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Sever21 [200]
3 years ago
5

Write 4–6 sentences explaining why it is important to have precise definitions in mathematics.

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0
Mathematics can be tricky so precise definitions are important. Without them there can be confusion which more often then not will generate a wrong answer. With clear precise definitions it is easier to understand the topic. Therefore, it is easier to get the correct answer.
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HEY CAN ANYONE HELP ME!
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
2 years ago
Read 2 more answers
Whats the sum of 3/8 and 1/16 <br><br>a 1/6<br>b 4/24<br>c 7/16<br>d 1/4
Andreyy89
3/8 + 1/16= 7/16 
so it's c. 7/16
6 0
3 years ago
What is -4x+4y=12 in elimination
Alborosie
I might be wrong but don’t you need two equations to do the elimination process?
4 0
3 years ago
What is the slope of a line that passes through (2,-5) and (6.-2)?
goldfiish [28.3K]

Answer:

3/4

Step-by-step explanation:

Slope = rise over run

Rise = (-5) - (-2)

Run =  2 - 6

-3/-4

3/4

8 0
3 years ago
Green River State Park has two popular hiking trails: Overlook Trail and High Ridge Trail. On one particular day, 80 hiking grou
Kipish [7]

Answer:

B. Events H and C are dependent and P(H|C) < P(C|H)

Step-by-step explanation:

The ratios of groups with children to hiking groups on the trail are different for the two trails.

P(H|C) = 15/45 = 1/3

P(C|H) = 15/40 = 3/8

1/3 < 3/8 so the comparison of choice B is appropriate.

4 0
3 years ago
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