M∠2 = 180 - m∠1 = 180 - 3x [supplementary angles<span>]
</span>In a triangle, the three interior angles always add to 180° ⇒
m∠2 + m∠3 + m∠5 = 180 <span>
180-3x + 2x+20 + 30 = 180
230 - x = 180
x = 230 - 180
x = 50</span>
Answer:
Step-by-step explanation:
Answer:
A)
Decay
B)
Initial value is 5.
C)
The decay factor is 0.75.
D)
75%
Step-by-step explanation:
An exponential function is given by:
![f(x)=a(r)^x](https://tex.z-dn.net/?f=f%28x%29%3Da%28r%29%5Ex)
Where a is the initial value and r is the rate.
We have the function:
![y=5(1/4)^x](https://tex.z-dn.net/?f=y%3D5%281%2F4%29%5Ex)
So, a = 5 and r = 1/4.
A)
Remember the guidelines:
- It is exponential growth if r > 1.
- And it is exponential decay if r < 1. (And r must be positive.)
Our rate is 1/4 or 0.25.
It is less than 1, so our function is exponential decay.
B)
The initial value is the value in front of our rate.
So, our initial value in this case is 5.
C)
The decay factor will be 1 - r, where r is our rate.
Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.
So, we are decaying by a factor of 0.75.
D)
To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.
So, 0.75 will be 75.0 % or smply 75%.
It is a 75% decay.
Answer:
Mercury, venus, earth, Mars, jupiter, saturn, uranus and neptune.
You would save 407 dollars by getting the kids at 19 a piece and the adults at 25 a piece instead of paying the 32 dollars for each person