Answer:
n = - 4
Step-by-step explanation:
note that 625 = 
, then
= 
= 
Since the bases on both sides are equal, both 5 then equate the exponents
n = - 4
V=πr^2h/3=π·3^2·11.5/3≈108.38495 or 108.40 rounded
<h3>
Answer: x = 9</h3>
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Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
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Extra info (optional section)
Use this x value to find each angle shown below
- angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
- angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees
Then notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
So the rise over run is 5/-4
To start off take 10 degrees/96 cups
If you look at the pattern the degrees go up by 5 and the cups go down by 4
So I believe the answer should be
25 degrees = 84 cups
