Answer:
I think it 129 If not try 4
<h3>
Answers: x = 30 and y = 150</h3>
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Explanation:
For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.
One pair of such angles is A and C
A+C = 180
x+y = 180 is one equation to form
The other pair of supplementary angles is B and D
B+D = 180
y-45+2x+15 = 180
2x+y-30 = 180
2x+y = 180+30
2x+y = 210 is the other equation to form
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So the system of equations we have is
![\begin{cases}x+y = 180\\2x+y = 210\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dx%2By%20%3D%20180%5C%5C2x%2By%20%3D%20210%5Cend%7Bcases%7D)
Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.
- The x terms subtract to x-2x = -x
- The y terms subtract to y-y = 0y = 0, so the y terms go away
- The right hand sides subtract to 180-210 = -30
We end up with -x = -30 which solves to x = 30
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Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y
Let's say we picked on the first equation
x+y = 180
30+y = 180
y = 180-30
y = 150
Or we could pick on the second equation
2x+y = 210
2(30) + y = 210
60+y = 210
y = 210-60
y = 150
Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.
Answer:
5x+15
Step-by-step explanation:
![3(x+5)+2x \\3x+15+2x\\5x+15](https://tex.z-dn.net/?f=3%28x%2B5%29%2B2x%20%5C%5C3x%2B15%2B2x%5C%5C5x%2B15)
Answer:
![\huge - \frac{8}{11} \\](https://tex.z-dn.net/?f=%20%20%5Chuge%20%20-%20%5Cfrac%7B8%7D%7B11%7D%20%20%5C%5C%20)
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
![m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20y_2%20-%20y%20_%201%7D%7Bx_%202%20-%20x_%201%7D%20%5C%5C)
From the question we have
![m = \frac{16 - 8}{9 - 20} = \frac{8}{ - 11} = - \frac{8}{11} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B16%20-%208%7D%7B9%20-%2020%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B%20-%2011%7D%20%20%3D%20%20-%20%20%5Cfrac%7B8%7D%7B11%7D%20%20%5C%5C%20)
We have the final answer as
![- \frac{8}{11} \\](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B8%7D%7B11%7D%20%20%5C%5C%20)
Hope this helps you
Answer:
10164
Step-by-step explanation:
14
350
2800
7000
add them up