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yuradex [85]
3 years ago
6

What must be the value of x so that lines c and d are parallel lines cut by transversal p?

Mathematics
2 answers:
spin [16.1K]3 years ago
8 0
Check the picture below.

since "y" and 3x+45 are both linear angles, then y + (3x + 45) = 180.

but wait a second!!  "y" is a corresponding angle to 81°, so y = 81° then, therefore,

\bf y+(3x+45)=180\implies 81+(3x+45)=180
\\\\\\
126+3x=180
\implies 
3x=54\implies x=\cfrac{54}{3}\implies x=18

and that can only happen, if c || d.

UkoKoshka [18]3 years ago
3 0

18      is the correct answer

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Step-by-step explanation:

The equation of the line is x = 4.

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To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

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