Step-by-step explanation:
Pythagoras' theorem for the smallest one :


= 52
Pythagoras' theorem for the middle one :
=
+ 
Pythagoras' theorem for the biggest one :


Using the formula before (for
) it becomes :



16 + 8a = 52 + 36
16+8a = 88
8a = 88-16
8a = 72
a = 9
Verifying :



= 117
The biggest one :



True
Our repeating decimal would be= 0.5555….
Let’s give 0.5555….. repeating decimal a variable of x:
x= 0.5555…. or 0.5(move 1 point to the right)
So ,10x = 5.5555 or 5.5
Now, Let’s do subtraction:
10x = 5.5555… or 5.5
<u>- x = 0.5555… or 0.5</u>
9x
= 5.0 or 5.0
To get a fraction, provide a denominator the same with the numerator of variable x which is 9. Then divide the difference:
<span><u>9x</u> = <u>5.0</u>
9 9</span>
<span>
<span><span>
<span>
<span>Therefore, x = <u>5
</u> 9</span>
</span>
</span>
</span></span>
By definition of conditional probability,
P(B | A) = P(A ∩ B)/P(A) = (13/25) / (13/20) = 20/25 = 4/5
Answer:
Step-by-step explanation:
x=0 y=6-2*0=6
x=1 y=6-2*1=4
x=2 y=6-2*2=2
x=3 y=6-2*3=0
6-2x=3
-6 -6
-2x=-3
2x=3
:2 :2
x=3/2
x=1.5