Answer:
Step-by-step explanation:
In 
AB and AC are chords which are equidistant from the center of the circle.
(Equal chords intercept equal arcs)
(Arc sum postulate of a circle)
THEOREM:
•<u> </u><u>Supplementary angle</u> —» The sum of two angles is equal to 180°.
ANSWER:
By supplementary angle property,
So, m∠QRS + m∠ABC = 180°
- m∠QRS + 41° = 180°
- m∠QRS = 180° - 41°
- m∠QRS = 139°
Answer:
200 pencils and 120 pens
Step-by-step explanation:
Let the number of pencils be x while pens be y.
Considering the cost of whole purchase then, we get the equation
0.5x+y=220
Considering the number of items bought, then the equation is
x-y=80
Adding the two equations then we have
1.5x=300
x=300/1.5=200
Consideeing that x-y=80 and x is 200 then
200-y=80
y=200-80=120
Therefore, the pencils were 200 and pens 120 pieces
Answer:
height of the cone = 4.01273885 units
Step-by-step explanation:
Volume of a cone(V) is given by:
....[1]
where,
r is the radius and h is the height of the cone.
As per the statement:
A cone with radius 5 units and ts volume is 105 cubic units
⇒r = 5 units and V = 105 cubic units
Substitute these given values and use 
in [1] we have;
Multiply both sides by 3 we have;
⇒
Divide both sides by 78.5 we have;
or
h = 4.01273885 units
Therefore, the height of the cone is, 4.01273885 units
Answer:
200
Step-by-step explanation:
