Put the following into slope intercept form. -5x + 3y = 12
1 answer:
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The parts that are missing in the proof are:
It is given
∠2 ≅ ∠3
converse alternate exterior angles theorem
<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.
∠1 ≅ ∠3 and l║m because we are: given
By the transitive property,
∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.
Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.
Therefore, the missing parts pf the paragraph proof are:
- It is given
- ∠2 ≅ ∠3
- converse alternate exterior angles theorem
Learn more about the converse alternate exterior angles theorem on:
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Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C:
If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.
If we have
(X is following normal distribution with mean and standard deviation
)
then it can be converted to standard normal distribution as
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
Also, know that if we look for Z = z in z tables, the p-value we get is
Using the z-table, we get the needed probabilities as:
Case 1:
Case 2:
Case 3:
Case 4:
Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C:
Learn more about z-scores here: