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Alexeev081 [22]
3 years ago
10

What is the value of z?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

122 degrees, because x and z are alternate interior angles

122 degrees, because 58 degrees and z are same side interiors which add to 180

Step-by-step explanation:

1) we know that

m∠x=m∠z -----> by alternate interior angles

m∠x+58°=180° ----> by supplementary angles (form a linear pair)

m∠x=180°-58°=22°

therefore

m∠z=22°

2) m∠z+58°=180° ----> by same side interior angles

solve for z

m∠z=180°-58°=122°

therefore

122 degrees, because x and z are alternate interior angles

122 degrees, because 58 degrees and z are same side interiors which add to 180

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Answer:

move to the left 3 more spaces

Step-by-step explanation:

you are at -8 already. Therefore, you (-3) more spaces, so you go to the left three more spaces. Use the saying keep change change to help with this.

Keep the first number sign, change the next sign, and the next sign.

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3 years ago
According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report
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Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

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P(x=5)= (e^-6×6^5)/5!

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= 19.28448/120

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8 0
2 years ago
The ratio of Boys to Girls in Mr. Asante Class is 2 to 3. There are 18 girls in the class. What is the total number of students
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Answer:

30

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2*18 = 3x

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so there are 12 boys

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7 0
3 years ago
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3 0
2 years ago
Read 2 more answers
A teacher has 100 pencils in a cup. 16 are more sharp than dull. How many are dull and how many are sharp?
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X = dull pencils 
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42 Dull, 58 sharp.
8 0
3 years ago
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