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Alexeev081 [22]
3 years ago
9

What else would need to be congruent to show that AABC=A DEF by the

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

D. AC ≅ DF

Step-by-step explanation:

According to the AAS Theorem, two triangles are considered congruent to each other when two angles and a mon-included side of one triangle are congruent to two corresponding angles and a corresponding non-included side of the other.

Thus, in the diagram given:

<A and <B in ∆ABC are congruent to corresponding angles <D and <E in ∆DEF.

The only condition left to be met before we can conclude that both triangles are congruent by the AAS Theorem is for a mon-included side AC to be congruent to corresponding non-included side DF.

So, AC ≅ DF is what is needed to make both triangles congruent.

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Students in a world geography class want to determine the distances between cities in Europe. The map gives all
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Using a proportional relationship, we have that:

  • a) The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.
  • b) The distance of two cities that are 5 miles apart is of 8 kilometers.
  • c) When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

<h3>What is a proportional relationship?</h3>
  • A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

y = kx

  • In which k is the constant of proportionality.

Item a:

From the graph, when x = 8, y = 5, hence:

y = kx

5 = 8k

k = \frac{5}{8}

k = 0.625

The constant of proportionality is of 0.625, hence the equation is: y = 0.625x.

Item b:

From the graph, when y = 5, x = 8, hence:

  • The distance of two cities that are 5 miles apart is of 8 kilometers.

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of y = 0.625(200) = 125.

You can learn more about proportional relationship at brainly.com/question/13550871

4 0
2 years ago
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Answer:

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2 years ago
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olganol [36]

Answer:

<em>The answer is 0</em>

<em>So I think no solutions</em>

Step-by-step explanation:

You gotta get each equation into slope-intercept form, nd when u do that 9x - 3y = 6 turns into y = 3x - 2, nd 5y = 15x + 10 turns into y = 3x + 2. Add the equations together, nd get 0.

6 0
3 years ago
Read 2 more answers
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