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ziro4ka [17]
3 years ago
7

ABCD is a parallelogram. Find the measure of ZB.

Mathematics
1 answer:
Korolek [52]3 years ago
6 0

Answer:

121°

Step-by-step explanation:

<B = 9x - 5°

<D = 10x - 19°

<B = <D ( being opposite angles of parallelogram)

9x - 5° = 10x - 19°

10x - 9x = 19° - 5°

x = 14°

Now

<B = 9x - 5°

= 9 * 14° - 5

= 121°

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All you have to do to find the percent decrease is to subtract your score on Saturday from your score on Friday and divide the result by your score on Friday.  If you let "f" represent your score on Friday and let "s" represent your score on Saturday, you can re-write this mathematically:

\frac{f - s}{f} = percent\ decrease

Substitute.
\frac{20 - 16}{20} = percent\ decrease
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The percent decrease in shots you made was 20%.  That would be option C.
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Step-by-step explanation:

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3 years ago
In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If t
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Answer:

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Step-by-step explanation:

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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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