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kipiarov [429]
3 years ago
15

Plz help this is hard I need to get it done fast plz someone

Mathematics
2 answers:
Bumek [7]3 years ago
6 0

Answer:

x = 36°

x = 109°

Step-by-step explanation:

71 = 5x - 109

5x = 180

x = 36°

z = 180 - 71 = 109°

ZanzabumX [31]3 years ago
5 0

Answer:

x= 36

z=109

Step-by-step explanation:

71 and 5x-109 are alternate exterior angles.  That means they are equal

71 = 5x-109

Add 109 to each side

71+109 = 5x-109+109

180 = 5x

Divide each side by 5

180/5 = 5x/5

36 =x

We know that z  and  5x-109  are supplementary angles

z+ 5(36)-109 = 180

z+180 - 109= 180

z+71 = 180

Subtract 71 from each side

z+71-71=180-71

z = 109

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The probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4 is \frac{5}{12}.

Solution:

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Sum that is a multiple of 6 = (1, 5), (2, 4), (3, 3), (4, 2), (5, 1), (6, 6)

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Sum that is a multiple of 4 = (1, 3), (2, 2), (2, 6), (3, 1), (3, 5),

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$P(A)=\frac{6}{36}=\frac{1}{6}

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$P(B)=\frac{9}{36}=\frac{1}{4}

Probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4:

P(A \cup B)=P(A)+P(B)

$P(A \cup B)=\frac{1}{6} +\frac{1}{4}

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Hence the probability that the outcome is a sum that is a multiple of 6 or a sum that is a multiple of 4 is \frac{5}{12}.

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