Answer:
x=80* y=20* and X=100*
Step-by-step explanation:
If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.
We know that a triangle adds up to 180 degrees.
Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).
By opposite angles, QXP is equal to 80 degrees also.
Then we are left with solving for X.
Supplementary angles add up to 180 degrees.
Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.
Answer:
4
Step-by-step explanation:
Pick two points on the line
(0,-5) and (1,-1)
We can find the slope using
m = (y2-y1)/(x2-x1)
= ( -1 - -5)/(1 - 0)
(-1+5)/(1-0)
4/1
= 4
The answer to this equation would be 7/20. Hope this helps! :D
~PutarPotato
we can take a peek at two of those lines hmmm say y = 5x + 3 and y = 5x + 7.
let's notice, those two equations for those lines are in slope-intercept form, so let's solve the system.
since y = y then
5x + 3 = 5x + 7
3 = 7 what the?
well, notice, both lines have the same slope of 5, but different y-intercept, one has it at y = 3 and the other at y = 7, what does that mean?
it means that both lines are parallel to each other, one may well be above the other, but both are parallel, and since a solution to the system is where their graphs intersect, well, parallel lines never touch, so a system with two parallel lines has no solutions.
The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
<h3>What is a quadratic equation?</h3>
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have

Add and subtract 121, we have
![f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%28x%5E2%20-%2022x%20%2B121%20-%20121%20%29%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%5B%28x%5E2%20-%2011%29%5E2-121%5D%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%28x-11%29%5E2%20-%20242%20%2B%20185%5C%5C%5C%5Cf%20%28x%20%29%20%3D%202%28x-11%29%5E2%20-57)
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
brainly.com/question/2263981