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sveticcg [70]
2 years ago
11

Veronica tells another classmate that ΔHAT is congruent to ΔPAM because of the AAA Theorem. Is Veronica correct in what she tell

s her classmate? Explain your reasoning. Be sure to include important geometry terms like corresponding angles, corresponding side lengths, and triangle congruence in writing your response.

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
3 0

Answer: Veronica is not correct

Explanation:

The AAA theorem, aka the AA theorem, only applies to similar triangles. We cannot use it to prove two triangles are congruent or not. We would need to know info about at least one pair of sides. So based on this diagram, we don't have enough information to know if triangle HAT is congruent to triangle PAM or not.

A similar example to this is to consider two equilateral triangles. Let's call them triangle A and triangle B. If equilateral triangle A has side lengths of 2, and has side lengths of 10, we can see that the triangles are not congruent. However, the triangles are similar because the corresponding angles equal one another. One triangle is a scaled copy of the other. This example is a counterexample as to why the AAA theorem is not a valid congruence theorem.

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erastovalidia [21]

Answer:

x = 25

Step-by-step explanation:

Given:

  • ∠A = ∠B    (Vertically opposite angles)
  • ∠A = (7x - 8)°
  • ∠B = (6x + 17)°

Since ∠A is equivalent to ∠B...

\implies (7x - 8)= (6x + 17)

Open the parenthesis:

\implies 7x - 8= 6x + 17

Add 8 both sides:

\implies 7x - 8 + 8= 6x + 17 + 8

Simplify both sides:

\implies 7x = 6x + 25

Subtract 6x both sides:

\implies 7x - 6x = 6x - 6x + 25

Simplify both sides:

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7 0
2 years ago
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Ilia_Sergeevich [38]
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7 0
3 years ago
Tara has two bags of marbles. the first bag contains 6 red marbles, 5 blue marbles and 4 green marbles. the second bag contains
Alina [70]

Answer:

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The second bags probability is 4 out of 9

All the bags combined the probability is 9 out of 24

Step-by-step explanation:

The probability should be set up by putting the blue marbles as the numerator and the sum of all the marbles combined for the denominator

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Answer:

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Step-by-step explanation:

I would assume you want the answer step-by-step:

We can count carefully and read the question again.

It is asking for us to count by tens or add ten to the most recent integer in the pattern.

In that case, we can see that our answer will by 50 + 10 = 60.

Also, note, that this question is not very intellectually challenging! Next time ask a question like "What do they mean when they say this?" If you don't understand the wording.

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