Answer:
45
Step-by-step explanation:
The two angles with measures are a linear pair and supplementary, so their measures add to 180 deg.
3x + x = 180
4x = 180
x = 45
Answer:

Step-by-step explanation:
- A circle's equation consist on the following expression:
, where r is the magnitude of the radio, and (a,b) are the coordenates of the center of the circle. - In this case, a=2 and b= - 3, because the circle is centered in (x,y)=(2, - 3).
- The radio, which is the distance between the center of the radio to any point in its border, equals r=2 (because of the scale of the graphic, in this case two squares of the grid equal 2 units, then r=2).
- Finally, using the previous information to replace in the equation
, where the fact that r=2 and
was used.
V=hpir²
h=8
d=2r
d/2=r
5/2=2.5=r
V=8pi2.5²
V=8pi6.25
V=50pi
aprox pi=3.14
V=50 times 3.14
V=157 in³
157 cubic inches
The obvious one is (310 beats)/(1 minute).