The measure of an angle is 6° less than the measure of its complement.

(x,y) → (-x,y - 9) is the correct transformation for the given graph so option (A) will be correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Given the quadrilateral QRST not if we look at Q'R'S'T' it is 9 units downward so it means there will be 9 units decrement in y units.

So y → y - 9

Now,

Q'R'S'T' is as far from the x-axis as QRST but on the negative x-axis.

So,

x → -x

Hence "(x,y) → (-x,y - 9) is the correct transformation for the given graph".

To learn more about the transformation of graphs,

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Answer:

6x-18

x=-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify:

Answer:

x=5

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

Answer:

x=115/2

Step-by-step explanation:

Answer:

x = 57.5

Step-by-step explanation:

Step 1: Write equation

2x + 65 = 180

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2(115/2) + 65 = 180

115 + 65 = 180

180 = 180

Answer:

0.25m³

Step-by-step explanation:

If Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm³ for every m², to know how much she is applying in m³ for every m², we will make use of the conversion formula:

100cm = 1m

1cm = 1/100m

1cm = 0.01m

250,000cm³ = 250,000 × 1cm×1cm×1cm

250,000cm³ = 250,000×0.01×0.01×0.01

= 250,000×0.000001

= 0.25m³

Hence Riya is applying at 0.25m³ per m²

Answer:

0.25m³ / m²

Step-by-step explanation:

Given that:

Rate of application = 250,000 cm³ of mulch per m²

The rate of application in m³ per m² can be calculated thus :

Converting 250,000 cm³ to m³

1cm = 1/100 = 0.01m = 1 * 10^-2 m

Hence

1cm³ = (1 * 10^-2 m)³ = 1 × 10^-6 m³

Hence,

250,000cm³ = (250,000 * 10^-6)m³ = 0.25m³

Hence, rate of application in m³ / m² equals

0.25m³ / m²

Answer:

P = 2( l + b )

=>130 = 2 (l + 30)

=>130 = 2l + 2*60

=> 130 = 2l + 60

=> 130 - 60 = 2l

=> 70 = 2l

=> 70/2 = l

=> 35 = l

Length = 35cm

Area = l * b

=> A = 35 * 30

=> A = 1050

Therefore area = 1050[tex]cm^{2}[/tex]

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Answer:

l=35 and A=1050

Step-by-step explanation:

the formula of rectangle to calculation perimeter is p=2(l+b)

130/2=l+b

l=35 and

A=l*b

a= 35*30=1050

Answer: x=15/19 =0.789

Step-by-step explanation:  -12*x+1-(7*x-14)=0

  -19x+15 = 0  

Subtract  15  from both sides of the equation :  

                     -19x = -15

Multiply both sides of the equation by (-1) :  19x = 15

Divide both sides of the equation by 19:

                    x = 15/19 = 0.789

x = 15/19 = 0.789

Answer:

A. 12in

Step-by-step explanation:

Given parameters:

    Area of trapezoid  = 78in²

     Base lengths = 5in and 8in

Unknown:

Height of the trapezoid = ?

Solution:

         A  = [tex]\frac{1}{2}[/tex] (b₁ + b₂)h

  b₁ and b₂ are 5in and 8in respectively.

 Input the parameters and solve for h;

          78 = [tex]\frac{1}{2}[/tex] (5 + 8)h

         Multiply both sides by 2;

         156  = 13h

           h = 12in

The height of the trapezoid is 12in

Answer:

Eric earnings equals $7

Step-by-step explanation:

Let amount earned by Robert = $10

Amount earned by Eric = $x

Robert earnings = 2x - 4

2x - 4 = 10

2x = 10 + 4

2x = 14

Divide both sides by 2

x = 14 / 2

= 7

x = 7

Eric earns $x which is equal to $7

Eric earnings equals $7

Answer:

a

Step-by-step explanation:

it would be 0

Answer:

The correct answer would be 0 because there is no rate of change represente in the table.

Step-by-step explanation:

Hope this helps!

Have a good day! :)

Answer: 6

Step 1: Subtract 6 to get to 0.

-6 - 6 = 0.

Step 2: Add 6.

0 + 6 = 6.

Answer = 6

Answer:

sponge b00b

Step-by-step explanation:

Given:

The expression is [tex]\dfrac{7}{\frac{5}{8}}[/tex].

To find:

The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.

Solution:

According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

We have,

[tex]\dfrac{7}{\frac{5}{8}}[/tex]

It can be written as

[tex]\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}[/tex]

Using the rule "multiply by the reciprocal", we get

[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}[/tex]

[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}[/tex]

[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}[/tex]

Therefore, the correct option is D.

