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ikadub [295]
4 years ago
7

Given: AB parallel to DC prove: ABE ~ DCE

Mathematics
2 answers:
slava [35]4 years ago
8 0
The reasons would be:

alternate interior angles
vertical angles
AAA (all angles are congruent)

Since we know that the two line segments are parallel, this means that BC is a transversal.  Using that knowledge with the position of ABE and DCE, we see these are alternate interior angles.

AEB and DEC are vertical angles, since they share only a vertex.

This gives us 3 congruent angles, so the triangles must be similar.
Vesna [10]4 years ago
3 0
Answer: The 3 missing statements are listed below with explanations.

2) Alternate interior angles are congruent. Since the lines are parallel these angles are congruent.

3) Vertical angles are congruent. Intersecting angles across from each other are congruent.

4) AA Similarity Theorem. If 2 angles of a triangle are congruent, then the triangles are similar.
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Graph the points on the table and you'll be able to see the answer. That's how I went about it.

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What is the name of the period that has the didgits 486
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3 years ago
The diameter of a bike wheel is 21 inches. If the wheel makes 13 complete rotations , how far does the bike travel?
konstantin123 [22]

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4 0
3 years ago
If the temperature after 4.4 degree drop was -2.5 degrees Celsius what was the temperature at noon
Lostsunrise [7]

Answer:

1.9°C

Step-by-step explanation:

Let X be the temperature at noon and -2.5°C be the current temperature after the drop.

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5 0
3 years ago
a lump sum of $2000 is invested at 4.2% compounded continuously. (a) write the function for the model that gives the future valu
katrin2010 [14]

The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t

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Hence we have:

P = $2000

rate of interest = 4.2%

years = t

we know that A = Pe^rt

Substitute the above values in the formula.

Amount = f(t)

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hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t

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Learn more about Compound Interest here:

brainly.com/question/2455673

#SPJ4

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