Step-by-step explanation:
Let the angle near point A be
.
Let the angle near point B be
.
Let the angle near point C be
.
Let the external angle near point A be
.
Let the external angle near point B be
.
Let the external angle near point C be
.
According to exterior angle property,exterior angle of an angle is the sum of other two angles.
So,

According to angle sum property,the sum of angles in the triangle add to 

A. 1 = 3/3 = 4/4 = 52/52 = x/x
B. 5 = 10/2 = 15/3 = 7.5/1.5 = 120/24 = 5a/a
All the ratios must equal each other
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Answer: Bottom left corner
Angle DEC and Angle DEH
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Explanation:
I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.
Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.
Answer:
I think the house would now costs $85,000
Step-by-step explanation:
First, I multiplied by how many years between 1950 to 2015 and 5 to get 325.
Next, I divided 20,000 by 100 to get 200 to find 1% of 20,000.
Then, I multiplied 325 by 200 to get 65,000
Finally, I added 20,000 to 65,000 to get 85,000
So, I guess/answer is $85,000
If I was wrong, then just say, "Sorry, but that was incorrect."