to make the proportion we make the ratio of the similar sides
For example
4/8 = 12/x
or we can write it as 4/12 = 8/x
or 12/x = 4/8
So last option is correct
Answer:
The approximate are of the inscribed disk using the regular hexagon is 
Step-by-step explanation:
we know that
we can divide the regular hexagon into 6 identical equilateral triangles
see the attached figure to better understand the problem
The approximate area of the circle is approximately the area of the six equilateral triangles
Remember that
In an equilateral triangle the interior measurement of each angle is 60 degrees
We take one triangle OAB, with O as the centre of the hexagon or circle, and AB as one side of the regular hexagon
Let
M ----> the mid-point of AB
OM ----> the perpendicular bisector of AB
x ----> the measure of angle AOM

In the right triangle OAM

so

we have

substitute

Find the area of six equilateral triangles
![A=6[\frac{1}{2}(r)(a)]](https://tex.z-dn.net/?f=A%3D6%5B%5Cfrac%7B1%7D%7B2%7D%28r%29%28a%29%5D)
simplify

we have

substitute

Therefore
The approximate are of the inscribed disk using the regular hexagon is 
<h2>
Answer: y = ⁵/₂ x - 13 OR y + 8 =
⁵/₂ x - 5 </h2>
<h3>
Step-by-step explanation:</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.
⇒ if the slope of this line = - ²/₅
then the slope of the perpendicular line (m) = ⁵/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-8) = ⁵/₂ (x - 2)
∴ y + 8 = ⁵/₂ (x - 2)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y + 8 = ⁵/₂ (x - 2)
y = ⁵/₂ x - 13
Answer:
mass of solution = mass of sugar / concentration
mass of water = mass of solution - mass of sugar
Answers for 50%
mass of solution = 0.5 lbs / 50% = 0.5 lbs / 0.5 = 1 lbs syrup
mass of water = 1 lbs - 0.5 lbs = 0.5 lbs of water
Answers for 5%
mass of solution = 0.5 lbs / 0.05 = 10 lbs syrup
mass of water = 10 lbs - 0.5 lbs = 9.5 lbs of water
Answers for 75%
mass of solution = 0.5 lbs / 0.75 = 0.6667 lbs syrup
mass of water = 0.6667 lbs - 0.5 lbs = 0.1667 lbs of water
Answers for 1.5%
mass of solution = 0.5 lbs / 0.015 = 33.33 lbs syrup
mass of water = 33.33 lbs - 0.5 lbs = 32.83 lbs of water
Answer:
Transfer of electrons
Form Crystals
High boiling & melting points
Dissolve in water
Good conductor of electricity