Which type of angle is Angle A B C?
1 answer:
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Transversal line :
A transversal line is one that crosses two or more lines at different points.
Transversal Properties :
- Each pair of corresponding angles when a transversal cuts two parallel lines are equal in size.
- Each pair of alternate interior angles created by a transversal when two parallel lines are cut are equal.
- If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to 180 degrees
Each pair of corresponding angles when a transversal intersects two parallel lines is equal. Thus,
∠1 = ∠6
∠4 = ∠8
∠2 = ∠5
∠3 = ∠7
Each alternate interior angle pair is equal if a transversal intersects two parallel lines.
∠4 = ∠5
∠3 = ∠6
Hence, proved..
Learn more about transversal here:
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Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,
To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:
These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.
