The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form. ​

Step-by-step explanation:

270°/360° ×π×13²

Area of sector=398.20

From the information given, it is correct to state that M = - 3; while c = 26. This problem relates to a Rhombus. See the definition of a Rhombus below.

A Rhombus is a 2-dimensional quadrilateral whose sides have equal length.

It is given that ABCD is a Rhombus. This means that

Hence, the slope of AC = -3.

This is arrived at as follows:

Given that the diagonals of Rhombus' are perpendicular, hence

I/3 x m = -1 ⇒ -3

⇒ Line y-11 = -3 (x-5)

⇒ Line AC thus ⇒ y = -3x + 26

Recall that the coordinates are (5, 11). Thus let y = -3x + b

Hence, -3 x 5 + b = 11
b = 11 + 15

b = 26.

Therefore the equation is given as:

y = -3X + 26 were:

m = -3; and

c = 26

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

a+(-5)=-9

What is a equal to?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, a+(-5)=-9 can be written as follows:-

⇒a-5=-9

Now, add 5 to both sides:-

⇒a=-9+5

And finally,

⇒a=-4

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Answer:

a = -4

Step-by-step explanation:

We have to,

Find the required value of a,

→ a + (-5) = -9

→ a - 5 = -9

→ a = -9 + 5

→ [ a = -4 ]

Hence, the value of a is -4.

Answer:

2x² + 6x + 8

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 6x + 8 + 2x²

= 2x² + 6x + 8

Answer:

D)    [tex]d=\sqrt{(6-9)^2+(3-(-2))^2}[/tex]

Step-by-step explanation:

Distance between two points formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given:

(x₂, y₂) = (6, 3)

(x₁, y₁) = (9, -2)

[tex]\implies d=\sqrt{(6-9)^2+(3-(-2))^2}[/tex]

Answer:

[tex]\large \textsf{d = $\sqrt{(6-9)^2+(3-(-2))^2}$}[/tex]

Step-by-step explanation:

Distance formula: [tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}[/tex]

Distance between the points (9, -2) and (6, 3):

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf{d = $\sqrt{(6-9)^2+(3-(-2))^2}$}\\\\\large \textsf{d = $\sqrt{(6-9)^2+(3+2)^2}$}\\\\[/tex]

Hope this helps!

Answer:

84.8

Step-by-step explanation:

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \cdot 3.14 \cdot 9^2\\\\& = \dfrac{1}{3} \cdot 3.14 \cdot 81\\\\& = 84.78\\\\ & = 84.8\: \sf (nearest\:tenth)\end{aligned}[/tex]

Answer:

A ≈ 84.8 units²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{120}{360}[/tex]

   = π × 9² × [tex]\frac{1}{3}[/tex]

  = 81π × [tex]\frac{1}{3}[/tex]

  = 27π

 = 27 × 3.14

 ≈  84.8 units² ( to the nearest tenth )

Answer:

Step-by-step explanation:

Formula Development

Let the width = w

Let the Length = 5*w

P = 72

P =2w + 2L

Area = 5w * w

Solution

Start with the Perimeter. Solve for w.

P = 2w + 2L                  Substitute the givens

72 = 2w + 2*5w            Combine

72 = 2w + 10w              Combine   Combine again

72 = 12 w                       Divide by 12

72/12 = 12w/12

w = 6

Now for the area

Area = 5w * w

w = 6

Area = 5*6*6

Answer: Area = 180 cm^2

Answer:

1.6 hours

Step-by-step explanation:

h = hours

rate * time = distance

time = distance / rate

h = 92.8 / 58

h = 1.6 hours

1.6 hours = 1 hour 36 minutes

Answer:

Answer:

18

Step-by-step explanation:

[tex]0.25*75 = 18\\[/tex] (must round down for population)

Answer:

24t

Step-by-step explanation:

Multiply 8 by 3t
Since 8 is outside of the bracket, while 3t is inside the bracket
8 * 3t
= 24t

Answer:

4 twenty dollar bills = 20 x 4

                                = 120

Thus, the answer is 120 dollars.

Step-by-step explanation:

Answer:

Step-by-step explanation:

we know that If two angles are complementary, then their sum is equal to 90 degrees

Letx -----> the measure of an angle

 y-----> the measure of he other angle

we know thatx+y=90 -----> y=90

-x -----> equation

Ax=y+54 ----> equation

Bsubstitute equation B in equation A and solve for yy=90-(y+54)

y=90-y-542y=36y=18°

Find the value of xx=y+54 -----> x=18+54=72°

thereforeThe measure of the angles are 72 degrees and 18 degrees

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           An angle measures 54º more than the measure of its supplementary angle. What is the measure of each angle?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Angle Measurements:- 63º and 117º

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                        Supplementary angles add up to 180º.

