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Marta_Voda [28]
3 years ago
11

The vertices of / are G(–4, 0), H(5, 2), and I(–2, –3). / is rotated 270° counterclockwise about the origin to form /. What are

the coordinates of the vertices of /? A. G’(–4, 0), H’(5, 2), I’(–2, –3) B. G’(0, 4), H’(–2, –5), I’(3, 2) C. G’(0, 4), H’(2, –5), I’(–3, 2) D. G’(4, 0), H’(–5, 2), I’(2, –3)
Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0
The awnser would be C
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Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi
ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

<em><u>Solution:</u></em>

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

<em><u>Therefore, we can frame a equation as,</u></em>

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

3 \times d + 10 \times p = 54.50

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

9 \times d + 5 \times p = 57.25

9d + 5p = 57.25 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

<em><u>Substitute p = 4.25 in eqn 1</u></em>

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

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