Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
Answer:
x = 
Step-by-step explanation:
Since you cannot subtract -1 from 4x, you multiply 2 × 4x = 8x
Now, you have 8x - 1 + 3 = 7
Seperate the 8x from the other numbers
8x = 1 - 3 + 7 ---> 6
8x = 6
Now simplify
x =
<----- to reduce, divide the numerator and denominator by 2
Hence,
x = 
Answer:
Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b
x
, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?
1) a = 15
4) Dogs after 1 years = 45
2) b = 3
5) Dogs after 2 years = 135
3) Equation:
y= 15 ×3x
6) Dogs after 3 years =
405
Step-by-step explanation:
The next four terms in the sequence are a + 6, a + 10, a + 14, a + 18. This is because you are adding 4 to what is being done to “a” each time. If you look at the pattern, you’ll see that 4 is being added and the “a” stays the same.
C, because the independent variable would be the variable that is changing -- in this case, the temperature. The dependent variable changes according to the independent variable, and is called so because it depends on the temperature of the pool.