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3 years ago

Transversal t cuts parallel lines r and s as shown in the diagram. Which theorem does the diagram illustrate?

Mathematics

2 answers:

Oliga [24]3 years ago

3 0

B alternate exterior angles

Anettt [7]3 years ago

3 0

Answer:

The correct option is B. Alternate Exterior angles theorem

Step-by-step explanation:

Let name the marked angles in the figure as x and y

Given that : x = y

So, to state which theorem does the diagram illustrate, we first need to find the relation between the angles x and y

Alternate interior angles : The angles which lie interior to the parallel sides but on the opposite side of the transversal.

But x and y lie exterior to the parallel lines, So this option is rejected.

Alternate exterior angles : The angles which lie exterior to the parallel sides but on the opposite side of the transversal.

But x and y lie exterior to the parallel lines, So this option is correct.

Same side interior angles theorem : This theorem states that the sum of same side interior angles in 180.

So it can't be said angle x = angle y by using this theorem. So, this option is rejected

Corresponding angles theorem : The angle which lie at same relative position of the transversal.

But, angle x and angle y lie on the opposite side. So, this option is rejected

Hence, The correct option is B. Alternate Exterior angles theorem

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Answer:

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3 years ago

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Ira Lisetskai [31]

Answer:

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4 years ago

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devlian [24]

the answer is x=47 hope this helps

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3 years ago

A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard de

hjlf

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

$z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

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From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

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3 years ago

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Answer:

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