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r-ruslan [8.4K]
3 years ago
15

Given: EDF=ABF Name the postulate or theorem you can use to prove ADE=EBA.

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

The HL (hypotenuse leg) theorem states that any two right triangles that have a  congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

Step-by-step explanation:

AE is congruent to itself.

AB is congruent to DE

<ADE and <EBA are right angles, making them right triangles

Therefore ADE is congruent to EBA by the HL theorem.

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Segments DF, DH, and GF are tangent to the circle. Andrew was asked to find DF. Explain andrew's error.
ANEK [815]

Answer:

DF = 14

Step-by-step explanation:

Andrew was wrong in the assumption that DE = EF

Segments of tangents to a circle from the same external point are congruent

That is

EF = FG = 8

Then

DF = DE + EF = 6 + 8 = 14

5 0
3 years ago
John found the diagram above in a section about animal tracks in his hiking manual. The pattern of the porcupine tracks shown ca
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3 0
3 years ago
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1<br> A snail travels<br> of an inch in an hour.<br> How long will it take to travel 5 inches?
kondaur [170]

Answer:

5 hours

Step-by-step explanation:

1in per hour ×5=5 hours

5 0
2 years ago
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I need help on these three questions I’m so confused on how to answer them
GalinKa [24]

Answer:

  1.  S(1) = 1; S(n) = S(n-1) +n^2

  2. see attached

  3. neither

Step-by-step explanation:

1. The first step shows 1 square, so the first part of the recursive definition is ...

  S(1) = 1

Each successive step has n^2 squares added to the number in the previous step. So, that part of the recursive definition is ...

  S(n) = S(n-1) +n^2

__

2. See the attachment for a graph.

__

3. The recursive relation for an arithmetic function is of the form ...

  S(n) = S(n-1) +k . . . . . for k = some constant

The recursive relation for a geometric function is of the form ...

  S(n) = k·S(n-1) . . . . . . for k = some constant

The above recursive relation is not in either of these forms, so it is neither geometric nor arithmetic.

8 0
2 years ago
A) 24 is what percent of 60
choli [55]

A) 24/60 = 0.4 or 40%

B) 8/x = 4/10 → 20

C) 120 * 0.7 = 84

D) 30/120 = 0.25 or 25%

E) 112/x = 56/100 → 200

F) 128/80 = 1.6 or 160%

G) x/45 = 140/1000 → 63

H) 15/x = 6/100 → 250

7 0
2 years ago
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