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Answer: x</h3>
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Work Shown:

The idea is to start with g(x) and then replace every x with f(x). From there you plug in f(x) = 1+sqrt(3x) and simplify.
if the problem is (5x^4y^3)^2 divided by 9
5^2 = 25
4*2 =8
3*2 =6
so you get (25x^8y^6)/9
if that isn't how the equation was supposed to be written let me know and I will edit my answer.
1. a = 10 b = ? c = 24
10² + b² = 24²
100 + b² = 576
b² = 476
b ≅ 21.8
2. a = 3 b = ? c = 5
b = 4 because of the 3 4 5 triangle rule
3. a = 9 b = ? c = 12
81 + b² = 144
b² = 63
b ≅ 7.9
10 : 30
4: x [x is the length]
10/4=2.5
30/2.5=x=12
length of the diagram is 12cm