63 degrees because 180-117 is 63.
Use pythagoras teorem
10^2 = 3^2 + x^2
x^2 = 100 - 9 = 91
x = 9.54 feet to nearest hundredth
Answer:
1.8 mph
Step-by-step explanation:
Speed of the steamer in still water is 18 mph.
Speed of the current = x mph.
1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.
The distance traveled downstream = 3(18 + x) miles.
2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is
hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.
The distance traveled upstream
miles.
3. The distances are the same, so

Solve this equation:

The slope of the line 3.33 or 3 1/3
Step-by-step explanation:
Angles APD, DPC and CPB are supplementary. (Angles on a straight line)
Therefore Angle APD + Angle DPC + Angle CPB = 180°.
Since Angle DPC = 90° (Right angle),
Angle APD + Angle CPB = 180° - 90° = 90°.
=> (7x + 1) + (9x - 7) = 90
=> 16x - 6 = 90
=> x = 6
Hence arc measure of minor arc AD
= (7x + 1)° = [7(6) + 1]° = 43°.