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Sonja [21]
3 years ago
11

Which postulate or theorem proves that these two triangles are congruent?

Mathematics
2 answers:
mario62 [17]3 years ago
5 0

Answer:

ASA postulate of congruency

Step-by-step explanation:

Here Given AE=ED and ∠BAE=∠CDE

Also if we clearly observe ∠AEB=∠CED

By ASA postulate those two triangles are congruent.

The ASA (Angle,Side,Angle) postulate states that if two triangles with two angles and the included angle are equal then the two triangles are congruent.

katrin2010 [14]3 years ago
5 0

Answer:

<h2>ASA postulate of congruence.</h2>

Step-by-step explanation:

The ASA postulate refers to the congruence of Angle-Side-Angle pairs. In this problem we have ABE and DCE triangle. The reasons why we can use ASA postulate are:

  • We can see that angles DEC and AEB are congruent, because they are opposite angles.
  • Side AE is congruent with side DE, it's part of the hypothesis of the problem.
  • Also, angle A is congruent with angle D, by hypothesis.

So, there are three pairs of congruence, Angle-Side-Angle. Therefore, according to ASA postulate, we can say that the triangle ABE is congruent with triangle DCE.

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Function g can be thought of as a translated (shifted) version of f(x)=|x|.
klasskru [66]

Answer:

Step-by-step explanation:

g(x) = |x+4| +6 ( to go 4 to the left and 6 up)

7 0
2 years ago
Use the diagram to find the measure of each angle. Enter the number only.
Pavlova-9 [17]

9514 1404 393

Answer:

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

__

Working from the top and from the given angles, ...

  h = 60°

  f = g = 180° -h = 120°

  j = 124°

  k = i = 180° -124° = 56°

  a = 64°

  b = d = 90°

  c = e = 90° -64° = 26°

In summary, measures in degrees are ...

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

7 0
2 years ago
What is the sum of the interior angles of the polygon shown below?
Len [333]

Answer:

360

Step-by-step explanation:

Formula

Sides -2 ×180

4-2=2×180=360

3 0
3 years ago
Solve the equation using square roots.<br><br> <img src="https://tex.z-dn.net/?f=4x%5E%7B2%7D%20%2B9%3D0" id="TexFormula1" title
aleksklad [387]

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6 0
3 years ago
F(x)=3x-8
iVinArrow [24]
What this is asking is for you to plug values into the following function:f(x)=\frac{3x-8}{6x}

Since the question is asking you to find f(3)-f(1), this is how you work it out:
You take the function;
f(x)=\frac{3x-8}{6x}
And plug the numbers indicated in for x;
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So the answer to f(3) - f(1) = \frac{8}{9}
6 0
3 years ago
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