One way to go about this is to first list everything we know in the form of variables. This will make it easier to see how these numbers correlate instead of trying to remember formulas to plug these numbers into.
TimeA = 2.4h (time of Car A to travel)
TimeB = 4h (time of Car B to travel)
SpeedA = SpeedB + 22mph (Speed of Car A<span>)
</span>SpeedB = SpeedA - 22mph (Speed of Car B<span>)
</span>Distance = x (the distance traveled by each car)
We are looking for SpeedA. How can we find this? Well, we know that speed multiplied by time is equal to distance, so let's start there.
SpeedA * 2.4h = x
<span>(SpeedB + 22mph) * 2.4h = x
</span>(2.4h * SpeedB) + 52.8miles = x
We also know that:
SpeedB * 4h = x
Since both of these equations are equal to x, we can combine them:
SpeedB * 4h = x = <span>(2.4h * SpeedB) + 52.8miles
</span>SpeedB * 4h = <span>(2.4h * SpeedB) + 52.8miles
</span>1.6h * Speed B = 52.8miles
SpeedB = 52.8/1.6 mph = 33 mph
<span>SpeedA = SpeedB + 22mph = 33mph + 22mph = 55mph
</span>
Therefore, Car A was traveling at 55mph.
These two angles are alternate interior, meaning that they are the same.
Therefore, 11x-10 = 2x+17
Solve to get x = 3; the two angles both equal to 23 degrees
and since EGF and DGE together form 90, DGE = 90-23 = 67
5x-1=2x+3
subtract 2x from both sides.
3x-1=3
add 1 to both sides.
3x=4
3/4 is .75
answer is 3/4
We need to find the length of side PQ of the polygon.
Distance formula:
Using distance formula we get
The length of side PQ of the polygon is 5 units.
I think this is what you were asking..?
