In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=
and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. 
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We can solve this system using elimination:
(x+y=24)3
3x+5y=100
3x+3y=72
-(3x+5y=100)
0x-2y=-28
y=14
We can then plug this back into one of the original equations:
x+14=24
x=10
We can check our answer by plugging this into both of the original equations:
10+14=24
24=24
3(10) + 5(14)=100
30+70=100
100=100
Therefore, there are 10 3-point questions and 14 5-point questions.
Answer:
Step-by-step explanation:
Givens
Greeting Card = 3.79
Total Cost = 5.11
Post cards = x
Equation
Total Cost = Greeting Card + 4x
Solution
Substitute the gives into the equation
5.11 = 3.79 + 4x Subtract 3.79 from both sides
5.11 - 3.79 = 3.79 - 3.79 + 4x Combine
1.32 = 4x Divide by 4
1.32/4 = 4x/4
x = 33
Each post card costs 0.33 dollars
