The table contains the proof of the theorem of the relationship between slopes of parallel lines. What is the missing statement
2 answers:
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Answer:
Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.
Step-by-step explanation:
Given is :
Jerry makes $40,000 a year working at a nearby factory.
He gets two weeks paid vacation per year, plus five other paid holidays.
So total paid holidays become = days
Subtracting 19 from 365 days and assuming that Jerry works for 365 days a year.
We get = days
So, his per day salary will be =
Vacation pays are not included in salaries. Therefore, Jerry's calculation is wrong.
Answer:
< CFE = 40°
Step-by-step explanation:
To better understand the solution, see attachment for the diagram.
Given:
BC parallel to DE
Measure of Arc BD = 58°
Measure of Arc DE = 142°
First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.
The line ST divides the arc BD and arc DE into half.
That is:
Arc SC = 1/2(arc BC) =1/2(58)
Arc SC = 29°
Arc TE = 1/2(arc DE) =1/2(142)
Arc TE = 71°
Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle
29° + Arc CE + 71° = 180°
Arc CE + 100° = 180°
Arc CE = 180-100
Arc CE = 80°
Inscribed angle = 1/2(intercepted angle)
<CFE = 1/2(Arc CE )
<CFE = 1/2(80)
< CFE = 40°
