Answer:
Step-by-step explanation:
∠AEC ≅ ∠BED as vertically opposite angles
- m∠AEC = m∠BED = 1/2(mAC + mBD), angles between intersecting chords
<u>Substitute values and solve for x:</u>
- 4x = 1/2(120 + 2x)
- 4x = 60 + x
- 3x = 60
- x = 20
<u>Find the measure of AEC:</u>
<u>AED and AEC form a linear pair hence supplementary:</u>
- m∠AED = 180° - m∠AEC<u> </u>
<u>Find the measure of ∠AED:</u>
- m∠AED = 180° - 80° = 100°
Answer:
Yes.
If they do, their intersection is a line.
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:
0.16
Step-by-step explanation:
1paise = 1/100rupee
so, 16 paise = 16/100
16/100= 0.16