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makvit [3.9K]
2 years ago
11

3. Solve the system using

Mathematics
1 answer:
anzhelika [568]2 years ago
3 0

Answer:

D. Infinite solutions.

Step-by-step explanation:

Since they give us the equation for (y) we just implement that equation in place of (y) in the second equation

15x+3y=27 now becomes

15x+3(-5x+9)=27

Distribute the 3

15x-15x+27=27

15x and -15x cancel out

27=27

Infinite solutions since both sides are exactly equal.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

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1.6x=1.28<br> help me solve this
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Answer:

Step-by-step explanation:

Sure! So, we need to divide by 1.6 on each side to isolate the x.

1.6x / 1.6 is just x. We need to divide by the same on the other side too!

1.28 / 1.6 is 0.8.

So x = 0.8

7 0
3 years ago
Find the area of a circle with a diameter of 4.
Oliga [24]

area of circle =22/7×4=12.56

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3 years ago
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Ms. Adler bought x bags of
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Answer:

Step-by-step explanation:

Number of bags = Total money spent / Cost of each bag

x = number of bags of chips

Simply divide 17.50 by 1.25 to work out how many bags of chips he can purchase.

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Someone please help me out with these questions . I don’t get them at all.
iVinArrow [24]

Answer:

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.

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3 years ago
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pav-90 [236]

Answer: 19

Step-by-step explanation:

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2 years ago
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