Step-by-step explanation:
5.|12 - r| > 15
|12 - r| > 15/5
|12 - r| > 3
12 - r < -3 or 12 - r > 3
-r < -3 - 12 or -r > 3 - 12
-r < -15 or -r > -9
r > 15 or r < 9
Parallel lines mean that the slopes are the same, while perpendicular means that the slopes are negative reciprocals from each other.
With this information,
1. The slopes are the same, so PARALLEL.
2. The slopes are negative reciprocals, so PERPENDICULAR.
3. Same as the second.
Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
Answer:
b-d-e
Step-by-step explanation:
I think i could completly wrong
* someone sent u p-orn?*
Answer:
2 hours
Step-by-step explanation:
For if you start at 1 hour you end up with one bus 45 miles away from the school and the other 40 miles. If you then add these then you find out how far apart they are which is 85 at this point and time. If you do another hour the bus going 45 is now 90 miles away from the school. The other one will be 80. After you add these two number to find how far apart they are you end up with 170.
