1) From the data, we can see that
is given.
2) Next,
since they are alternate angles.
3) By substitution, these means that
4) Finally, a || b since
this is because, angle 7 and angle 8 are corresponding angles.
Corresponding angles are angles that are on the same corner at each intersection. For instance, 2 and 6
4 and 8, 1 and 5, 3 and 7
In our case, 7 and 8 are corresponding angles
Answer:
13/7
Step-by-step explanation:
X + 1/7 = 2
X = 2- 1/7
x = 13/7
The sum of 2 integers with different signs is the difference between the two integers, the sign will be the same as the sign of the bigger number.
Answer:
Option (C): The Rome data center is best described by the mean. The New York data center is best described by the median.
Step-by-step explanation:
1. Rome
Minimum=0
Maximum=16
Median ,
Mean = 8
Standard Deviation(σ)=5.4
As, difference between , Maximum -Mean =Mean - Minimum=8
So, Mean will Worthy description to find the center of Data set, given about Rome.
2. New York
Minimum=1
Maximum=20
Median , Q2 = 5.5
Mean = 7.25
Standard Deviation(σ)=6.1
As, for New york , Mean is not the mid value, that is difference between Mean and Minimum is not same as Maximum and Mean.
As, you can see , the three Quartiles , are very close to each other, it means , other data values are quite apart from each other. So, Mean will not appropriately describe the given data.So, in this case Median will suitable to find the center.
Answer:
Step-by-step explanation:
<u>The center is given:</u>
<u>Find the radius, the distance from the center to a point (2, 6)</u>
- r² = (2 - (-1))² + (6 - 2)² = 3² + 4² = 25
- r = √25 = 5
<u>Use circle formula:</u>
- (x - h)² + (y - k)² = r²
- (x - (-1))² + (y - 2)² = 5²
- (x + 1)² + (y - 2)² = 25
