Answer:
28inches
Step-by-step explanation:
∠A + ∠B + ∠C = 180°
∠A + 65° +93° = 180°
∠A + 158° = 180°
∠A= 180°-158° = 22°
Using Law of Sines
a/sinA= b/sinB
a/sin22= 68 inches/sin65
a/sin22 = 68/0.9063 = 75.03
a = 75.03 x sin 22
a = 75.03 x 0.3746 = 28.106238≈28 inches
Answer:
There is about 4,164/4,165 chances of not getting getting a four of a kind. So, it is extremely unlikely or even borderline impossible in that situation to get a four of a kind.
<u>But in the long run, it can be increased only if you keep drawing. So, the awnser would have to be. D </u>
Step-by-step explanation:
A. It does mean that if you are dealt 4165 five‑card poker hands, one will be four‑of‑a‑kind.
B. It does not mean that all will be four‑of‑a‑kind. The probability is actually saying that only on the 4165 the poker hand will you get a four‑of‑a‑kind, not just on any of the 4165 poker hands.
C. The probability is actually saying that in the long run, with a large number of five‑card poker hands, the fraction in which you will be dealt a four‑of‑a‑kind is 1 / 4165.
D. The chance you will be dealt four‑of‑a‑kind is 1 / 4165 only on the first hand. This chance will then increase with each new hand you are dealt until you eventually win
Answer:
x = 120
Step-by-step explanation:
Since they are supplementary, they add up to 180 degrees.
So, you can say x + x/2 = 180
Then, you would solve it like an algebra problem.
Multiply both sides by 2
2x + x = 360
Simplify
3x = 360
Divide both sides by 3
x = 120
First, we need to calculate for x. Since,
MP = PN
Thus,
3x-4 = x+4
2x = 8
x = 4
<span>Next, we calculate for MS </span>
MS = 2x + 2 = 10
Since, MS = 2SQ
10 = 2SQ
Then,
SQ = 5 units
Therefore, the correct answer is B.
