Answer:
-8<k<-2
Step-by-step explanation:
-50<7k+6<-8
-56<7k<-14
-8<k<-2
Answer: Choice D
- Angle 1 and angle 7
- Angle 2 and angle 8
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Explanation:
The angles 3,4,5,6 are all considered interior angles because they are inside or between the parallel lines.
The remaining angles 1,2,7,8 are exterior angles as they outside the parallel lines. You can think of angles 3,4,5,6 being in the river or a road, while the other angles are on the sidewalk or the shoreline.
Alternating angles are ones that are on either side of the transversal cut.
Combining the two ideas leads to alternate exterior angles being outside the parallel lines and on either side of the transversal. This applies to the following pairs:
- angle 1 and angle 7
- angle 2 and angle 8
This is why choice D is the answer.
Answer:
k=2
Step-by-step explanation:
6(7k-10)=24
6(7k-10)/6=24/6
7k-10=4
7k-10+10=4+10
7k=14
7k/7=14/7
k=2
<u>Check:</u>
6(7k-10)=24
6(7(2)-10)=24
6(14-10)=24
6(4)=24
24=24
Solution works
Classic trigonometry:
theta is 60
adjacent side is 10
find opposite side
soh cah toa
sin cos tan
use tangent
tan = O/A
so tan(60) = O/10
multiply by 10 each side
10tan(60) = O
Opposite = 17.32"
thats your change in elevation
