Check the picture below.
so the area of the hexagon is really just the area of two isosceles trapezoids.
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20a%3D2%5C%5C%20b%3D4%5C%5C%20h%3D2%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%3D%5Ccfrac%7B2%282%2B4%29%7D%7B2%7D%5Cimplies%20A%3D6%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Btwice%20that%20much%7D%7D%7B2A%20%3D%2012%7D%20%5Cend%7Barray%7D)
Answer:
See the proof below
Step-by-step explanation:
Let the line AB be a straight line on the parallelogram.
A dissection of the line (using the perpendicular line X) gives:
AY ≅ BX
Another way will be using the angles.
The angles are equal - vertically opposite angles
Hence the line AY ≅ BX (Proved)
To work out the decrease, do original amount - new amount and then take that answer and divide it by the original amount, and then multiply by 100.
So you would do:
36.24 - 30.80 = 5.44
5.44 ÷ 36.24 × 100 = 15% to the nearest percent.
Answer:
88 in²
Step-by-step explanation:
The shape of a pizza = Circular
Area of a circle = πr²
For Martin
Martin ordered a pizza with a 12-inch diameter.
Radius = Diameter/2 = 12 inch/2 = 6 inch
Area of Martin's pizza = π × 6²
= 113.09733553 in²
≈ 113.1 in²
For Ricky
Ricky ordered a pizza with a 16-inch diameter.
Radius = Diameter/2 = 16 inch/2 = 8 inch
Area of Martin's pizza = π × 8²
= 201.06192983in²
= 201.1in²
The approximate difference in area of the two pizzas in square inches is calculated as:
201.1 in² - 113.1 in²
= 88 in²
Step-by-step explanation:
first bring 87.5 to right
25t=12.5+87.5
25t=100.0
then bring 25 to right so it will divided
t=100.0/25
t=4
putting value of t in 25t-87.5=12.5
25(4)-87.5=12.5
