We are given a right triangle whose legs we name as x, x+2 and x+4. The Pythagorean theorem states that the square of the hypotenuse's length is equal to sum of the squares of its legs. hence, we apply this to the given data:
a2 + b2 = c2
We substitute the given data
x2 + (x+2)2 = (x+4)2
We expound the given squares
x2 + x2+ 4x + 4 = x2 + 8x +16
We group next the like terms
2x2-x2 = 8x -4x + 16 -4
x2 = 4x + 12
(x2-4x-12) = 0
we factor the given quadratic equation
(x-6)*(x+2) = 0
x1 = 6
x2 = -2
The valid solution set would be 6 since there are no negative measurements, so the answer to this problem would be 6+2 = 8 units.
Answer:
B
Step-by-step explanation:
your only options are b and c but its not 0 so it has to be b
Percents have to fit into 100.
So, 20x5= 100
19x5=95
So, your answer is: 95%
Okay. So, 15% is 15/100 and 33% is 33/100. 15 + 33 is 48. You leave the denominator the same, so the fraction is 48/100. However, the fraction needs to be simplified. Whatever you do to the numerator, we must do to the denominator. We can divide both numbers by 4 to get the simplified fraction form. 48/4 is 12. 100/4 is 25. There. The simplified fraction is 12/25. The answer is H: 12/25.