Answer:
3) 174°15'18"
4) 34.859722...(repeating)°
5) 434°, -286°
Step-by-step explanation:
There are 60 minutes in a degree, and 60 seconds in a minute.
3) To find minutes, multiply fractional degrees by 60:
.255° = 0.255°×(60'/1°) = 15.3'
To find seconds, multiply fractional minutes by 60:
0.3' = 0.3'×(60"/1') = 18"
Then the whole angle is ...
174.255° = 174° 15' 18"
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4) The conversion works the other way, too.
34° 51' 35" = 34° +51(1/60)° +35(1/3600)° = (34 619/720)°
= 34.8597222...° (a repeating decimal)
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5) Add or subtract multiples of 360° to get co-terminal angles.
74° +360° = 434°
74° -360° = -286°
The last answer, because the class is being divided into four groups. So the class number is not known, thus it is represented by “w” and divided by four.
The 4th option is correct
Answer:
8. ∠1=118° ∠2=118°
9. ∠1=72° ∠2=108°
10. ∠1=127° ∠2=127°
Step-by-step explanation:
8. In this problem, 118° is corresponding to ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, meaning that together, they equal 180°. So, to get ∠2, you must subtract 118° from 180°
9. In this problem, 72° is same side interior with ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, so you do 180°-72°= 108°
10. In this problem, ∠1 is vertical angles with 127°, making them equal to each other. ∠2 is corresponding with 127°, making them also equal.
