First one to answer gets a ! plz !
the numerator of a fraction is one half the denominator. if the numerator increased by 2 and the denominator decreased by 2, the value of the fraction is 2/3. what is the numerator of the original fraction?

Asap describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x)=-5.8sin x. g(x)=sin x. a: vertical stretch by a factor of 5.8, reflection across y-axis. b: vertical stretch by a factor of 5.8,reflection across x-axis. c: horizontal stretch by a factor of 5.8, reflection across x-axis. d: horizontal stretch by a factor of 5.8 reflection across y-axis.

In need of in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

If the value of cos330°is√3/2 then find cos 165°.