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professor190 [17]
3 years ago
14

Please help me answer this one question

Mathematics
2 answers:
san4es73 [151]3 years ago
8 0

Answer:

Step-by-step explanation:

x , u are parallel lines and v is transversal.

∠1   = ∠b     {Corresponding angles}

∠2 = ∠a   {corresponding angles}

∠1 +∠a = 180   {linear pair}

∠2 +∠ b = 180  {linear pair}

∠a +∠b  = 180   {co interior angles}

EleoNora [17]3 years ago
7 0

Answer:

1=b. 2=a

Step-by-step explanation:

Since there are corresponding angles, 1 and b will be congruent, and 2 and a will be congruent.

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A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape....
frosja888 [35]

Answer:

About 41.5%

Step-by-step explanation:

<em>Given:</em>

<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.</em>

<em>To Find:</em>

<em>What is the probability that both grapes are red?</em>

<em>Answer choices:</em>

<em>about 39.7%</em>

<em>about 41.5%</em>

<em>about 42.5%</em>

<em>about 44.5%</em>

<em>Solution:</em>

<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .</em>

<em>As the red grapes are 15..</em>

<em>Thus,</em>

<em>The probability of choosing a red grape the first time is 15/23.</em>

<em>Because out of the total 23 grapes only 15 were red grape.</em>

<em>The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>

<em>Hence, the probability of choosing or eating two red grapes will be :</em>

<em>15/23×14/22</em>

<em>=105/253</em>

<em>=0.415</em>

<em>= 41.5%</em>

<em>Therefore, the probability that both grapes are red is about 41.5%</em>

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3 red 35 green 95 white
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Are the numbers 9 and 36 relatively prime?
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For this case we have that by definition, the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

We have the following points:

(x_ {1}, y_ {1}) :( 2,6)\\(x_ {2}, y_ {2}) :( 4,0)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-6} {4-2} = \frac {-6} {2} = -3

We chose a point:

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Substituting in the equation we have:

y-0 = -3 (x-4)\\y = -3 (x-4)

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