Hi there!
The two angles are alternate-interior angles, so:
∠A ≅ ∠B
6x + 18 = x + 93
Solve for x. Subtract x from both sides:
5x + 18 = 93
Subtract 18 from both sides:
5x = 75
Divide both sides by 5.
x = 75/5 = 15°
Now, solve for angle B by plugging in this value into the equation.
∠B = 15 + 93 = <u>108°</u>
First put the equation in point slope form:
y - 4 = 2x - 6
y = 2x - 2
Then graph this, which will look like this
The following expressions (1+cosβ)(1−cosβ)sinβ is equivalent to sin³β
<h3>What are Trigonometric Ratios ?</h3>
In a Right angled triangle , trigonometric ratios can be used to determine the value of angles and sides of the triangle.
The trigonometric expression given in the question is
(1+cosβ)(1−cosβ)sinβ
(a+b)(a-b) = a² - b²
( 1 - cos²β)sinβ
By the trigonometric Identity
1-cos²β = sin² β
sin² β x sin β
sin³β
Therefore Option B is the correct answer.
To know more about Trigonometric Ratio
brainly.com/question/13724581
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Answer:

Step-by-step explanation:
Composition of two functions f(x) and g(x) is represented by,
(fog)(x) = f[g(x)]
If a function is,
f(x) = (-6x - 8)² [where x ≤
]
Another function is the inverse of f(x),

Now composite function of these functions will be,
![(fof^{-1})(x)=f[f^{-1}(x)]](https://tex.z-dn.net/?f=%28fof%5E%7B-1%7D%29%28x%29%3Df%5Bf%5E%7B-1%7D%28x%29%5D)
= ![[-6(\frac{\sqrt{x}+8}{6})-8]^{2}](https://tex.z-dn.net/?f=%5B-6%28%5Cfrac%7B%5Csqrt%7Bx%7D%2B8%7D%7B6%7D%29-8%5D%5E%7B2%7D)
= ![[-\sqrt{x}+8-8]^2](https://tex.z-dn.net/?f=%5B-%5Csqrt%7Bx%7D%2B8-8%5D%5E2)
= 
= x
Therefore, 