<h2>
Answer:</h2>
Figure B
<h2>
Step-by-step explanation:</h2>
The Pythagorean Theorem is
, where c is the longest side of the triangle (the hypotenuse).
To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.
In Figure A, if the triangle is right-angled, the equation
must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.
In Figure B, if the triangle is right-angled, the equation
must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.
Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.
Answer:
They will meet in 1.8 hours.
Step-by-step explanation:
Given that, distance between trains = 306 miles
Let they take time
to meet each other.
Speed of first train = 90 mph
Speed of second train = 80 mph
Let distance traveled by first train =
miles
Formula for distance:

Distance traveled by first train, 
Let distance traveled by first train =
miles
Formula for distance:

Distance traveled by first train, 
Total distance traveled is 306 miles.
i.e.

They will meet in 1.8 hours.
If you want to check if your answer is correct, expanding it all out will help!
(x-6)(x+2)=0 <-- Use FOIL tactic
x²+2x-6x-12=0
x²-4x-12=0
As you can see, this is identical to the initial equation given. The x values would be 6 and -2, as seen from the factored equation.
Hope I helped :)
The answer will be 7.....value of x is 7 i believe