Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer:
colby
hourly rate =$8.90
overtime rate = time and a half = 1.5
the hourly overtime rate is the product of the overtime rate and the hourly rate.
hourly overtime rate= overtime rate × hourly rate
= 1.5 × $8.90
= $13.35
Cheryl
hourly rate = $7.10
overtime rate = double time = 2
the hourly overtime rate is the product of overtime rate and the hourly rate.
hourly overtime rate = overtime rate × hourly rate
= 2 × $7.10
= $14.20
<h3>Comparison</h3>
we note that the hourly overtime rate of cheryl is higher than the hourly overtime rate of colby, which implies that cheryl earns more for one hour of overtime.
we are also interested in the difference of the hourly overtime rate:
hourly overtime rate colby — hourly overtime rate cheryl
= $14.20 – $13.35
= $0.85
thus cheryl earns $0.85 more for one hour of overtime than colby .
<h3>result</h3>
<h2>cheryl,$0.85</h2>
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x + y < = 200
1500x + 1250y < = 175,000
Starting on the top row
1- 84,800
5- 104,000
10- 128,000
15 - 152,000
20- 176,000
Second row
1- 84,000
5- 102,103
10-130,312
15- 166,314
20- 212,264
