Answer:
2<x<3
Step-by-step explanation:
4x-4<8 AND 9x+5>23
Solve the first inequality
4x-4<8
Add 4 to each side
4x-4+4 <8+4
4x<12
Divide by 4
4x/4 <12/4
x <3
Solve the second inequality
9x+5>23
Subtract 5 from each side
9x+5-5>23-5
9x >18
Divide by 9
9x/9>18/9
x>2
Put together
x<3 and x>2
2<x<3
Answer:
i think your question might be incomplete. the necessary part of the question seems to be missing.
Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side
tan (17.31) = 200 / a
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
641.73 - 190.39 = 451.34 feet
There are web sites and videos that stand ready to show you how to bisect an angle.
The basic idea is that you draw an arc through both rays so that the points of intersection are the same distance from the vertex. Then, you construct a perpendicular bisector of the segment between those intersection points. That will bisect the angle.
For (3), you bisect each of the angles made by the original bisector. (1/2 of 1/2 = 1/4)
