Answer:
because as distance goes up so does distance
Angle a and b are supplementary angles which means that when added they equal 180.
so we must set our equation equal to 180.
8x+74+2x+56=180
which simplifies to 10x+130=180
then subtract 130 from both sides.
10x=50
x=5
So we plug in 5 to find the measure of b.
2(5)+56=b
10+56=b
66=b
the measure of angle b is 66 degrees
Answer:
Step-by-step explanation:
2n + 8.5 = 23
2n = 14.5
2n = 7.25 or 7 1/4 feet
20 - 5 is her score after losing points:
15
Now, 15 + 10 is her score after her extra points.
25 points
Hope this helps!
Answer:
=135.53°
Step-by-step explanation:
The bearing that the captain should turn is the angle difference between the two islands from the position of the ship.
Let C be the position of the ship, then
AB is c=160
AC is b=220
BC is a=200
We use the cosine rule as follows:
c²=a²+b²-2ab Cos C
160²=200²+220²-2×200×220 Cos C
25600=88400-88000Cos C
88000 Cos C=88400-25600
88000Cos C=62800
Divide both sides by 88000.
Cos C=62800/88000
=0.7136
C=44.47°
He should turn (180°-44.47°)=135.53°
