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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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Alina [70]

Answer:

Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.

Step-by-step explanation: Correct me if i'm wrong lol.

7 0
3 years ago
Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?
olasank [31]

Answer:

Distribute 2 to (x + 6) and 3 to (x - 4)

Step-by-step explanation:

2(x + 6) = 3(x - 4) + 5

The first step is to distribute on both sides

2x+12 = 3x-4 +5

We have to distribute to all terms inside the parentheses

5 0
3 years ago
You are ordering T-shirt with your school's mascot printed on them. Each T-shirt cost $4.75. The printer charges a setup fee of
masya89 [10]

Answer:

1. n(4.75+30+2.50)

2. 4.75n+30n+2.50n

Step-by-step explanation:

n is the number of shirts they buy. It says that each shirt costs $4.75, and for each shirt they add an extra $30 and $2.50 for the setup fee and to peint each shirt. The word each shows that you have to times. You have to times n by each number or to make it shorter put all three numbers in parenthesis put the n ouside of the parenthesis.

Hope that helps.

4 0
3 years ago
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Lisa [10]

Answer:

Polygon is 17

Step-by-step explanation:

6 0
3 years ago
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The area of a rectangle is 30 sq meters. The perimeter is 26 feet. What are the dimensions of the rectangle?
Art [367]

Answer:

The given rectangle is not possible.

Step-by-step explanation:

The minimum perimeter of such a rectangle is 4√30 meters, about 21.9 meters. That is about 71.9 feet. The largest rectangle with a perimeter of 26 feet will have an area of about 3.93 square meters.

The rectangle described cannot exist.

7 0
4 years ago
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