Now, let the unknown angle be n.

Set up an equation:-

[tex]\bigstar[/tex] [tex]\textsf{n+n+54=180}[/tex] (remember, supplementary angles add up to 180)

Add the n's :

[tex]\textsf{2n+54=180}[/tex]

Subtract 54 on both sides:

[tex]\textsf{2n=126}[/tex]

Divide by 2 on both sides:

[tex]\textsf{n=63\textdegree}[/tex]

Now, add 54 to find the other angle:

63+54=117

Check:-

We can easily check our work by adding the two angles together and seeing whether or not we end up with 180º.

[tex]\textsf{63+117=180}[/tex]

[tex]\textsf{180=180}\LARGE\checkmark[/tex]

LHS=RHS (Left-Hand Side = Right-Hand Side)

Hence, the angles are 63 and 117.  [tex]\checkmark[/tex]

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Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

The unit price is the amount of money required to buy one unit of a item or goods.

To find the unit price, divide the total cost of the goods to the total number of goods.

The cost of repair will now be $60. Thus, the total cost of 50 earrings is,

[tex]C=60\times50\\C=3000[/tex]

Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. Thus, the new selling price of her earring is,

[tex]P=60+5\\P=65[/tex]

The sale's price of 50 earrings is,

[tex]P=50\times65\\P=3250[/tex]

She has also improved the quality control so that only 1 pair in 50 need to be returned for repair. Thus, the cost price of one earring has to be removed from the sales price of 50 earrings as,

[tex]P=3250-60\\P=3190[/tex]

The profit made by her company on 50 earrings is

[tex]p=P-C\\p=3190-3000\\p=190[/tex]

Thus, Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

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Answer:

0.267

Step-by-step explanation:

:)

Answer:

yeah how can i help help you

Answer:

The equation the repair service use to charge customers is c = 30h + 40

Step-by-step explanation:

If h = 1

Cost, c = 30h + 40

= 30(1) + 40

= $70

h = 2

c = 30(2) + 40

= $100

h = 3

c = 30(3)+ 40

= $130

h = 4

c = 30(4) + 40

= $160

h = 5

c = 30(5) + 40

= $190

h = 6

c = 30(6) + 40

= $220

Answer:

[tex]\frac{1}{3}[/tex](9) = 3

[tex]\frac{1}{4}[/tex](16) = 4

[tex]\frac{2}{5}[/tex](25) = 10

[tex]\frac{3}{5}[/tex](25) = 15

[tex]\frac{1}{5}[/tex] x = 10    x=50

[tex]\frac{1}{4}[/tex]x= 10      x=40

Answer:75.8

Step-by-step explanation:

if the hundredth place to the right of the desimel is more than or 5 then the number to the right of the 5 is going to increase its value by 1

Answer:x^2−8x+14

Step-by-step explanation:

Convert to required form: x^2−8x+14Answer: x^2−8x+14

Answer:

11.1 units

Step-by-step explanation:

In a right triangle    sin (angle ) = opposite side / hpotenuse

 for this one

  sin 38 = EF/18  

then    18 sin 38 = EF     then calculator shows   EF = 11.1

Answer:

Less than

Step-by-step explanation:

4 and 1/4 is basically equal to 4 and 2/8

Answer: less becuase 4 1/4 x 4=17 and 4 1/8 x 4=16.5

Step-by-step explanation:

Answer:

269.12

Step-by-step explanation:

The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the area of the planned school garden as:

A = g² + 14g + 40

A = g² + 10g + 4g + 40 = g(g + 10) + 4(g + 10)

A = (g + 4)(g + 10)

The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.

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Answer: C 75

Step-by-step explanation: time to distance is ratio 4:5 = 60:X

In 1min He walks 5/4

in 60mins He walks 5/4 ×60

Step-by-step explanation:

The goal is to isolate that given variable. The process is the same process that you use to solve linear equations; the only difference is that you will be working with a lot more letters, you also prob will not be able to simplfy as much as linear equations

Answer:

it is more than one step so it takes longer to solve

Step-by-step explanation:

the process of isolating a variable in these literal equations is similar to solving a one-step equation because after isolating a variable you solve the rest of the equation,it is different from solving a one-step equation because it is more than one step so it takes longer to solve

The value of x in the following diagram in which the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8, is 3.5 units.

The line which is drawn from the center of the circle perpendicular to  the chord in the circle bisect the chord into two equal shape.

In the given, diagram the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8.

These both the lines are equal in length as both are drawn from the center of the circle and has a perpendicular bisector for the 15 units length chord in the circle. Thus,

[tex]3x+1=x+8\\3x-x=8-1\\2x=7\\x=\dfrac{7}{2}\\x=3.5[/tex]

Thus, the value of x in the following diagram in which the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8, is 3.5 units.

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