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vivado [14]
3 years ago
14

The proof that ΔACB ≅ ΔECD is shown. Given: AE and DB bisect each other at C. Prove: ΔACB ≅ ΔECD What is the missing statement i

n the proof? ∠BAC ≅ ∠DEC ∠ACD ≅ ∠ECB ∠ACB ≅ ∠ECD ∠BCA ≅ ∠DCA

Mathematics
2 answers:
GarryVolchara [31]3 years ago
9 0

Answer:

The missing statement is ∠ACB ≅ ∠ECD

Step-by-step explanation:

Given two lines segment AC and BD bisect each other at C.

We have to prove that ΔACB ≅ ΔECD

In triangle ACB and ECD

AC=CE    (Given)

BC=CD   (Given)

Now to prove above two triangles congruent we need one more side or angle

so, as seen in options the angle ∠ACB ≅ ∠ECD due to vertically opposite angles

hence, the missing statement is ∠ACB ≅ ∠ECD


ValentinkaMS [17]3 years ago
5 0

Answer with explanation:

Given: It is given that , in ΔACB and ΔE CD , A E and DB bisect each other at C.

To Prove:  ΔA CB ≅ ΔE CD

Proof: In  ΔA CB ,and ΔE CD

A E and DB bisect each other at C.

AC=CE -------[Given]

          BC=CD-----[Given]

       ∠A CB = ∠E CD →→[Vertically opposite angles]

→∠A CB ≅ ∠E CD ⇒⇒[S A S]

Option C: →→∠A CB ≅ ∠E CD -------[missing statement in the proof]

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Required information Skip to question A die (six faces) has the number 1 painted on two of its faces, the number 2 painted on th
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Answer:

The change to the face 3 affects the value of P(Odd Number)

Step-by-step explanation:

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P(2) = \frac{1}{2}

P(3) = \frac{n(3)}{n(s)}

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P(Odd Number) is then calculated as:

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P(Odd\ Number) = \frac{2+1}{6}

P(Odd\ Number) = \frac{3}{6}

P(Odd\ Number) =  \frac{1}{2}

After the face with 3 is loaded to be twice likely to come up.

The sample space becomes:

S = \{1,1,2,2,2,3,3\}

The probability of each is:

P(1) = \frac{n(1)}{n(s)}

P(1) = \frac{2}{7}

P(2) = \frac{n(2)}{n(s)}

P(2) = \frac{3}{7}

P(3) = \frac{n(3)}{n(s)}

P(3) = \frac{1}{7}

P(Odd\ Number) = P(1) + P(3)

P(Odd\ Number) = \frac{2}{7} + \frac{1}{7}

Take LCM

P(Odd\ Number) = \frac{2+1}{7}

P(Odd\ Number) = \frac{3}{7}

Comparing P(Odd Number) before and after

P(Odd\ Number) =  \frac{1}{2} --- Before

P(Odd\ Number) = \frac{3}{7} --- After

<em>We can conclude that the change to the face 3 affects the value of P(Odd Number)</em>

7 0
3 years ago
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Answer:

3960 Degrees

Step-by-step explanation:

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The formula is 180(n-2).

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