5.
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<u>Answer: </u>
The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.
<u> Solution: </u>
Given that current population of city is 27900.
Also, population of a city has decreased by 38% since it was last measured.
Let assume that population of city when it was last measured = x
Decreased of 38% means x-38% of x . we can write this as,
So current population is
Equating above expression to the given value of current population, we get
x=45000
Hence previous population of city was 45000.
Given :
∠ABF = ( 7x + 20 )°
∠FBC=(2x - 5)°
∠ABC= 159°
To Find :
The value of x .
Solution :
Assuming B the center of a circle .
So , all three given angles must be added to 360° .
Therefore , the value of x is 20.67° .
Hence , this is the required solution .