Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
Answer: 8.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) =18/100 = 0.18
t= years
A = population after t years
Replacing with the values given:
192,000 = 47,000 (1+ 0.18)^t
Solving for t:
192,000/47,000 = 1.18^t
4.08 =1.18^t
ln 4.08 = ln 1.18^t
ln 4.08 =t (ln 1.18)
ln 4.08 / ln 1.18 =t
8.5 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
2/35
Step-by-step explanation:
There are 15 marbles in total.
×
The answer would be 
.
Answer:
(1,-1)
Step-by-step explanation:
