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iogann1982 [59]
3 years ago
14

Solve 2^10 + 2^10 = 2^n.

Mathematics
2 answers:
Lina20 [59]3 years ago
8 0

Answer: n = 11

Step-by-step explanation:

2^10 = 1,024

1,025 + 1,025 = 2,048

2^11 = 2,048

Alekssandra [29.7K]3 years ago
4 0

Answer:

n=11

Step-by-step explanation:

2^10+2^10 = (2^10)(1+1) using distributive property

(2^10)x(2^1) = 2^11

2^11 = 2^n

n=11

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Therefore, Victor needs 40 books to make his desired height.

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Pls answer correct or i will ban you<br>And I will mark brainlist whoanewers correct​
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Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

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To summarize so far, we have these three facts

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in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

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Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

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