In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police st
2 answers:
The distance between the police station and the fire station is x.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station, so it is 2x-3. This distance is equal to 5 miles.
The police station and the fire station are 4 miles aparat.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station, so it is 2x-3. This distance is equal to 5 miles.
The police station and the fire station are 4 miles aparat.
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Check the picture below.
the segment LOJ is a diameter, and therefore the arcLCJ made by that diameter will have a central angle of 180°.
that simply means that the arcLC is 180 - 94, or 86°.
the ∡LJC is an inscribed angle that is intercepting the arcLC, and therefore, by the inscribed angle theorem, it'll be half of arcLC.
the segment LOJ is a diameter, and therefore the arcLCJ made by that diameter will have a central angle of 180°.
that simply means that the arcLC is 180 - 94, or 86°.
the ∡LJC is an inscribed angle that is intercepting the arcLC, and therefore, by the inscribed angle theorem, it'll be half of arcLC.