From the equation, it looks like we can set up a triangle like this. One side is x and the other is x + 20 because the northbound car traveled 20 miles farther. The hypotenuse is 100 because they were 100 miles apart.
Next, we can use the Pythagorean Theorem to solve for x:
a² + b² = c²
x² + (x + 20)² = 100²
This simplifies to:
x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0
After that, we can divided each side by 2:
x² + 20x - 4800 = 0
Next, we have to factor:
(x - 60)(x + 80) = 0
x = 60, -80
Since we know that distance can't be negative, 60 is the valid answer in this case.
x = 60
x + 20 = 80
Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.
We want to isolate T. So, we will divided IR from both sides, so our equation is now
P/IR=T
There ya go!
Answer:
the answer is a
Step-by-step explanation:
Answer:

Step-by-step explanation:
For it to be a parallelogram, opposite sides have to be of same length.
Using the expressions given, we can make 2 equations:
<u>Equation 1:</u>

<u>Equation 2:</u>

<em>Solving equation 2, we have x:</em>

<em>Plugging this value of x into equation 1, we can solve for y:</em>

So,
