What are the next two numbers 481, 491
2 answers:
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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
Answer:
46
Step-by-step explanation:
∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.
∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.
Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.
So, the side lengths of the trapezoid are ...
- AB = 9
- BC = 9
- CD = 12
- DA = 16
and the perimeter is 9 +9 +12 +16 = 46 units.
