Answer:
42°
Step-by-step explanation:
3x + 54° = 180° [Supplementary angles]
=> 3x = 180 - 54
=> 3x = 126

=> <u>x = 42</u><u>°</u><u> </u><u>(Ans)</u>
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
Total Questions = 20
Total Points = 28
Correct Answers = +2 points
Incorrect Answers = -1 point
The viewer represents the correct answers with x and the incorrect ones with y.
x+y = 20
for every correct answers 2 points;
and for every incorrect answers, -1 point
This can be written as
2x-y = 28
The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;
now
2x-y = 28
x+y = 20
On adding the equations
]3x = 48
x = 16
y = 4
This means that the contestant answered 16 questions correctly and 4 questions incorrectly
The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.
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Answer:
Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( -9 ,-8)
point B( x₂ , y₂ )≡ (-15 ,-16)
To Find:
Slope = ?
Solution:
Slope of Line Segment AB is given as

Substituting the values we get

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Answer:
Not a function.
Step-by-step explanation:
It is not a function since it does not pass the vertical line test.
Answer:
<h3>$27.34</h3>
Step-by-step explanation:
32 x 0.20 = $6.40
32 - 6.4 = $25.60
25.6 x .0675 ≈ 1.738
25.6 + 1.738 = 27.338 ≈$27.34