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vova2212 [387]
3 years ago
7

44 and 45 are alternate interior

Mathematics
2 answers:
Stella [2.4K]3 years ago
6 0

Answer:

Solution given:

<5=115°[corresponding angle]

AVprozaik [17]3 years ago
3 0

Answer:

115°

Step-by-step explanation:

angles 4 and 5 are alternate angles which means they would be the same amount

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4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

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