How would you solve this?
1 answer:
So hmm check the picture below
so.. that means the interior angle at the vertex R is 180 - 82, or 98
now, the sum of all interior angles of a polygon is 180(n - 2)
where "n" is how many sides are there in the polygon
this is a pentagon, so 5 sides, so, the sum of all the interior angles is then
180( 5 - 2)
180(3)
540
that means that
98 + 82 + c + 116 + c = 540
2c + 98 + 82 + 116 = 540 <----- solve for "c"
so.. that means the interior angle at the vertex R is 180 - 82, or 98
now, the sum of all interior angles of a polygon is 180(n - 2)
where "n" is how many sides are there in the polygon
this is a pentagon, so 5 sides, so, the sum of all the interior angles is then
180( 5 - 2)
180(3)
540
that means that
98 + 82 + c + 116 + c = 540
2c + 98 + 82 + 116 = 540 <----- solve for "c"
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a) He will earn $584 for working 36 hours.
b) He will earn $656 for working 39 hours.
c) He will earn $728 for working 42 hours.
Step-by-step explanation:
Amount per hour = $16
Time and a half means 1.5 times more than the original payment.
Therefore, above 35 hours, the earning for one hour,
Extra time per hour = 16*1.5 = $24
A) 36 h
For the first 35 hours, he will get $16 per hour, therefore,
Amount of 35 hours =
Amount of one hour = $24 (as calculated above)
Total = 560+24 = $584
He will earn $584 for working 36 hours.
B) 39 h
39 h = 35h + 4h
Amount of 35 hours = $560
Amount of extra 4 hours = $24*4 = $96
Total = 560+72 = $656
He will earn $656 for working 39 hours.
C) 42 h
42 h = 35h + 7h
Amount of 35 hours = $560
Amount of extra 7 hours = 24*7 = $168
Total = 560+168 = $728
He will earn $728 for working 42 hours.
Keywords: addition, multiplication
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