![\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}](https://tex.z-dn.net/?f=%5Chuge%5Cunderline%7B%5Cred%7BA%7D%5Cblue%7Bn%7D%5Cpink%7Bs%7D%5Cpurple%7Bw%7D%5Corange%7Be%7D%5Cgreen%7Br%7D%20-%7D)
- Given - <u>an </u><u>equation</u><u> </u><u>in </u><u>a </u><u>standard</u><u> </u><u>form</u>
- To do - <u>simplify</u><u> </u><u>the </u><u>equation</u><u> </u><u>so </u><u>as </u><u>to </u><u>obtain </u><u>an </u><u>easier </u><u>one</u>
<u>Since </u><u>the </u><u>equation</u><u> </u><u>provided </u><u>isn't</u><u> </u><u>i</u><u>n</u><u> </u><u>it's</u><u> </u><u>general</u><u> </u><u>form </u><u>,</u><u> </u><u>let's</u><u> </u><u>first </u><u>convert </u><u>it </u><u>~</u>
<u>General</u><u> </u><u>form </u><u>of </u><u>a </u><u>Linear</u><u> equation</u><u> </u><u>-</u>
![\bold{ax + b = 0}](https://tex.z-dn.net/?f=%5Cbold%7Bax%20%20%2B%20b%20%3D%200%7D)
<u>T</u><u>he </u><u>equation</u><u> </u><u>after </u><u>getting</u><u> </u><u>converted</u><u> </u><u>will </u><u>be </u><u>as </u><u>follows</u><u> </u><u>~</u>
![- 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}](https://tex.z-dn.net/?f=%20-%207%20%2B%20%28%20%5Cfrac%7B4x%20%2B%202%7D%7B2%7D%20%29%20%20%3D%208%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20%20%5Cfrac%7B%20-%2014%20%2B%204x%20%2B%202%7D%7B2%7D%20%20%3D%208%20%5C%5C%20%20%5C%5C%20%20%5Cimplies%20%5C%3A%20%20-%2014%20%2B%204x%20%2B%202%20%3D%2016%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%204x%20%3D%2016%20%2B%2014%20-%202%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%204x%20%3D%2028%20%5C%5C%20%20%5C%5C%5Cbold%7B%20General%20%5C%3A%20form%20%5C%3A%20%20%5Cdashrightarrow%20%20%5C%3A%204x%20-%2028%20%3D%200%7D)
hope helpful ~
Problem 1
x = measure of angle N
2x = measure of angle M, twice as large as N
3(2x) = 6x = measure of angle O, three times as large as M
The three angles add to 180 which is true of any triangle.
M+N+O = 180
x+2x+6x = 180
9x = 180
x = 180/9
x = 20 is the measure of angle N
Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.
<h3>Answers:</h3>
- Angle M = 40 degrees
- Angle N = 20 degrees
- Angle O = 120 degrees
====================================================
Problem 2
n = number of sides
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
2700 = 180(n-2)
n-2 = 2700/180
n-2 = 15
n = 15+2
n = 17
<h3>Answer: 17 sides</h3>
====================================================
Problem 3
x = smaller acute angle
3x = larger acute angle, three times as large
For any right triangle, the two acute angles always add to 90.
x+3x = 90
4x = 90
x = 90/4
x = 22.5
This leads to 3x = 3*22.5 = 67.5
<h3>Answers:</h3>
- Smaller acute angle = 22.5 degrees
- Larger acute angle = 67.5 degrees
Can I get your number and I will help you
Kaylas piece is not heavier, is this a trick question?
Answer:
6,469!
Step-by-step explanation:
180-20=160
53-33=20
160*20=3,200
3,269+3,200=6,469