which is greater ? 4.592 or 4.524

The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).

Thus, option (D) is correct.

1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.

To translate a point (x, y) by (a, b), the new coordinates become

(x + a, y + b).

The coordinates of A' would be:

A' = (-3 + 2, 1 - 3) = (-1, -2)

The coordinates of B' would be:

B' = (2 + 2, -4 - 3) = (4, -7)

The coordinates of C' would be:

C' = (1 + 2, 5 - 3) = (3, 2)

2. Reflection over y = x:

Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.

To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).

The coordinates of A'' would be:

A'' = (-2, -1)

The coordinates of B'' would be:

B'' = (-7, 4)

The coordinates of C'' would be:

C'' = (2, 3)

Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).

Thus, option (D) is correct.

Learn more about Translation here:

https://brainly.com/question/17052587

#SPJ6

Answer:

Step-by-step explanation:

Given

Find

  The length of each light saber, rounded up to the nearest foot.

Solution

The attached scale drawing shows the triangles with the angles and sides filled in.

The angle at the Jedi's hand is 2a = 2(37°) = 74°. If L represents the Jedi's light saber length, then the cosine relation is useful:

  Cos = Adjacent/Hypotenuse

  cos(74°) = (1.4 ft)/L

  L = (1.4 ft)/cos(74°) ≈ 5.08 ft

Rounded up to the nearest foot, the Jedi's light saber is 6 ft long.

__

The angle at Darth's hand is ...

  5c = 5(16°) = 80°

and the length of the opposite side is ...

  b/14 = 63/14 = 4.5 . . . feet

The sine relation is useful here. If L represents Darth's light saber length, then ...

  Sin = Opposite/Hypotenuse

  sin(80°) = (4.5 ft)/L

  L = (4.5 ft)/sin(80°) ≈ 4.57 ft

Rounded up to the nearest foot, Darth's light saber is 5 ft long.

Answer:

may 31st

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

Answer:

uhhh your on your own man

Step-by-step explanation:

Answer:

1. 40

2. 50

3. 90

4. 140

Answer:

P = 10%

Step-by-step explanation:

Of means multiply and is means equals

P * 80 = 8

Divide each side by 80

P = 8/80

P = .1

Change to percent form

P = 10%

Answer:

Hi sorry

Step-by-step explanation:

sorry bhai plzzzzxxxxxxzzzzzzzzzzzzzzzztry ur best

Answer:

Answer:

Step-by-step explanation:

2/3(4x - 1) - 6   ≥   7 - (2x + 9)

remove parenthesis:

2/3*4x - 2/3*1 - 6   ≥   7 - 2x + 9

simplify:

8x/3 - 2/3 - 6         ≥   2x - 2  

combine similar terms:

8x/3  +  2x             ≥  -2 + 2/3 + 6  

simplify      14/3x   ≥   14/3

finally                  x = 1   is true

Answer:

Step-by-step explanation:

5x+2-2x+2=3x+4

5x-2x+2+2=3x+4

3x+4=3x+4

equation is satisfied so every value of x will produce the same results on both sides of the equation

Answer:

VVV

Step-by-step explanation:

The difference in x coordinates is 11, and the difference in y coordinates is 9. 11*11 + 9*9=202, so the answer is [tex]\sqrt{202}[/tex].

Answer:

I hope this helps!

Answer:

1: x = -2.75

2: No Solutions

3: x = 3

4: Infinite Solutions

5: x = 8

6: No Solutions

7: Infinite Solutions

8: No Solutions

9: x = -1

10: No Solutions

11: Infinite Solutions

Step-by-step explanation:

1)

[tex]-3-3= -4(2x+7)\\-6= -8x-28\\22= -8x\\x= -2.75[/tex]

2)

[tex]8x+3=8x+27\\0x+3=27\\0x=24\\x = No Solutions[/tex]

3)

[tex]8x+3=8x+27\\2x-8=7-3x\\5x-8=7\\5x=15\\x=3[/tex]

4)

[tex]6(x-6)+4= -32+6x\\6x-32= -32+6x\\0=0\\x = Infinite Solutions[/tex]

5)

[tex]-2x-40=8(1-x)\\-2x-40=8-8x\\6x-40=8\\6x=48\\x=8[/tex]

6)

[tex]-9-8x=-2(7+4x)\\-9-8x=-14-8x\\-8x=-5-28x\\x= No Solutions[/tex]

7)

[tex]2x+8=2(x+4)\\2x+8=2x+8\\0=0\\x = Infinite Solutions[/tex]

8)

[tex]x-20=5(7x-4)\\x-20=35x-20\\-34x=0\\x = No Solutions[/tex]

9)

[tex]-4(8+7x)=-10-6x\\-32-28x=-10-6x\\-22x=22\\x = -1[/tex]

10)

[tex]28+8x = 8(x+3) +2\\28+8x=8x+26\\0=-2\\x = No Solutions[/tex]

11)

[tex]-35-7x=-7(x+5)\\-35-7x=-7x-35\\0=0\\x = Infinite Solutions[/tex]

Answer:

3/0

Step-by-step explanation:

to find the slope use rise over run or y-y/x-x, in this case, 2-(-1)/-6-(-6)the negative and the subtraction sign cancel out resulting in something like this: 2+1/-6+6 equaling 3/0

I hope this helps have a nice day

the answer is d

the equation you need to solve is:

5x + x-12 = 90

         +12    +12

6x=102

now, divide by 6 and you get x= 17

17-12 = 5

17 x 5 = 85

hope this helps!!

