Answer:
Proved!
Step-by-step explanation:
Since TS is a tangent to the circle, ∠TSO = 90°.
Hence, ∠OSR = 90° - x.
Since OS and OR are radius, OS = OR.
So, ∠ORS = ∠OSR = 90° - x.
Thus, ∠ROS = 180° - ∠OSR - ∠ORS = 180° - 2 * (90° - x) = 180° - 180° + 2x = 2x.
So, it is proved.
Answer:
integer and rational
Step-by-step explanation:
-28/4=-7
-7 is rational (no nonstopping decimal)
It's also an integer, but not a whole number, because whole numbers can't be negative.
Answer:
D.
Step-by-step explanation:
24 divided by 3 is 8 divided by 2 because of the two games is 4
Answer:
3/10
Step-by-step explanation:
The central angle of the arc is
.
The circumference of an arc of a circle is given as:

where C= circumference of the circle
θ = central angle of the arc
Therefore, the circumference of the arc is:

The circumference of the arc will be 3/10 of the circumference of the circle.
9514 1404 393
Answer:
BC = 16 +12√3
Step-by-step explanation:
In the attached, we see that ∆ABE is a 30°-60°-90° triangle with AB the short side and BE the hypotenuse. Then BE = 2·AB = 12√3.
EC is the side opposite AD in parallelogram ADCE, so is the same length, 16.
The length BC is ...
BC = EC +BE
BC = 16 +12√3