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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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In a particular country, there are two types of currency: Kabuls and Carumpts. 8 Kabuls and 2 Carumpts are worth $61.70. 3 Kabul
Misha Larkins [42]

Answer:

Kabuls = 7.5

Carumpts= 0.85

Step-by-step explanation:

Let x represent the price of kabuls

Let y represent the price of carumpts

8x + 2y= 61.70......equation 1

3x + 10y= 31.........equation 2

Multiply equation 1 by 3 and equation 2 by 8

24x + 6y= 185.1

24x + 80y= 248

-74y = -62.9

y= 62.9/74

y= 0.85

Substitute 0.85 for y in equation 1

8x + 2(0.85) = 61.70

8x + 1.7= 61.70

8x = 61.70-1.7

8x = 60

x= 60/8

x= 7.5

Hence the dollar value for kabuls is 7.5 and carumpts is 0.85

3 0
2 years ago
Find 30% of 70<br> a. 21<br> b. 36<br> c. 40
gtnhenbr [62]
A is your answer

We can cross multiply using x/70=30%/100

Solving it we get:
100x=2100 (70 times 30)
x=21


So we get a, 21 as your answer.

I hope this helped!
8 0
3 years ago
Read 2 more answers
PLZ HELP QUICKLY! I don't need an explanation just the answer
Phantasy [73]

Answer:

\cos(28)  =  \frac{14}{x}

x =  \frac{14}{ \cos(28) }  = 15.85

x= 15.9

option D

3 0
3 years ago
Determinet the x-intercept for 3x+2y=14
DerKrebs [107]

The x-intercept is for y = 0.

Put y = 0 to the equation of a line 3x + 2y = 14

3x+2(0)=14\\\\3x=14\qqud\text{divide both sides by 3}\\\\\boxed{x=\dfrac{14}{3}\to\left(\dfrac{14}{3};\ 0\right)}

3 0
3 years ago
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip t
borishaifa [10]

Answer:

The original speed of the grey wolf can be 9 and/or 48 km/hour

Step-by-step explanation:

There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).

First trip: KC - MAG

It takes the same distance as MAG - KC so distance can be D for both.

Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.

Let x be speed.

So the equation for this is:

D=5x

Second trip: MAG - KC

Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).

For Time:

He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.

The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.

Let T#1 = a, and T#2 = b.

Let D#2 = D-36

The equation for a:

a = 36/x --> This is he is at a constant speed and went for 36mi.

Next:

The equation for b:

b = (x+3)/D#2

These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.

So the equation is:

36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).

Now Solve:

36/x + (5x-36)/x+3 = 4.75

0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)

0.25s^2 - 14.25s + 108 = 0

(14.25 +- Square root (203.06 - 108))/0.5

(14.25 +- Square root (95.0625))/0.5

(14.25 +- 9.75)/0.5

Answer:

s = 9, s=48.

Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.

8 0
3 years ago
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