Help find x out of these 4 questions i can’t find the answer anywheew

Option D. 11√6/2

Step-by-step explanation:

We'll begin by calculating the side opposite to angle 60°.

This is illustrated below:

Angle θ = 60°

Opposite =?

Hypothenus = 11

Using the sine ratio, we can obtain the side opposite to angle 60° as follow:

Sine θ = Opposite/Hypothenus

Sine 60 = Opposite /11

Cross multiply

Opposite = 11 × Sine 60

Sine 60 = √3/2

Opposite = 11 × √3/2

Opposite = 11√3/2

Finally, we shall determine the value of x as follow:

Angle θ = 45°

Opposite = 11√3/2

Hypothenus = x

Using the sine ratio, we can obtain the value of x as shown below:

Sine θ = Opposite/Hypothenus

Sine 45° = 11√3/2 /x

Cross multiply

x × Sine 45° = 11√3/2

Sine 45° = 1/√2

x × 1/√2 = 11√3/2

x/√2 = 11√3/2

Multiply through by √2

x = √2 × 11√3/2

x = 11√6/2

Hello! Slope is rise/run. The formula for finding the slope is y2 - y1 / x2 - x1, meaning that you subtract the first x and y-coordiates from the second x and y-coordinates. We'll use the points (0, -6) , (3, 3). Now, let's plug in the values of each of them to get this: 3 - (-6) / 3 - 0. When you solve correctly, you get 9/3 or just simply 3. There. The slope of the line is 3.