Answer: 93
Step-by-step explanation:
Answer:
All options
Step-by-step explanation:
If two coins are flipped, there are following possibilities
1. Both coins show heads
2. First coin shows heads and second shows tails
3. First coin shows tails and second shows heads
4. Both coins show tails
Let H denote heads and T denote tails
Then the sample space can be translated from the above events as:
Sample Space for Flipping Two Coins = {HH, HT, TH, TT}
which means that all the options are correct ..
Answer:
3 ways
Step-by-step explanation:
ex: 3/6 "3 to 6" 3:6
Answer:
360,000
Step-by-step explanation:
2/3 ÷ 240,000 = 2/3 ×1/240,000 = 1/3 × 1/120,000 = 3×120,000= 360,000
Answer:
a) ∠ADB is 55°
b) ∠ABD is 45°
Step-by-step explanation:
a) In the cyclic quadrilateral ABCD, we have;
Segment AB = Segment BC
∠ABC = 70°
Therefore, ∠ADC = 180° - 70° = 110° (Opposite angles are supplementary)
∠ADC + ∠CDP = 180° (Sum of angles on a straight line)
∴ ∠CDP = 180° - ∠ADC
∠CDP = 180° - 110° = 70°
∠DCP = 180° - 70° - 30° = 80°, (Angle sum property)
Similar to ∠DCP = ∠DAB = 80° (Exterior angle of a cyclic quadrilateral)
∠CAB = ∠ACB = (180° - 70°)/2 = 55° (Base angles of isosceles triangle ΔABC)
∠ADB = ∠ACB = 55° (Inscribed angle of a circle subtended by the same chord)
∠ADB = 55°
b) ∠ABD = 180° - ∠DAB - ∠ADB
∴ ∠ABD = 180° - 55° - 80° = 45°
∠ABD = 45°