Answer:
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is x
With m∠54 as the reference angle,
The unknown is the adjacent side of the right angle triangle.
The opposite side of the right angle triangle is 19
To determine x, we would apply the Sine trigonometric ratio.
Sine θ = opposite side/hypotenuse. Therefore,
Sin 54 = 19/x
x = 19/Sin54 = 19/0.809
x = 23.5 to the nearest tenth.
We have (x-4)/(-6-4) = (y-4)/(-4-4);
(x-4)/(-10) = (y-4)/(-8);
(x-4)/5 = (y-4)/4;
4x-16 = 5y-20;
4x - 5y + 4 = 0;