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solong [7]
3 years ago
6

1. describe a sequence of transformations that maps ∆ ABC to ∆ A’ B’ C’.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

1. First (x+10,y), -> (x,-y)

You add +10 to the x of each point moving the triangle horizontally and then you reflect it across the x-axys.

2.

a) Original point (5,3) -> (x+5,-y )

(5+5, 3(-1)) = (10, -3)

b) Original point (-2,7) -> (x+5, -y)

(-2+5, 7(-1)) = (3, -7)

3. The rule for counterclockwise rotation 90° is (x,y) -> (-y,x )

P = (1, -1) -> (1, 1)

Q = (3, -2) -> (2, 3)

R = (3, -4) -> (4, 3)

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zavuch27 [327]

Answer:

x = 2

Step-by-step explanation:

<u>Step 1:  Set 3x - 2 equal to 5x - 6 to get x</u>

3x - 2 = 5x - 6

<u>Step 2:  Solve for x</u>

3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x

4 / 2 = 2x / 2

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Answer:

b equals 20

Step-by-step explanation:

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3 years ago
June needs 45 gallons of punch for a party and has 2 different coolers to carry it in. The bigger cooler is 5 times as large as
mixer [17]

Answer:

The capacity of smaller cooler = 7.5 gallons

The capacity of bigger cooler = 37.5 gallons

Step-by-step explanation:

Let smaller cooler's capacity be x gallons

Hence

Larger cooler's capacity will be 5x gallons

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x + 5x = 45

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x + 5x = 45

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The capacity of smaller cooler = 7.5 gallons

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4 0
3 years ago
List the ordered pairs in the equivalence relations produced by these partitions of {a, b, c, d, e, f, g}: a) {a,b},{c,d},{e,f,g
finlep [7]

Answer:

a)  {a,b} , {c,d} , {e,f,g},{a , b } = {(a,a) (b,b) (a,b) (b,a)},{c , d } = {(c,c) (d,d) (c,d) (d , c) } ,{e,f,g} = {(e,e) (e,f)  (f,e) (e,g) (f,f) (f,g) ( g,e) (g,f)(g,g)}  

b) { (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)

c)  {(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

Step-by-step explanation:

a) {a,b} , {c,d} , {e,f,g}

  {a , b } = {(a,a) (b,b) (a,b) (b,a)}

  {c , d } = {(c,c) (d,d) (c,d) (d , c) }

  {e,f,g} = {(e,e) (e,f)  (f,e)  (e,g) (f,f) (f,g) ( g,e) (g,f) (g,g)}  

b) {a} ,{b},{c,d} ,{e,f},{g}

     { (a,a)(b,b)(c,c)(c,d)(d,c)(d,d)(e,e)(e,f)(f,e)(f,f)(g,g)}

c)  {a,b,c,d},{e,f,g}

   {(a,a)(a,b)(b,b)(b,a)(a,c)(c,a)(b,c)(c,b)(c,c)(d,a)(a,d)(b,d)(d,b)(d,c)(c,d)(d,d)(c,c)(c,f)(f,c)(f,f)(c,g)(g,c)(f,g)(g,f)(g,g)

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3 years ago
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