∠ABX is an inscribed angle.
The measure of an inscribed angle is half the measure of the intercepted arc ⇒
arc AX = 2*∠ABX = 2 * 64 = 128°
The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the <span>intercepted arcs </span>⇒
∠ACB = (arc AB - arc AX)/2 = (152 - 128)/2 = 24/2 = 12°
Answer:
Step-by-step explanation:
Given that the Pick 4 games in many state lotteries announce a four‑digit winning number each day. Each of the 10,000 possible numbers 0000 to 9999 has the same chance of winning. You win if your choice matches the winning digits. Suppose your chosen number is 3079 .
a) The probability that the winning number matches your number exactly
= 1 out of 10000 = 0.0001
b) the probability that the winning number has the same digits as your number in any order
This includes 0379, 0397, 0739, 0793, 0937, 0397 i.e. starting from 0 there are 6 = 3! ways
Or 3079 can be arranged in 4! ways = 24
Favorable outcomes = 24
Prob of winning = 24/10000 = 0.00024
=0.0002
Answer:
4500
Step-by-step explanation:
because if you round 4,536.50 you will get 4500 since 36 is before 50+
Answer: 28.27
Step-by-step explanation: first multiply the radius by itself 3 times 3 = 9
then take 9 and multiply it by 3.14 which is 28.27
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