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marysya [2.9K]
3 years ago
10

Reuben and his wife are each starting a saving plan. Reuben will initially set aside $50 and then add $50.85 every week to the s

avings. The amount A (in dollars) saved this way is given by the function =A+50.85N50, where N is the number of weeks he has been saving.
His wife will not set an initial amount aside but will add $70.55 to the savings every week. The amount B (in dollars) saved using this plan is given by the function =B70.55N.

Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.
Mathematics
1 answer:
ch4aika [34]3 years ago
8 0

Answer:

#######################

Step-by-step explanation:

#################### ##### ######## ########   ############## ####### ######## #### #############

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Is 2/4 greater then 5/6?
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Someone please help me out with these questions . I don’t get them at all.
iVinArrow [24]

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a)similar; b)similar; c)similar; d)NOT similar

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?

14/44.8 =.3125 is equal to 20/64=.3125

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

44/202.4≈.22

58.5/211.2≈.28

.2≠ .22 ≠ .28

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

4 0
3 years ago
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