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valina [46]
3 years ago
15

A company uses the function f(x) = 2(3)¥ to project the number of stores that the company will have open x years after the compa

ny formed. What is the meaning of the value 3 in the function?
A. The company originally had 3 open stores.
B.The number of stores the company has open increases by 3% each
year.
C. The number of stores the company has open triples every year.
D. The number of stores the company has open increases by 3 each year.
of
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0
I think it’s d bc it increases by 3 each year
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103.468 rounded to the nearest leader
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Answer:

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Step-by-step explanation:

>In general if

all corresponding angels are ≅, and

all corresponding sides are in proportion

then the Δs are similar

>we have 3 similarity theorems AA, SSS, and SAS

a)

we can use that sum of angles in a triangle is 180 to find the missing angles

180-96-32 = 52

so in the smaller triangle the angles are 96°-52°-32°

in the larger triangle the angles given are 52°-32°

Since there are 2 corresponding angles congruent, AA theorem of similarity says that the 2 triangles are similar. The transformations were that the big triangle was shrunk and rotated

b)

here we are given a pair of congruent angles and we need to check if the sides are in proportion, is 14/44.8 equal to 20/64?

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since we have two corresponding sides in proportion and the angles in between them congruent the SAS theorem says that the 2 triangles are similar. The transformation was that the small triangle was dilated.

c)

because we are given the 2 angles are congruent we can conclude that the lines NH and SL are parallel. NH║SL let us conclude that ∡H and ∡ L are congruent because 2 parallel lines cut by a transversal (ML in our case) form congruent angles. So ΔMNH  is similar to ΔMSL because of AA theorem of similarity (one pair of A was given congruent, one other pair of A we concluded was congruent)

d)

here we have to check if all the sides are in proportion to see if SSS theorem of similarity applies here

18/90 = .2

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.2≠ .22 ≠ .28

since the sides are not in proportion the 2 triangles are NOT similar.

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