Answer:
1/729
Step-by-step explanation:
Assuming that the probabilities of each digit in the pin is independent from the other digits, the answer to this question can be calculated. There are total of 9 digits, out of which 1 digit is correct. This is true for all the three digits. So the probability of choosing the correct digit in the first place in the first try will be 1/9. Since this is true for the rest of the digits as well and they are independent, we can safely multiply the probabilities. So P(Correct Guess in the first try) = 1/9 (first place) * 1/9 (second place) * 1/9 (third place) = = 1/729. So the correct answer is 1/729!!!
Answer:
17 inches
Step-by-step explanation:
An obtuse triangle is the triangle in which one of the side is the longest. It contains an obtuse angle and the longest side is the side that is opposite to the vertex of the obtuse angle.
Let the three sides of the obtuse triangle be a, b and c respectively with c as the longest side. Let a = 9 inches and b = 14 inches.
Now we know that for an obtuse triangle,
c > 16.64
Therefore the smallest possible whole number is 17 inches.
Answer:
Step-by-step explanation:
An isosceles triangle has two equal sides and the two opposite angles to the sides to be equal.
Given that; RP = RS, RQ and PS are common,
RP = SQ (opposite sides of parallelogram RPQS)
PQ = RS (opposite sides of parallelogram RPQS)
ΔRPS = ΔQPS (congruence property)
Thus comparing triangles PQR and SQR,
=
(similarity property)
<PRS = <PRQ + <SRQ (bisection of included <PRS)
<PQS = <PQR + <SQR (similatity property to <PRS)
=
(congruence property)
But, SRQ = PQR
So that;
Therefore by Side-Angle-Side (SAS), the required additional fact is: