M<6 = 180 - m<7
m<6 = 180 - 65
m<6 = 115
Answer:
2.5
Step-by-step explanation:
The formula to find the midpoint of a line segment: 
<u><em>Where:</em></u>
1) Substitute the values into the midpoint formula.
2) Solve it.
= 
= (2.5, 8.5)
Answer:
y = 1
Step-by-step explanation:
4 - (y-3) = 3(y+1) - 4(1 - y)
4 -y +3 = 3y + 3 - 4 + 4y
7 - y = 7y - 1
7 + 1 = 7y + y
8 = 8y
8/8 = y
The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)
We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft
Answer:
C
Step-by-step explanation:
