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Ilia_Sergeevich [38]
3 years ago
6

Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0

Answer:

See Below.

Step-by-step explanation:

<u>Statements</u>                                                       <u>Reasons: </u>

<u />1)\text{ } AC\cong DC                                                      Given

2)\text{ } \angle B\cong \angle D                                                      Given

3)\angle BCA \cong \angle ECD                                            Vertical Angles are Congruent

4)\text{ } \Delta ACB\cong \Delta DCE                                          AAS Congruence

5)\text{ } AB\cong DE                                                      CPCTC

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Answer:

The answer is most likely 5 shrimp eats 5 grams of food im one day,

Step-by-step explanation:

At an aquarium, a shrimp if fed 1/5 gram of food each feeding and is fed 3 times each day. <em>What is the constant of proportionality and what does it tell us about the situation?</em>

So, We know the shrimp is fed 1/5 gram of food each feeding, And we know the shrimp is fed 3 times each day.

Now, We need to answer the question, <u><em>What is the constant of proportionality and what does it tell us about the situation?</em></u>

<u><em /></u>

Then, That means '5, shrimp eats 5 grams of food in one day ' is correct.

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3 years ago
1/16^3x=64^2(x+8)<br> Solve for x.
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Answer:

x = -4

Step-by-step explanation:

16 = 4*4 = 4²

64 = 4 * 4* 4 = 4³

(\dfrac{1}{16})^{3x}=64^{2*(x+8)}\\\\\\(16^{-1})^{3x}=64^{2x + 16}\\\\\\16^{-3x}=64^{2x +16}\\\\(4^{2})^{-3x}=(4^{3})^{2x+16}\\\\4^{-6x}=4^{6x +48}

As bases are same, compare exponents

6x + 48 = -6x  

Subtract 48 from both sides

6x = -6x - 48

Add '6x' to both sides

6x + 6x = -48

12x = -48

Divide both sides by 12

x = -48/12

x = -4

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4x - 6

Step-by-step explanation:

6 less is -6

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