Answers
Answer:
6) 130
7) x = 35
8) y = 100
9) 50
10) 130
11) DEF = 29
12) FEG = 61
13) DEF = 91
14) FEG = 89
Step-by-step explanation:
6)angle AEB is 50°
supplementary is when 2 angles add together to make 180°
50 + x = 180
x = 180 - 50
x = 130
7)
angles AEB and DEC are vertical angles
vertical angles are equal.
50 = x + 15
50 - 15 = x
35 = x
8)
AEB and AED are supplementary angles
supplementary angles add together to make 180
50 + (y + 30) = 180
y + 30 = 180 - 50
y + 30 = 130
y = 130 - 30
y = 100
9)
DEC is vertical to AEB
vertical angles are equal.
AEB = 50
DEC = 50
10)AED = y + 30
as established earlier, y = 100
substitute Y for 100
AED = 100 + 30
AED = 130
11 & 12)DEF and FEG are complimentary.
complimentary means they add together to make 90
(3x - 4 ) + (5x + 6 ) = 90
3x - 4 + 5x + 6 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 88/8
x = 11
substitute x into the equations
DEF = 3x - 4
DEF = 33 - 4
DEF = 29
FEG = 5x + 6
FEG = 55 + 6
FEG = 61
13 & 14)
DEF and FEG are supplementary.
supplementary means they add together to make 180
(9x + 1) + (8x + 9) = 180
9x + 8x + 1 + 9 = 180
17x + 10 = 180
17x = 170
x = 10
substitute x into the equations
DEF = 9x + 1
DEF = 90 + 1
DEF = 91
FEG = 8x + 9
FEG = 80 + 9
FEG = 89
If I got something wrong please let me know!
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Answers
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Step-by-step explanation:
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Divide:
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Answer:
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
-54 / -9
ok so first of all we can just change them to positive
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Step-by-step explanation:
Lin divides the polynomial 2x^2 -4x+1 by 4 and gets 0.5x^2 -x + 0.25. is 0.5x^2 - x +0.25 a polynomial
Answers
Answer: yes
Step-by-step explanation:
The expression 0.50 x² - x + 0.25 is a polynomial.
It is given that Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25.
We have to find out that whether the expression given is a polynomial ?
What do you mean by a polynomial ?
Polynomials are algebraic expressions that consist of variables and coefficients e.g., polynomial with one variable is x² + x - 12.
As per the question ;
Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25
Let's check ;
(2x² - 4x + 1 ) ÷ 4
= [tex]\frac{2x^{2} }{4}[/tex] - [tex]\frac{4x}{4}[/tex] + [tex]\frac{1}{4}[/tex]
= [tex]\frac{x^{2}}{2}[/tex] - x + 0.25
or
= 0.50 x² - x + 0.25
or a form of polynomial i.e., ax² + bx + c.
Thus , the expression 0.50 x² - x + 0.25 is a polynomial.
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