The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
21, it says it right in the name.
The answer for the first question would be 3952+3952 =7903
Answer:
6 ¼ hours of Daylight
Step-by-step explanation:
- a day = 24 hours
- you know that there was 17 ¾ hours of no day light
- 17 ¾ = 17.75
- 24 - 17.75 = Daylight hours
- daylight hours = 6.25
