Answer:
none of the choices is correct
Step-by-step explanation:
To find the length of the side of square 1, divide the perimeter, 104÷4 = 27
That is the hypotenuse of the triangle.
The square of 27 is 729
Subtract the given square of Square 2, 576
729 - 576 = 153
Take the square root of 153 to find the length of the side of Square 3
√153= 12.37
I hope this helps. It's just a bit more challenging version of Pythagorean Theorem: a² + b² = c²
I think this is the Transitive postulate of equality.
Personally I can't see much point in giving labels to these equalities.
[a] x = 175 - 7.5p
For a, we are isolating the x variable to one side of the equation.
0.4x + 3p = 70
0.4x = - 3p + 70
x = - 7.5p + 175
[b] x = 115
For b, we are solving for x when p = 8.
x = - 7.5p + 175
x = - 7.5(8) + 175
x = 115
