Answer:
∠N and ∠Y
Step-by-step explanation:
When two triangles are congruent then there corresponding parts ( angle or sides ) are also congruent or equal, ( CPCTC )
In triangles MNO and XYZ,
Side MN, NO and OM are corresponding to XY, YZ and ZX respectively,
And, angles M, N and O are corresponding to angles X, Y and Z respectively,
Thus, if ΔMNO ≅ ΔXYZ
By CPCTC,
MN ≅ XY
NO ≅ YZ
OM ≅ ZX
Also, ∠M ≅ ∠X, ∠N ≅ ∠Y and ∠O ≅ ∠Z
Hence, THIRD OPTION is correct.
Answer:
Step-by-step explanation:
Exponential growth function is 
Where 'a' is the initial population
r is the rate of growth and x is the time period in years
a steady population of 32,000. So initial population is 32,000
an increase of 8% per year. the rate of increase is 8% that is 0.08
a= 32000 and r= 0.08
Plug in all the values in the general equation
Answer:
P(t) = 27000 * (1/9)^(t/4)
Step-by-step explanation:
This problem can me modelled with an exponencial formula:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.
So, our function will be:
P(t) = 27000 * (1-8/9)^(t/4)
P(t) = 27000 * (1/9)^(t/4)
Answer:
28.09 for both including taxes
Step-by-step explanation:
6% of $14.50 is $0.87. 6% of $12 is $0.72. Together the values add up to $28.09.
