The X and Y angles created by lines intersection in the pictures are 18° and 54°.
Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:
∠MON = ∠MOA +∠AON = 90°
∠MON = 72° + ∠AON = 90°
∠AON = 18° ... (i)
If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:
∠AOD = ∠BOC
∠AOC = ∠BOD
∠AOD + AOC = 180°
∠BOC + ∠BOD = 180°
Based on the picture, we know that:
∠BOC = x
∠AOC = ∠MOA + ∠MOC
∠AOC = 72° + y ...(ii)
∠AOD = ∠AON + ∠NOD
∠AOD = 18° +2x
∠BOC = 3x ... (iii)
Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:
∠BOC = ∠AOD
3x = 18° + 2x
x = 18° ... (iv)
To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we know that:
∠AOC + ∠BOC = 180° ... (v)
Input equations (ii) and (iv) into (v)
∠AOC + ∠BOC = 180°
(72° + y) + 3x = 180°
72° + y + 3(18°) = 180°
126° + y = 180°
y = 54° ... (vi)
Learn more about the angles by lines intersection here: brainly.com/question/2077876?referrer=searchResults
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Cross multiplying:-
18*x = 12*30
x = 360 / 18
x = 20 answer
Answer:
17
Step-by-step explanation:
Since angle KLJ~angle VWU are similar :
KL / WV = KJ/ UV
(25 / 20) = (4x - 23 / 2x + 2)
Cross multiply :
25(2x + 2) = 20(4x - 23)
50x + 50 = 80x - 460
50x - 80x = - 460 - 50
-30x = -510
x = 510 / 30
x = 17
Answer:
The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.
Step-by-step explanation:
It is given that x-intercept is 1 and y-intercept is -2.
Now, the coordinate of the point is (1,0) and (0,-2).
We know that,
Slope = 
Now, Slope of the graph given
Co-ordinate is (-5,0) and (1,2).
Using the formula of slope
Now, 
Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.
The correct answer is y=2/3x-1/3