Answer:

The numerical length of MO is 20 units

Step-by-step explanation:

Let us solve the question

∵ Point N is on line segment MO

→ That means point N divides segment MO into two parts MN and NO

∴ MO = MN + NO

∵ MO = 2x + 5

∵ MN = 2x + 3

∵ NO = 2x - 3

→ Substitute them in the equation above

∴ 3x + 5 = (2x + 3) + (2x - 3)

→ Add the like terms in the right side

∵ 3x + 5 = (2x + 2x) + (3 - 3)

∴ 3x + 5 = 4x + 0

∴ 3x + 5 = 4x

→ Subtract 3x from both sides

∵ 3x - 3x + 5 = 4x - 3x

∴ 5 = x

∴ The value of x is 5

→ To find MO substitute x by 5 in its expression

∵ MO = 3x + 5

∴ MO = 3(5) + 5

∴ MO = 15 + 5

∴ MO = 20 units

The numerical length of MO is 20 units

Answer: x=40

Step-by-step explanation:Let's solve your equation step-by-step.

6+0.5x=26

Step 1: Simplify both sides of the equation.

0.5x+6=26

Step 2: Subtract 6 from both sides.

0.5x+6−6=26−6

0.5x=20

Step 3: Divide both sides by 0.5.

0.5x

0.5

=

20

0.5

x=40

Answer:

x=40

Answer:

7.92

Step-by-step explanation:

Given

c² + 0.1c - 24 ← substitute c = - 5.7 into the expression

= (- 5.7)² + 0.1(- 5.7) - 24

= 32.49 - 0.57 - 24

= 31.92 - 24

= 7.92

Answer:

LCM is 30.

Step-by-step explanation:

She forgot that they both can multiply into 30. She listed all their multiples and their LCM is 30. Not 60. That's her error.

Hope this helps and have a nice day!

Step-by-step explanation:

I hope this is the answer

Answer:216

Step-by-step explanation:3x9x8

Answer:

12

Step-by-step explanation:

150 ÷ 20 = 7.5 minutes per 1 mile

7.5 x 6 = 45 minutes

7.5 + 7.5 = 15 minutes or 2 miles in 15

60 ÷ 7.5 = 8 mph

mpm = 7.5

90 ÷ 5 = $18 per hour

18 x 8 = $144

18 x 3 = 54 (close to $60)

Step-by-step explanation:

hope this helps

Answer: (a) Sarah     (b) 45 minutes     (c) 2 miles     (d) 8 miles per hour  

              (e) 7.5 minutes per mile          (f)  $144         (g) 3 1/3 hours

Step-by-step explanation:

[tex]\text{Joey:}\quad \dfrac{\$11}{3\ hours}\\\\\\\text{Sarah:}\quad \dfrac{\$2}{\frac{1}{2}\ hour}\times \dfrac{6}{6}=\dfrac{\$12}{3\ hours}[/tex]

When comparing the same number of hours, Sarah earns $12, Joey earns $11.

***************************************************************************************************

                            [tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{6\ miles}{x}[/tex]

Cross Multiply:     20(x) = 150(6)

Divide by 20:             x = 900/20

Simplify:                     x = 45 minutes

***************************************************************************************************

                             [tex]\dfrac{20\ miles}{150\ minutes}=\dfrac{x}{15\ minutes}[/tex]

Cross Multiply:      20(15) = 150(x)

Divide by 150:       300/150 = x

Simplify:                 2 miles = x

***************************************************************************************************

Use conversion: 60 minutes = 1 hour

[tex]\dfrac{20\ miles}{150\ minutes}\times \dfrac{60\ minutes}{1\ hour}=\quad \dfrac{1200\ miles}{150\ hour}\quad =\large\boxed{\dfrac{8\ miles}{1\ hour}}[/tex]

***************************************************************************************************

[tex]\dfrac{150\ minutes}{20\ miles}\div \dfrac{20}{20}=\quad \large\boxed{\dfrac{7.5\ minutes}{1\ mile}}[/tex]

***************************************************************************************************

                           [tex]\dfrac{\$90}{5\ hours}=\dfrac{x}{8\ hours}[/tex]

Cross Multiply:     5(x) = 90(8)

Divide by 5:             x = 720/5

Simplify:                   x = $144

***************************************************************************************************

                            [tex]\dfrac{\$90}{5\ hours}=\dfrac{\$60}{x}[/tex]

Cross Multiply:     5(60) = 90(x)

Divide by 90:        300/90 = x

Simplify:               3 1/3 hours = x

Answer:

x=12/7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

x=12/7 or x=1.714

Answer: 31 push-ups per day

Step-by-step explanation: 93/3 = 31 because 90/3=30 and 3/3 = 1 so 30 + 1 = 31.

Hope this helps!

Answer:

It is 47

Step-by-step explanation:

7+5 is 12, 12 plus 35 equaks 47

Answer:

12 months.

2 x 6 = 12

2+1= 43 2 months

2+1= 44 4 months

2+1= 45 6 months

2+1= 46 8 months

2+1= 47 10 months

2+1= 48 12 months

Answer:

-1 + 2 = 1

1 + (-2) = -1

-1 - 2 = -3

1 - (-2) = 3

Step-by-step explanation

When you subtract use keep change change

Rule 1 when you add : If the signs are the same add the numbers and take the sign of the bigger number.

Rule 2 when you add : If the signs are different subtract the numbers and take the sign of the bigger number.

I wanted to help you understand and i hope i did that!