Answer:
45 degrees
Step-by-step explanation:
The formula to find the sum of all the interior angles in an "n-gon" (n is a variable that stands for the numbers of sides, ex) 20-gon --> 20 sided polygon) is .
Let's plug in 100 to find the sum of all the interior angles in a 100-gon.
I would rather distribute than simplify the parentheses and have to multiply 180 by 98.
So:
= degrees
[REMEMBER, IT WAS NOT GIVEN THAT THIS POLYGON IS REGULAR, SO <u>DO NOT</u> DIVIDE 17640 BY 100]
Now to find the last angle, we can just subtract since we are given the value of 99 of the 100 angles (17595 degrees).
So the last angle is degrees
Answer:
11'
Step-by-step explanation:
no need for explanation. btw i dont trust my answer so i not sure 100% if it may help
Since this is a 30-60-90 right triangle, we know that the sides exist in the proportion 1:3‾√
:2. The shortest side, 1, is opposite the 30 degree angle. Since side X is opposite the 60 degree angle, we know that it is equal to 1∗3‾√
Or about 1.73. Finally, side Y is opposite the right angle, and it is twice the shortest side, or 2.
Answer:
1, 3,5,9,11,13,15
Step-by-step explanation:
<h3>Answer is -9</h3>
=================================
Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
-------
alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.