The area of the polygon with the given vertices is of 7.5 square units.
<h3>What is the area of a right triangle?</h3>
The area of a right triangle is given by half the multiplication of the lengths of it's sides.
The polygon in this problem is a right triangle with sides 3 and 5, hence the area is given by:
A = 0.5 x 3 x 5 = 7.5 square units.
More can be learned about the area of a right triangle at brainly.com/question/17335144
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24 sponge fingers and 420 jelly
Answer:
![\displaystyle x = \frac{216}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%20%5Cfrac%7B216%7D%7B7%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Cross-multiply:
![\displaystyle 6(2x - 2) = 19(x - 12)](https://tex.z-dn.net/?f=%5Cdisplaystyle%206%282x%20-%202%29%20%3D%2019%28x%20-%2012%29)
- Distribute:
![\displaystyle 12x - 12 = 19x - 228](https://tex.z-dn.net/?f=%5Cdisplaystyle%2012x%20-%2012%20%3D%2019x%20-%20228)
- Isolate <em>x</em> terms:
![\displaystyle -12 = 7x - 228](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-12%20%3D%207x%20-%20228)
- Isolate <em>x</em> term:
![\displaystyle 216 = 7x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20216%20%3D%207x)
- Isolate <em>x</em>:
![\displaystyle \frac{216}{7} = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B216%7D%7B7%7D%20%3D%20x)
- Rewrite:
![\displaystyle x = \frac{216}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%20%5Cfrac%7B216%7D%7B7%7D)
You add $1.29 and $1.29 and 16.5 and 16.5 and 4.5 and 4.5 and that equals $44.58.
I hope I helped you! :)
$1.29 + $1.29 + 16.5 + 16.5 + 4.5 + 4.5 = $44.58.
- Shelly O
D. y = 6x...subbing in (2,12)...x = 2 and y = 12
12 = 6(2)
12 = 12 (correct)
so (2,12) is a solution to : y = 6x