Answer:
KPF = 9 and H = 129
Step-by-step explanation:
An inscribed quadrilateral in a circle has all diagonal angles add up to 180, so we can use this to find the angles of the quadrilateral.
H= 180-EPK and K = 180-E so H = 129 and K = 60
Now PF and EH are parallel, so PE is a transversal. That means FPE = 180 - E = 60. Now it's pretty easy to solve for KPF = FPE - EPK = 60 - 51 = 9.
Let me know if you don't see how I did any of this and I'll be happy to explain it..
Answer:
Point E
Step-by-step explanation:
Notice that point E is the only point where you can draw a straight line from E to A' to A, E to B' to B, etc. That is, the line doesn't have to turn or bend to reach these three points. This doesn't work with any other point, so you know E is the point of dilation.
You can more firmly determine this by looking at the ratios of the distances. Notice how E is the only point where the ratio from of E to A and E to A' is equal to the ratio from of E to B and E to B', and so on for each vertex of the quadrilateral.
Answer:
y = --0.25x + 1
Step-by-step explanation:
In order to find the equation of a line, you must first find the slope of the line.
The equation to find slope is .
Plug in the given points:
(x2, y2) = (-8,3)
(x1, y1) = (-4,2)
(y2 - y1) / (x2 - x1) = (3-1)/ (-8 - -4) = (3-2) / (-8 + 4) = 1/-4 = -0.25
Next, you solve for the y-intercept using one of the two coordinates:
y = -0.25x + b
2 = -0.25(-4) + b
2 = 1 + b
b = 2 - 1 = 1
y = -0.25x + 1
The gcd of 5767 and 4453 is 73.
Hope this helps. :)
Answer:
The answer should be B: 33.0
Step-by-step explanation:
I just used a calculator.