Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
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Parks wants to share her point of view about a challenging time in history. ... She also uses chronological structures to explain the order of events that she narrates in MY STORY. Her memoir let's her share her first-person perspective in a way that other types of narration cannot.
Using trigonometric ratio, the value of x is 63.6°
<h3>Trigonometric Ratio</h3>
This is the ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
Trigonometric ratio are often coined as SOHCAHTOA
In the given triangle, we need to find the value of x using trigonomtric ratio.
Since we have the value of adjacent and hypothenuse, we definitely need to use cosine
cosθ = adjacent / hypothenuse
adjacent = 4
hypothenuse = 9
Substituting the values into the equation;
cos θ = 4 / 9
cos θ = 0.444
θ = cos⁻¹ 0.4444
θ = 63.6°
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Given function: f(x) = (3x+5)/7
y = f(x) so it's the same as y = (3x+5)/7
Swap every copy of x and y to get x = (3y+5)/7
Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3
So the inverse function is f^(-1)(x) = (7x-5)/3
Answer is choice A
First, do what's in the paranthesis:
(4*4-12)
Multiplication first:
16-12
Then subtract:
4
We get:
5-1+2*4*8
Multiply:
2*4
8
Multiply, again:
8*8
64
We get:
5-1+64
Subtract:
5-1
4
Add:
4+64
Answer: 68
