Answer:
Step-by-step explanation:
Let x be the adjacent side length in cm
opposite side is x + 2 cm
hypotenuse is x + 4 cm
x² + (x + 2)² = (x + 4)²
x² + (x² + 4x + 4) = (x² + 8x + 16)
x² - 4x - 12 = 0
(x - 6)(x + 2) = 0
so either
x - 6 = 0 x = 6
or
x + 2 = 0 x = -2
positive answer is x = 6 as negative length does not make sense
opposite side is 6 + 2 = 8
hypotenuse is 6 + 4 = 10
perimeter is 6 + 8 + 10 = 24 cm
<h2>
<u>Answer:</u></h2>
Susan = x
Gina = 3x
Sum of their ages = 12
Susan's age = ?
We can see that,

Susan is <u>3</u><u> </u><u>years </u>old.
Given that the value of an industrial machine has a decay factor of 0.75 per year, and after six years, it became $7,500 only, this would mean that the original value of the machine would be solved like this: <span>7500 = x(1-.75)^6
</span>7500 = x(0.25)^6
7500 = x(<span>0.00024414062)
7500 = </span><span>0.00024414062x
x = </span><span>30, 720, 000
Hope this answers your question.</span>