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3 years ago

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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The following data was collected from 10 visitors to Disneyland. A researcher stood at the entrance gate and interviewed the fir

Ludmilka [50]

Answer:

<u>The standard deviation for the sample of 10 families is 1.68 (Rounding to two decimal places)</u>

Step-by-step explanation:

1. The first step to calculate the standard deviation is to find out the mean, this way:

Mean = (1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 4 + 7)/10

Mean = 27/10 = 2.7

2. Now we calculate the variance, this way:

Variance = [(1 - 2.7)²+(1 - 2.7)²+(2 - 2.7)²+(2- 2.7)²+(2 - 2.7)²+(2 - 2.7)²+(3- 2.7)²+(3 - 2.7)²+(4 - 2.7)²+(7- 2.7)²]/10

Variance = [2.89 + 2.89 + 0.49 + 0.49 + 0.49 + 0.49 + 0.09 + 0.09 + 1.69 + 18.49]/10

Variance = 28.1/10 = 2.81

3. Finally we calculate the standard deviation, this way:

Variance = Standard deviation²

√Variance = Standard deviation

√2.81 = Standard deviation

<u>Standard deviation = 1.68 (Rounding to two decimal places)</u>

6 0

3 years ago

What is 0.782 rounded to the tenths

pochemuha

It would be 0.780 because the 2 is not higher than a 5.

remember this saying... 5 or more add 1 more 4 or less just ignore

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3 years ago

I am a 6-digit number one of my 4s is worth 400,000. My 5 is worth 5 [10s]. My other 5 is worth 1/100 as much.My 8 is worth 800.

Monica [59]

Answer:

The question is corrected to get;

405,852

Step-by-step explanation:

The expression of the description when written as follows;

'I am a 6-digit number one of my 4s is worth 400,000. The other 5 is worth 1/100 as much. My 5 is worth 5 (10s). y 8 is worth 800. My 2 is' worth 2. My other digit is a 0 what number am I, we have;

The number of digits in the number = 6

The position of the number 4 = 100,000s, we have;

4xx,xxx

The position of the number 5 is in the 10s position, we have;

4xx,x5x

The other 5 = 50100 = 0.5

Therefore, we have;

4xx,x5x.5

The position of the 8 is the 100s, to give;

4xx,85x.5

The number 2 is in the unit position, therefore, we have;

405,852

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3 years ago

Radius: 3.5 units, Center (0,3.5)

vlabodo [156]

Step-by-step explanation:

General equation of circle:

(x - a)² + (y - b)² = r².

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5 0

3 years ago

when two trucks traveling in different directions approach each an intersection at the same time , on of the trucks must change

torisob [31]

This happens because the trucks move in one-dimension, while the airplanes move in 3 dimensions.

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Well, the trucks move along a street. Thus, we can think that this is an one-dimensional kind of motion.

Where the trucks can go forward, backward, or get out of the line.

In the case of the airplanes, they can move actually in 3 dimensions (the airplane can go upwards, downwards, left, right, etc).

Now, in the one-dimensional case of the trucks there are only two directions (which are opposite) so if the trucks travel in different directions, then the trucks travel into each other, which would cause the collision.

While in the case of the airplanes more directions exists, so there isn't (necessarily) a collision.

If you want to learn more about motion:

brainly.com/question/26048315

#SPJ1

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2 years ago