The right triangle on the right is a scaled copy of the right triangle on the left.
Identify the scale factor. Express your answer as a whole number or fraction
in simplest form
5/3
5
4

Answer:

17.7

Step-by-step explanation:

I'm assuming you meant R(17, -2) to W(-2, 3).  Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5.  Think of these as the legs of a right triangle.  The distance between these points is the length of the hypotenuse of this triangle:  d = √(5^2 + 17^2)

or √314, which, to the nearest tenth is 17.7.

[tex]x = 2.3333[/tex]✅

[tex]3x + 12 = 19 \\ ➡ \: 3x = 19 - 12 \\ ➡ \: 3x = 7 \\ ➡ \: x = \frac{7}{3} \\ ➡ \: x = 2.3333[/tex]

To verify:-

[tex]3x + 12 = 19 \\ ➡ \: 3 \times 2.3333 + 12 = 19 \\ ➡ \: 6.9999 + 12 = 19 \\ ➡ \: 19 = 19 \\ ➡ \: L. H. S. =R. H. S. [/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

62.84

Step-by-step explanation:

52.37 times 1.20(how you calculate tip) =62.84

Answer:

$62.84

Step-by-step explanation:

Tip is $10.47 add that with 52.37

If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.

Answer:

6

Step-by-step explanation:

By intersecting chords theorem:

[tex]14(x - 3) = 12(x - 2) \\ \\ 14x - 42 = 12x - 24 \\ \\ 14x - 12x = 42 - 24 \\ \\ 2x = 18 \\ \\ x = \frac{18}{2} \\ \\ x = 9 \\ \\ LG = x - 3 \\ \\ LG = 9 - 3 \\ \\ LG = 6[/tex]

The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².

The solutions to the equation is x = -9 + √89 or x = -9 - √89.

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 6 = 2 - 18x

x² + 18x = 8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 18x + (18/2)² = 8 + (18/2)²

x² + 18x + 81 = 8 + 81

Part 2.

x² + 18x + 81 = 89

x² + 9x + 9x + 81 = 89

x(x + 9) + 9(x + 9) = 89

(x + 9)(x + 9) = 89

x = -9 + √89 or x = -9 - √89.

Read more on quadratic functions here: brainly.com/question/14201243

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Answer:

15.85

Step-by-step explanation:

P + 3.89 = 19.74

Subtract 3.89 from both sides to isolate the variable.

P = 15.85

Answer:

285 students were in school.

Step-by-step explanation:

5%=0.05

0.05*300=15

300-15=285

There were 285 students in school.

Given that 5% of the 300 students were absent, we can calculate it as follows:

= 5% of 300

= (5/100) x 300

= 0.05 x 300

= 15

Therefore, there were 15 students absent from school.

Now, the In school students

Total students - Absent students = In-school students

300 - 15 = 285

So, there were 285 students in school.

Learn more about Percentage here:

https://brainly.com/question/20887078

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Answer:

I cannot tell you the answer because there isn't adequate information.

But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)

Answer:

Adult ticket: $12

Child ticket: $11

Answer: 36?

Step-by-step explanation:

base times height is area and a square has all equal sides so 6*6

Answer:

[tex]f(0)=2[/tex]

Step-by-step explanation:

Given the function [tex]f(x)=-x+2[/tex], to find [tex]f(0)[/tex], simply substitute [tex]x=0[/tex] into the function.

Solving, we get:

[tex]f(0)=-(0)+2=\boxed{2}[/tex]

Answer: A

Step-by-step explanation: A has the greatest rate of change because it moves 5 spaces up and one right while B moves 3 spaces and C moves 4 spaces.

Answer:

184

Step-by-step explanation:

i did it this on a test a while back

Answer: 125 Pencils per Box

Step-by-step explanation:

This is a fraction equal to

2250 Pencils ÷ 18 Boxes

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 18

2250 Pencils ÷ 18

18 Boxes ÷ 18

=  

125 Pencils

1 Box

=  

125 Pencils

Box

= 125 Pencils per Box

Answer:

y <= 0

Step-by-step explanation:

it's shaded when the value of y is 0 or below 0 (the vertical axis)

Answer:

This may help you

look it once.

