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sleet_krkn [62]
4 years ago
10

Select each type of line of symmetry that the following figure has, if any. [Hint: A capital letter "O' is an oval, not a

Mathematics
1 answer:
AlladinOne [14]4 years ago
7 0

Answer:

vertical and horizantal

Step-by-step explanation:

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What is the square footage of a ploygon that is 120 x 100?
viva [34]

Answer:

12000

Step-by-step explanation:

8 0
3 years ago
Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
3 years ago
Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
Serjik [45]

*See attachment for the diagram

Answer:

Tan 60 = √3

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

Tan 60 = Opp/Hyp

From the diagram given,

Opp = YZ = ?

Hypotenuse = XY = 42

Find the length of YZ using Pythagorean Theorem:

YZ = √(42² - 21²) = √1,323

YZ = √(441 × 3) = 21√3

✔️Find Tan(60):

Tan 60 = Opp/Hyp = YZ/XY

Tan 60 = (21√3)/21

Tan 60 = √3

5 0
3 years ago
Read 2 more answers
6x squared plus 12x plus 13 equals 2x squared plus 4
Andrews [41]
12x^2+12x+3=2x^2+4\\\\12x^2-2x^2+12x+3-4=0\\\\10x^2+12x-1=0\\\\a=10;\ b=12;\ c=-1\\\\\Delta=12^2-4\cdot10\cdot(-1)=144+40=184\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{184}=\sqrt{4\cdot46}=2\sqrt{46}\\\\x_1=\frac{-12-2\sqrt{46}}{2\cdot10}=\frac{-6-\sqrt{46}}{10};\ x_2=\frac{-12+2\sqrt{46}}{2\cdot10}=\frac{-6+\sqrt{46}}{10}
6 0
3 years ago
In the supermarket, there is a scale that measures the weight of fruit and vegetables. The needle is 24 cm long and it rotated 9
Mumz [18]
We find the length of the arc followed by the needle. For this, we first need to convert the subtended angle to radians:
96/∅ = 180/π
∅ = 1.68 rad
S = r∅
S = 24 x 1.68
Distance covered by needle = 40.32 cm
4 0
4 years ago
Read 2 more answers
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