If I roll a fair number cube 150 times, how many times should I expect to roll a number less than 4?
1 answer:
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Let's analyze the increments for each step of the sequence:
Each step we add 3 to the previous number.
Since we need the 20th, from what we saw, in the 20th term we will have added three 20 times.
So the procedure is: calculate how much is 3 times 20 and then add that to the first term of the sequence.
So we add 60 to the first term to find the 20th term:
Answer: 124
Answer: The missing step is,
m∠OCP ≅ m∠ABC because corresponding angles made by the same transversal on the parallel lines are congruent.
Step-by-step explanation:
Given : ,
And,
We have to Prove : Angle PCQ is complementary to angle ABC
⇒
Proof: Since,
⇒
But, ( By angle addition postulate )
⇒ ( By transitive property of equality )
Since, ,
⇒ ( corresponding angles made by the same transversal are congruent)
⇒ ( By the definition of congruent angles )
This leads,
( by the transitive property of equality )
Thus, by the definition of complementary angles,
Angle PCQ is complementary to angle ABC
Hence proved.