Hello!
First, let's write the problem.

Let's switch sides now, otherwise, we are going to end up doing it later.

Multiply both sides by 54.5.

We could also rewrite that as,

Simplify.



That would be our final answer, we could round it to.
x ≈ 3.40
You can feel free to let me know if you have any questions regarding this!
Thanks!
- TetraFish
Answer:
see below
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
Distribute using the distributive property
3x + 12 + 2 = 2 + 5x – 20
Combine like terms (simplify)
3x + 14 = 5x – 18
Subtract 3x from each side using the subtraction property of equality
14 = 2x – 18
Add 18 to each side using the addition property of equality
32 = 2x
Divide each side by 2 using the division property of equality
16 = x
Answer:
Para un punto (x, y), el angulo generado entre el eje x y un rayo que conecta el origen de coordenadas con el punto es tal que:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Y las otras 3 relaciones trigonometricas son las inversas de las de arriba, entonces:
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
En este caso tenemos el punto (4, -3), es decir:
x = 4
y = -3
Solo tenemos que reemplazar esos dos valores en las seis ecuaciones de arriba:
Tan(θ) = -3/4
Cos(θ) = 4/(√(4^2 + (-3)^2)) = 4/5
Sin(θ) = -3/(√(4^2 + (-3)^2)) = -3/5
Ctg(θ) = 4/(-3) = -4/3
Sec(θ) = √(4^2 + (-3)^2)/4 = 5/4
Csc(θ) = √(4^2 + (-3)^2)/-3 = 5/-3 = -5/3
I just took the test and the answer was D
50 in, 48 in, 14 in are the side lengths that form a right triangle