We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.
∠WYX and ∠WYZ are complementary.
We know, sum of complementary angles is = 90°.
So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.
m∠WYX + m∠WYZ = 90°.
Plugging values of ∠WYX and ∠WYZ in the above equation, we get
(2x−1)° + (4x+1)° = 90°.
Removing parentheses from both sides,
2x-1 + 4x+1 =90.
Combining like terms,
2x+4x= 6x and -1+1 =0
6x +0 =90.
6x=90.
Dividing both sides by 6.
6x/6 =90/6
x= 15.
Plugging value of x=15.
m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29
m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.
Therefore, ∠WYX=29° and ∠WYZ=61°.
Step-by-step explanation:
Part C: Of the following choices, which equation is the best fit line for the data
As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.
So we have: C and D left.
Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.
D f(x) = -34x + 320
Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.
year 2010, x =5 so let substitute x =5 into f(x) = -34x + 320
<=> f(x) = -34*5 + 320
= 150 mil
The result is smaller than the real data, (201-150 = 51 mil)
Part E: In what year is the population predicted to go extinct
the population predicted to go extinct when f(x)= 0
<=> -34x + 320 = 0
<=> x ≈ 9.4
So after 10 years, the the population predicted to go extinct
172 that’s all just add much
Answer:
Step By Step Explanation:
Follow PEMDAS Order Of Operations
Calculate Within Parenthesis: 
Calculate Exponents: 
Divide: 
Add
➤ 
Answer:
5.4 m
Step-by-step explanation:
18/3 = x/0.9
0.9(18/3) = x
x = 5.4
