Answer:
Distance = 7
Step-by-step explanation:
9. Choose whether the number is rational or irrational
1 answer:
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<u>Given</u>:
Given that two lines are intersecting at the point.
The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.
We need to determine the equation to solve for x and the value of x.
<u>Equation:</u>
The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.
Hence, we have;
Hence, the equation is
<u>Value of x:</u>
The value of x can be determined by solving the equation
Thus, we have;
Subtracting both sides of the equation by 2x, we get;
Adding both sides of the equation by 8, we get;
Thus, the value of x is 20.
Hence, the equation and the value of x are
Thus, Option D is the correct answer.
Answer:
A. 35
Step-by-step explanation:
The median of a data set is the middle value when the data values are placed in order of size.
<u>Given data set</u>:
- {3, 35, 23, 37, 45, 5, 49, 27, 48}
Place the data in <u>order of size</u>:
- {3, 5, 23, 27, 35, 37, 45, 48, 49}
To find the median, divide the total number of data values (n) by 2.
- If n/2 is a whole number, the median is halfway between the values in this position and the position above.
- If n/2 is not a whole number, round it up to find the position of the median.
As there are 9 data values, the median value is:
Therefore, the median of the given data set is 35.
