Someone help me Solve x
2 answers:
Answer:
<em>x = 12</em>
Step-by-step explanation:
<u>Angles and Lines</u>
The figure attached below has been completed with the angle y to support the calculations to come.
The sum of the interior angles of a rectangle is 180°. Applying on triangle PQR:
30 + 4x + 2 + y = 180
Simplifying:
32 + 4x + y = 180
Solving for y:
y = 180 - 32 - 4x
y = 148 - 4x
Angles y and 8 + 6x are a linear pair, i.e. their sum is 180°, thus:
y + 8 + 6x = 180
Substituting y from the equation above:
148 - 4x + 8 + 6x = 180
Simplifying:
156 + 2x = 180
Dividing by 2:
78 + x = 90
Subtracting 78:
x = 90 - 78
x = 12
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Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.
<span>Length of employment (months) Hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45
To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.
Recall that the equation of a linear function satisfying two points
and 
is given by
Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is
</span>
<span>Length of employment (months) Hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45
To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.
Recall that the equation of a linear function satisfying two points
is given by
Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is