Answer:
20 side polygon: 180 x (20 -2)
Step-by-step explanation:
A n side polygon can be divided into n-2 triangles
each triangle has 180°
n-2 triangles have 180 x (n-2) degrees
Is 144m,165m,219m a right triangle
1 answer:
Answer:
Yes
Step-by-step explanation:
For a triangle to be rights angled.
It should follow Pythagoras theorem.
Pythagoras theorem states that if sides containing right angle is a and b
then is given by
hypotenuse =
As hypotenuse is always the greatest side
Out of the given sides 144m,165m,219m
219 can only be hypotenuse
Thus side containing right angle will be 144m and 165m .
Lets plug these value in formula of Pythagoras theorem
As we can see that hypotenuse calculated by us is same as given in problem.
Thus the given triangle is right angled.
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Part (a)
Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.
Since f(-1) = 4, this means we can then say
g( f(-1) ) = g( 4 ) = 4
To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.
<h3>Answer: 4</h3>==========================================================
Part (b)
We use the same idea as part (a)
f(-2) = 5
g( f(-2) ) = g(5) = 6
<h3>Answer: 6</h3>==========================================================
Part (c)
Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.
g(1) = -2
f( g(1) ) = f(-2) = 5
<h3>Answer: 5</h3>==========================================================
Part (d)
Same idea as part (c)
g(2) = 0
f( g(2) ) = f( 0 ) = 3
<h3>Answer: 3</h3>