Answer:
60
Step-by-step explanation:
What we know:
- ABD is a straight angle, it measures 180 degrees
- Angle CBA + CBD = 180 degrees
- Angle GFH = CBA (they are alternate exterior angles)
Equation:
GFH + CBD = 180
Substitute:
3x + 6x = 180
Add:
3x + 6x = 180
9x = 180
Divide:
9x = 180
/9 /9
x = 20
Substitute:
GFH = 3x
GFH = 3(20)
GFH = 60
m<GFH is 60°
Answer:
B 137.32 cm³
Step-by-step explanation:
The original volume is
V = pi r^2 h
V = pi (3)^2 ( 12)
V =108 pi cm^2 = 339.12
the diameter increases by 1.12 6*1.12 = 6.72
r = 6.72 /2 =3.36
The height will increase by 1.12 so 12*1.12
V = pi ( 3.36)^2 ( 13.44)=476.4391834
The difference is
476.4391834 - 339.12 = 137.3191834
To the nearest hundredth
137.32
Answer:
The quotient is 
Step-by-step explanation:
We first use the remainder theorem to determine whether
is divisible by
:

the remainder is zero which means
is divisible by
.
Now, we could do polynomial long division to find the quotient, but in this case, it turns out that guessing is easier.

is factored as

which means

which means the quotient is 
m = 0
Step-by-step explanation:
If it's written in y =mx + c form, x is 0 and so is m.
Thus, m should be 0
Answer: The vertical asymptoms are " x = 3" and " x = -3 " .
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The answer is: " x = ± 3 " .
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Explanation:
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The "denominator" cannot equal "0" ; since one cannot "divide by "0" ;
So; set the "denominator" equal to "0" ;
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→ " x² − 9 <span>= 0 " ; Solve for all values of "x" ;
</span>
Add "9" to each side of the equation:
→ x² − 9 + 9 = 0 + 9 ;
to get:
→ x² = 9 ;
Take the square root of each side of the equation;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ √(x²) = √9 ;
→ |x| = 3 ;
→ x = <span>± 3 .
</span>__________________________________________________
Answer: The vertical asymptoms are " x = 3" and " x = -3 " .
__________________________________________________
The answer is: " x = ± 3 " .
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