Answer:
x + y = 83
Step-by-step explanation:
When it says opposite angles are supplementary and yo use A as a reference point it means
supplementary means they add to 180
so
A + C = 180
so
2x + 4 + 2y + 10 = 180
now simplify
2x + 2y + 14 = 180
- 14 -14
2x + 2y = 166
/2 /2
x + y = 83
Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
Answer:
124
Step-by-step explanation:
v = l×w×h
v = 6.2 × 8 × 2.5
v = 124
