The statement that explains how the company can determine whether pool LMNO is similar to pool PQRS is;
B. Translate PQRS so that point Q of PQRS lies on point M of LMNO, then dilate PQRS by the ratio segment PQ over segment LM.
<h3>How to carry out Transformations?</h3>
Given that quadrilaterals ABCD and EFGH are similar:
The corresponding points on the quadrilaterals are:
P → L
Q → M
R → N
S → O
So, the first step is any of the following:
Translate point P to L
Translate point Q to M
Translate point R to N
Translate point S to O
Notice that the side lengths of PQRS are bigger than that of LMNO
This means that the Quadrilateral PQRS has to be dilated (compressed) by a ratio of side lengths of LMNO divided by side lengths of PQRS
For example, the point M is translated to point Q. The figure will then be dilated by a ratio of LM divided by PQ.
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The growth factor that could be used to model the population will be 1.04. Then the correct option is D.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.
The population is increasing by 4% per year.
Then the growth factor that could be used to model the population will be
Growth factor = (1 + 4%)
Growth factor = (1 + 0.04)
Growth factor = 1.04
The growth factor that could be used to model the population will be 1.04.
Then the correct option is D.
More about the exponent link is given below.
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Answer:
10 inches
Step-by-step explanation:
