Prove that segment ST is parallel to segment RQ then x=12
1 answer:
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Answer:
Proof in explanation.
Step-by-step explanation:
I'm going to attempt this by squeeze theorem.
We know that is a variable number between -1 and 1 (inclusive).
This means that .
for all value
. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.
By squeeze theorem, if
and , then we can also conclude that
.
So we can actually evaluate the "if" limits pretty easily since both are continuous and exist at .
.
We can finally conclude that by squeeze theorem.
Some people call this sandwich theorem.
Answer:
is the required probability.
Step-by-step explanation:
Total number of Marbles = Blue + Red
Probability of getting blue
Probability of not getting a blue
To get exactly one blue in two draws, we either get a blue, not blue, or a not blue, blue.
<u>First Draw Blue, Second Draw Not Blue:</u>
1st Draw:
2nd Draw: (since we did not replace the first marble)
To get the probability of the event, since each draw is independent, we multiply both probabilities.
<u>First Draw Not Blue, Second Draw Not Blue:</u>
1st Draw:
2nd Draw: (since we did not replace the first marble)
To get the probability of the event, since each draw is independent, we multiply both probabilities.
To get the probability of exactly one blue, we add both of the events: