Answer:

Step-by-step explanation:
The population of a city is 250,000 and the annual growth rate is 2.2%
General equation for exponential growth is

Where y is final population and P is the initial population
'r' is the rate of growth and x is the number of years
p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton


D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.
C
is wrong as well. The triangles might be similar, but they are more. They are congruent.
B
You don't have to prove that. It is given on the way the diagram is marked.
A
A is your answer. The two triangles are congruent by SAS
Answer;
The answer is the second; log ₁₂1/4
Explanation;
From the laws of logarithms, given an expression in the form;
Log ₓ y, where x is the base and y is the number, we can apply the change of base formula to a logarithmic expression to get;
Log y/log x, which are to base 10
Thus; Log₁₂1/4 = log 1/4/ log 12
Answer:
9 units.
Step-by-step explanation:
Let us assume that length of smaller side is x.
We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is
, then the proportion of their area is
.
We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:




Take positive square root as length cannot be negative:


Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.