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Question 1 :

[tex] \small(a {}^{2} b {}^{2} + 1 + ab - c)(a {}^{2} {b}^{2} + 1 - ab + c)[/tex]

_____________________________

[tex]\small a⁴b⁴ + 1 + a²b² - c² + 2abc[/tex]

[tex]\small( a⁴b⁴+ 1 ) + a²b² - c² + 2abc[/tex]

[tex]\small[ (a²b²)² + 1² ] + a²b² - c² + 2abc [/tex]

[tex]\small(a²b² + 1 + 2a²b² - 2a²b²) + a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - 2a²b² + a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - a²b² - c² + 2abc[/tex]

[tex]\small(a²b² + 1)² - (a²b² + c² - 2abc)[/tex]

[tex]\small(a²b² + 1)² - (ab - c)²[/tex]

[tex]\small(a²b² + 1 + ab - c) (a²b² + 1 - ab + c)[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Anita's monthly bill will be $164.25.

Step-by-step explanation:

Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:

100 + (0.85 x 45) + (0.25 x 105) = X

100 + 38.25 + 26.25 = X

138.25 + 26.25 = X

164.25 = X

Therefore, her monthly bill will be $ 164.25.

Answer:

2 units

Step-by-step explanation:

x= 2×4/4 = 2 units

Answer:

Rotation

Step-by-step explanation:

follow v.sauce.memes on ig

Answer: 49

Step-by-step explanation:

Given

The dimension of the block is [tex]24.5\ in.\times12.5\ in.\times 8\ in.[/tex]

Each vase requires [tex]50\ in.^3[/tex] of clay

The volume of clay block is

[tex]\Rightarrow V=24.5\times 12.5\times 8\\\Rightarrow V=2450\ in.^3[/tex]

Number of vases that can be made

[tex]\Rightarrow n=\dfrac{2450}{50}\\\\\Rightarrow n=49\ \text{Vases}[/tex]

Thus, 49 vases can be made

Answer:

-0.5

Step-by-step explanation:

(3-2)=1

(-4-1)=-5

1÷(-5)= -0.5

9514 1404 393

Answer:

  f = 5(2g -n)/t

Step-by-step explanation:

Answer:

y = -2x - 3

Step-by-step explanation:

Answer:

2.06 rad

Step-by-step explanation:

To change degree measure to radian measure

radians = degrees × [tex]\frac{\pi }{180}[/tex] , then

radians = 118 × [tex]\frac{\pi }{180}[/tex]

            = [tex]\frac{118(\pi )}{180}[/tex] ≈ 2.06 rad ( to the nearest hundredth )

Answer:

2.06 radians to nearest hundredth.

Step-by-step explanation:

Radians = degrees * π/180

= 118 * π/180

= 0.6556π

= 2.0596.

Answer: [tex]-7\ \text{and}\ 5[/tex]

Step-by-step explanation:

Given

The equation is [tex]\left(x+1\right)^2-36=0[/tex]

Solving it

[tex]\Rightarrow \left(x+1\right)^2=36\\\\\Rightarrow \left(x+1\right)=\pm\sqrt{36}\\\\\Rightarrow x+1=\pm6\\\Rightarrow x=-7,5[/tex]

So, the lesser value of [tex]x[/tex] is [tex]-7[/tex] and the greater value is [tex]5[/tex].

Answer:

22.5

Step-by-step explanation:

7 1/4 × 2

=29

29+81/2

=69.5

69.5 - 2

=67.5

67.5÷3

=22.5

Answer:

x equals 50°.

Step-by-step explanation:

The sum of all angles of a triangle is 180°

So, to find the missing angle x, we can use the following equation:-

70° + 60° + x° = 180°

130° + x° = 180°

x° = 180° - 130°

x° = 50°

Answer:

sin 20

Step-by-step explanation:

that is the answer it's sin 20 trust me