Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend: and conversely, equal central angles determine the same ratio of arc length to radius.
Prove the theorem above using the definition of the radian measure of an angle.

Find the domain and range of the following function f(x) = 51x - 21+ 4

Worth 100 points need the answers asap first row -x^2 2x^2 (x/2)^2 x^2 x is less than 2 x is greater than 2 x is less than or equal to 2 x is greater than or equal to 2 second row -5 -5/2 4 5 •2 is less than x& x is less than 4 •2 is less than or equal to x & x is less than or equal to 4 •2 is less than or equal to x& x is less than 4 •2 is less than x& x is less than or equal to 4

6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?