Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
Answer:
Andrew
Step-by-step explanation:
Abby:
Since red cards are negative, a red 9 would represent the number -9. And because black cards are positive, a black 6 would represent the number 6. To get the sum, we add the two numbers together:
-9 + 6
That gives us a total of -3.
Ashley:
We can do the same thing as before. A black seven would represent 7 and a red 8 would represent -8. Next we again add them together:
7 + (-8)
That gives us a total of -1.
Andrew:
The red 4 is -4, while the black 4 is 4:
-4 + 4
That gives us a total of 0.
Anna:
Anna has a red 8 which represents -8 and another red, a three, which would represent -3. We can add the two to get:
-8 + (-3)
That gives us a total of -11.
In all, Andrew has the highest sum of 0, which means he won the game.
