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Sphinxa [80]
3 years ago
8

The picture explains it

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0

Answer:

60

Step-by-step explanation:

you know that if one line is perpendicular to another line, and another line is perpendicular to that line, they are all perpendicular (90). so, all corners are right angles. that means that angle AGD is 90. so, if you know 30, then subtract 30 from 90 and you get that angle AGF is 60. then, because angle AGF and angle EGB are vertical angles, they are congruent, so x is 60.

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Answer:

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Step-by-step explanation:

The number of tiles in the design is 1 + 2 + 3 + ...

We can model this as an arithmetic series, where the first term is 1 and the common difference is 1.  The sum of the first n terms of an arithmetic series is:

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Since S ≤ 60:

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n (n + 1) ≤ 120

n must be an integer, so from trial and error:

n ≤ 10

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---------------

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