3K]
3 years ago
14

How many squares are there in in the figure at the right?

Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

The correct answer to the puzzle is 40 squares. That's right: It's not 8, 16, 24, 28 or 30, and we'll tell you why. The image is made up of eight tiny squares, 18 single squares, nine 2 x 2 squares, four 3 x 3 squares, and one 4 x 4 square

Step-by-step explanation:

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nataly862011 [7]

Answer:

Given: In triangle ABC and triangle DBE where DE is parallel to AC.

In ΔABC and ΔDBE

DE || AC   [Given]

As we know, a line that cuts across two or more parallel lines.  In the given figure, the line AB is a transversal.

Line segment  AB is transversal that intersects two parallel lines.  [Conclusion from statement 1.]

Corresponding angles theorem: two parallel lines are cut by a transversal, then the  corresponding angles are congruent.

then;

\angle BDE \cong \angle BAC  and

\angle BEC \cong \angle BCA

Reflexive property of equality states that if angles in geometric figures can be congruent to themselves.

by Reflexive property of equality:

\angle B \cong \angle B  

By AAA (Angle Angle Angle) similarity postulates states that all three pairs of corresponding angles are the same then, the triangles are similar

therefore, by AAA similarity postulates theorem

\triangle ABC \sim \triangle DBE

Similar triangles are triangles with equal corresponding angles and proportionate side.

then, we have;

\frac{BD}{BA}                  [By definition of similar triangles]

therefore, the missing statement and the reasons are

Statement                                                                   Reason

3.\angle BDE \cong \angle BAC      Corresponding angles theorem

and  \angle BEC \cong \angle BCA        

5. \triangle ABC \sim \triangle DBE   AAA similarity postulates    

6. BD over BA                                                    Definition of similar triangle



7 0
3 years ago
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Answer:

Step-by-step explanation:

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4 0
2 years ago
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jonny [76]

The main reason behind this is using properties of logarithm .

like

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There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur

like

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But

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Same happens in case of logarithm

6 0
2 years ago
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How many different triangles can be made with the angles 45 degree, 45 degree, 90degree ?
pychu [463]

Answer:

C: one triangle

Step-by-step explanation:

well a triangle = 180°

45+45=90

90+90=180

7 0
3 years ago
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