Hey there! :D
When there are two lines (parallel) that are cut by a transversal, corresponding angles form. These are angles that are in the same position on the same side. m<2 is corresponding to the angle that equals 38 degrees. They are congruent and have the same measure.
m<2= 38 degrees
Remember, this only works because the problem said that line L and M are parallel.
I hope this helps!
~kaikers
Answer: 16 ft
Explanation:
You can determine the lengths of each segment by subtracting the coordinates of the adjacent points.
1) From (2,5) to (8,5): 8 - 2 = 6
2) From (8,5) to (8,3): 5 - 3 = 2
3) From (8,3) to (2,3): 8 - 2 = 6 (as expected as this is congruent to the first
4) From (2,3) to (2,5): 5 - 3 = 2 (as expected as this is congruent to the second).
The total length of the border or perimeter is equal to the sum of all the sides:
perimeter = 6 + 2 + 6 + 2 = 16
Therefore the answer is 16 ft
Use trigonometry to solve for x.
The tangent function is defined to be opposite side divided by the adjacent side.
tan(78) = x/10
tan(78)(10) = x
47.0463010948 = x
We now round off to two decimal places. In other words, we round off to the nearest tenths.
47.05 = x
Done!
Answer:
mathematics is the study of numbers shapes and patterns
