The first song performed during a concert was more than 60 seconds longer than the final song. The first song was 190 seconds lo
ng. The inequality 190 > 60 + f represents the situation when f is the length of the final song, in seconds. f is in the center of a line. Which value should point f on the number line be?
1. 250
2. 190
3. 130
Which best describes the appearance of the graph?
1. open circle at f, shaded right
2. open circle at f, shaded left
3. closed circle at f, shaded right
4. closed circle at f , shaded left
1. 250
2. 190
3. 130
Which best describes the appearance of the graph?
1. open circle at f, shaded right
2. open circle at f, shaded left
3. closed circle at f, shaded right
4. closed circle at f , shaded left
2 answers:
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<u>Given</u>:
The given figure shows the intersection of the two lines.
The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°
We need to determine the equation to solve for x and to find the value of x.
<u>Equation to solve for x:</u>
Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.
Hence, we have;
Thus, the equation to solve for x is
<u>Value of x:</u>
The value of x can be determined by solving the equation
Thus, we have;
Thus, the value of x is 20.