Answer:
#1 is 31°
#2 is 120°
Step-by-step explanation:
You know that a triangle is 180°. In the first one its a right triangle, which means that angle is 90°. Subtract 90 and 59 by 180. The second subtract 36 and 24 by 180 to get your answer.
Answer:
0.00000154 or 0.154 x 10^-6
Step-by-step explanation:
P (Royal Flush) = Number of ways to get a Royal Flush / Number of possible 5 card hands
Because there are 4 suits (Spades, Hearts, Clubs, Diamonds), the possible ways to get a royal flush are as follows
1) Spades (10,J,K,Q,A)
2) Hearts (10,J,K,Q,A)
3) Clubs (10,J,K,Q,A)
4) Diamonds (10,J,K,Q,A)
Hence there are 4 ways to get a Royal Flush (i.e numerator)
In order to find the number of 5 card hands, we know that a full deck as 52 cards, and we want to pick 5 cards from the deck of 52 and order does not matter. Hence
Number of possible 5 card hands =
Hence P(Royal Flush) = 4 /
= 0.00000154 or 0.154 x 10^-6
Answer:
Step-by-step explanation:
Statment1. BD bisects ∠ABC
Reason1. Given
Statment 2. ∠ABD≅∠DBC (A)
Reason2. Definition of angle bisector
Statment 3. BD≅BD (S)
Reason3. Reflexive propriety
Statement 4. ∠BDA≅∠BDC (A)
Reason 4. Given
Statement 5 ΔABD≅ΔCDB
Reason 5. ASA theorem of congruency
Answer:
15
Step-by-step explanation: