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prohojiy [21]
3 years ago
5

Given: x ∥ y and w is a transversal

Mathematics
2 answers:
dem82 [27]3 years ago
8 0

Answer:

Transitive Property.

Explanation:

The transitive property states that if a = b and b = c, then we can deduce that a = c.

In the case of this problem, we know that ∠2≅∠3 and that ∠3≅∠6.  Using the transitive property, this means that ∠2≅∠6.

egoroff_w [7]3 years ago
3 0

<u>Answer:</u>

The missing reason in the proof is the Transitive property.

<u>Explanation: </u>

As per the transitive property if two numbers are equal to each other and the second one is equal to third one, then the first one is also equal to third one which means if a=b and b=c then a=c.

In this case we can see that \bold\angle2 \cong \angle3 and \angle2 \cong \angle6\bold,

So, in this proof as per the transitive property we can say \bold\angle3 \cong \angle6\bold

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Alecsey [184]

Given Information:

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Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\

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Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

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