Answer:
100 minutes
Step-by-step explanation:
To solve this, we can make a proportion.
The bike travels 5 miles in 20 minutes, and 25 miles in x minutes
5/20=25/x
Cross multiply
5*x=20*25
5x=500
Divide both sides by 5. This will cancel out the 5, and leave x by itself.
5x/5=500/5
x=100
There are 60 minutes in 1 hour. If we subtract 60 from 100,
100-60=40
So, this is also equivalent to 1 hour and 40 minutes.
It takes 100 minutes, or 1 hour and 40 minutes, to travel 25 miles.
The axis of symmetry is the fold line that splits the parabola down the middle.
Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.
So if we know the axis of symmetry is x = 3 and one of our points
has the coordinates (5, 0), the other point will have the coordinates (3, 0).
The axis of symmetry is always halfway between the x-intercepts.
Answer:
x = 27
Step-by-step explanation:
Since AC and DE are parallel lines, then
∠ BAD = ∠ EDF= 2x ( corresponding angles )
The sum of the 3 angles in Δ BAD = 180°, thus
2x + 2x + 72 = 180, that is
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
Answer:

Step-by-step explanation:
The angle on a straight line is always 180 degrees.
Thus,

Remove the brackets:


Subtract 24 from both sides:


Divide both sides by 12:

