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photoshop1234 [79]
3 years ago
12

Rowena is proving that AD ≅ EB. Which statement does the ♣ represent in her proof?

Mathematics
2 answers:
abruzzese [7]3 years ago
5 0

It is the first answer.

KonstantinChe [14]3 years ago
5 0

Answer:

Step-by-step explanation:

From the figure, it is given that AB≅ED, BC≅CD and ∠CAD≅∠CEB.

Now, from ΔACD and ΔECB, we have

Statements                                                      Reason

1. AB≅ED, BC≅CD                                           Given

2. ∠CAD≅∠CEB.                                              Given

3. AB=ED, BC=DC                     Definition of congruent segments

4. AB+BC=AC and                                Segment addition postulate

ED+DC=CE                          

5. ED+DC=AC and                                 Substitution property

ED+DC=CE

6. AC=CE                                                Substitution property

7. AC≅CE                                  Definition of congruent segments

8. ∠C≅∠C                                               Reflexive property

9. ΔACD≅ΔECB                           ASA rule of congruency

Hence proved.

Hence, option A is correct.

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levacccp [35]

Answer:

f(x) = 2[\frac{3^x}{9}] + 2

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Step-by-step explanation:

Given

f(x) = 2(3)^{x-2} + 2

f(x) = \frac{1}{2}(4)^{x+2}

Required

Remove the h component

In a function, the h component is highlighted as:

f(x) = a^{x+h}

So, we have:

f(x) = 2(3)^{x-2} + 2

Split the exponents using the following law of indices:

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f(x) = 2*\frac{3^x}{3^2} + 2

f(x) = 2*\frac{3^x}{9} + 2

f(x) = 2[\frac{3^x}{9}] + 2

<em>The h component has been removed</em>

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a^{m+n} =a^m * a^n

So, we have:

f(x) = \frac{1}{2}(4)^x * 4^2

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

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Answer:

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