Which reason justifies step 2 in the proof

Mathematics

1 answer:

tigry1 [53]3 years ago

6 0

<h3>Answer: C. If two lines are parallel, then the alternate interior angles formed are congruent.</h3>

This is through the alternate interior angles theorem. Angles Q and T pair up as one alternate interior set of angles that are the same measure. The same thing applies to angles X and R.

The identical arrow markers on segments XQ and TR show that those segments are parallel. Segment TQ is one transversal cut (forming alternate interior angles Q and T). Segment XR is the other transversal cut (forming alternate interior angles X and R).

We could say "angle XRT" or "angle TRX" instead of "angle R", though its ideal to use shortcuts whenever possible. The same applies for the other angles as well.

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Step-by-step explanation:

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siniylev [52]

Answer:

(D) P (M|B) represents the probability of getting a male, given that someone with blue eyes has been selected.

(B) No, because P(BIM) represents the probability of getting someone with blue eyes, given that a male has been selected.

Step-by-step explanation:

Given that, M denotes the event of randomly selecting a male and B denotes the event of randomly selecting someone with blue eyes.

So, P (M|B) represents the probability of getting a male, given that someone with blue eyes has been selected.

While P(B|M) represents the probability of getting someone with blue eyes, given that a male has been selected, so, P(M|B) and P(B|M) are not the same.

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3 years ago

If a ! 0 and 5/x = (5+a) / (x+a) what is the value of x ?

gulaghasi [49]

Answer: 5

Step-by-step explanation:

$\frac{5}{x}=\frac{5+a}{x+a}\\\\5x+5a=5x+xa\\\\5a=xa\\\\x=5$