Answer:

$4.73 for the flour and $0.41 for the baking soda $5.14 together

Step-by-step explanation:

Answer: .....

Step-by-step explanation:

Answer:

4A/ (πa)  = b

Step-by-step explanation:

A = πab/4

Multiply each side by 4

4A = 4πab/4

4A = πab

Divide each side by πa

4A/(πa)  = πab/ πa

4A/ (πa)  = b

Answer:

x ≥ 3

Step-by-step explanation:

The closed dot represents ≥ and ≤

The dot is located on the number "3"

The closed dot essentially shows that the solution is nothing more than 3 and up.

Let "x" be the variable we use.

x ≥ 3

Best of Luck!

The above never line shows the possible values of an variable in any expression.

Through Observation:

Hence, the required value of the variable can be equal to 3 or greater than 3 for that expression. This can be written as:

[tex] \large{ \boxed{ \rm{ x\geqslant 3}}}[/tex]

Carry On learning !

Answer:

removable

Step-by-step explanation:

f(x) = cos(1/x^2) at x = 0;

For the function f(x) = cos(1/x^2) let's substitute the value of 0 in for x...

= cos(1/(0)^2)

= cos(1/0)

Now remember that x/0 is undefined. Removable discontinuity is undefined at the point x₀, and hence our solution is "removable."

Answer:

See below

Step-by-step explanation:

Answer:

Conversion: a change in the form of a measurement, different units, without a change in the size or amount.

for a further explanation please give us more information about the question

Answer:

168 divided by 0.20 is 840 Equalling the mileage.

Answer:

145 miles

Step-by-step explanation:

168 = .20m + 139

-139             - 139

29 = .2m

/.2     /.2

145 = m

Answer:

Section A = 2,200 seats

Section B = 800 seats

Section C = 300 seats

Step-by-step explanation:

Three sections

Section A cost = $60

Section B cost = $70

Section C cost = $120

Total seat = 3300

Total earnings = $224,000

He wants to have twice as many $60 tickets as the sum of the other​ tickets

A = 2(B + C)

A + B + C = 3,300

60A + 70B + 120C = 224,000

substitute A = 2(B + C)

2(B + C) + B + C = 3,300

60(2B + 2C) + 70B + 120C = 224,000

2B + 2C + B + C = 3,300

120B + 120C + 70B + 120C = 224,000

3B + 3C = 3,300 (1)

190B + 240C = 224,000 (2)

Multiply (1) by 80

240B + 240C = 264,000 (3)

190B + 240C = 224,000 (2)

Subtract the equations

240B - 190B = 264,000 - 224,000

50B = 40,000

B = 40,000 / 50

= 800

B = 800

Substitute the value of B into (1)

3B + 3C = 3,300 (1)

3(800) + 3C = 3,300

2,400 + 3C = 3,300

3C = 3,300 - 2,400

3C = 900

C = 900 / 3

= 300

C = 300

Substitute values of B and C into

A + B + C = 3,300

A + 800 + 300 = 3,300

A + 1,100 = 3,300

A = 3,300 - 1,100

= 2,200

A = 2,200

Section A = 2,200 seats

Section B = 800 seats

Section C = 300 seats

Finding slope: y2-y1/x2-x1

3-9/1+2

=-6/2

Divide 2 from both

=-3/1 or -3

Slope= -3

Finding y-intercept= y=mx+b

Choose any point on the line to plug in the x and the y then plug in the slope.

I choose (1,3)

3=-3×1+b

3=-3+b

Add 3 to both sides

6=b

Y-intercept=6

Equation: y=-3x+6

Answer:

[tex] d = 24g [/tex]

Step-by-step explanation:

The graph shows a proportional relationship between distance travelled in miles and the gallons of gas used. Thus, a simple equation can be written to represent this relationship by simply applying the the equation that describes a proportional relationship.

Equation representing a typical proportional relationship is y = kx, where k is the constant of proportionality.

In this case,

y = distance in miles travelled represented by d

x = gallons of gas used represented by g

k = constant of proportionality which is distance travelled per gallon = [tex] \frac{d}{g} = \frac{120}{5} = 24 [/tex]. (note: to get k, you can use any coordinate pair of a point in the line graph).

Therefore, an equation that can be used to find the distance travelled is:

[tex] d = 24g [/tex]

Answer:

Step-by-step explanation:

Answer:

x equals 3

Step-by-step explanation:

hope this helps

Answer:

  the marked answer is correct

Step-by-step explanation:

The desired end result is an identity matrix in the first three columns. The diagonal values are 1, as needed, so what remains is to eliminate the off-diagonal values. In row 2 that can be done by adding row 3 to it.

The next step should be to add rows 2 and 3 and replace row 2 with that sum.

Answer:

interior opposite angles

Step-by-step explanation:

they are inside of the shape but on opposite sides (and i did this freshman year)

Answer:

alternate interior angles

Step-by-step explanation:

∠ 3 and ∠ 5 are alternate interior angles.

These angles are on the opposite ( alternate ) sides of the transversal and are in between ( in the interior ) of the parallel lines.

Answer:

3-y=x

Step-by-step explanation:

Answer:

I think it's 696,000

Explanation:

I can't be sure but is this a troll question... if so that great. :D

Please mark brainliest UwU