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nadya68 [22]
3 years ago
6

For ΔABC, which transformation composition is COMMUTATIVE?

Mathematics
2 answers:
liq [111]3 years ago
4 0
Commutative transformation is type of transformation in which the order of operations doesn't affect the result of transformation.
The only commutative transformation is D.
vladimir2022 [97]3 years ago
3 0

Answer:

<h3>option: D.</h3>

Step-by-step explanation:

We are asked  which transformation composition is COMMUTATIVE i.e. <em>we are asked to find that the resultant figure is independent of the operations applied to it  in any order.</em>

  • Also we know that translation and rotation together are not commutative hence, A and B options are incorrect.
  • Also rotation and reflection applied to a figure are not commutative.
  • But a pair of  reflection applied to a figure will be commutative

Hence, option: D is correct. (reflect across the y-axis and then reflect across the x-axis.)



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F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.
BartSMP [9]

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

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3 years ago
At Greg's Gas Station premium gasoline costs $0.14 more per gallon than regular gasoline . If Mr. Adams spent $36.25 on 12.5 gal
Maslowich

Answer:

Step-by-step explanation:

At Greg's Gas Station premium gasoline costs $0.14 more per gallon than regular gasoline .

Let the cost of regular gasoline be $x per gallon, then the cost of premium gasoline per gallon will be x + 0.14

If Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline, it means that 12.5x = 36.25

x = 36.25/12.5 = $2.9

The cost of regular gasoline is $2.9 per gallon

Therefore, cost of premium gasoline per gallon will be 2.9+ 0.14 = 3.04

if he bought 12.5 gallons of premium gasoline instead, he would have paid

12.5× 3.04 = $38

The amount that he would have spent more will be

38 - 36.25 = $1.75

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3 years ago
What is the equation of the line graphed below?
irga5000 [103]

Answer:

y=-7/2x - 2

Step-by-step explanation:

The slope is heading downwards so we know it is negative, for every two units moved on the x axis the y axis moves by 7 units. The starting point is -2

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igomit [66]

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