the tennis team is selling tickets to a car wash for $6.when they do not sell very many tickets ,the team decreaces the price 25%.what is the new cost of a ticket .

The midpoint of a line divides the line into equal segments.

The option that proves PQ = LO is (a)

The given parameters are:

[tex]\mathbf{L = (0,0)}[/tex]

[tex]\mathbf{M = (3,0)}[/tex]

[tex]\mathbf{N = (3,7)}[/tex]

[tex]\mathbf{O = (0,7)}[/tex]

P is the midpoint of LM.

So, we have:

[tex]\mathbf{P = \frac{LM}{2}}[/tex]

[tex]\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}[/tex]

[tex]\mathbf{P = (\frac{3}{2},0)}[/tex]

Q is the midpoint of NO.

So, we have:

[tex]\mathbf{Q = \frac{NO}{2}}[/tex]

[tex]\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}[/tex]

[tex]\mathbf{Q = (\frac{3}{2},7)}[/tex]

Distance PQ is calculated as follows:

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

This gives:

[tex]\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{PQ = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{PQ = 7}[/tex]

Distance LO is calculated as follows:

[tex]\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{LO = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{LO=7}[/tex]

So, we have:

[tex]\mathbf{PQ = 7}[/tex]

[tex]\mathbf{LO=7}[/tex]

Thus:

[tex]\mathbf{PQ = LO}[/tex]

Hence, the correct option is (a)

Read more about distance and midpoints at:

https://brainly.com/question/11231122

Step-by-step explanation:

it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :

c² = a² + b²

where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.

so, we have

20² = a² + 12²

400 = a² + 144

a² = 256

a = 16

FYI - we could have picked the right answer also by eliminating the wrong given answer options.

as this is a right-angled triangle :

a cannot be longer than the baseline (20).

that eliminates already the first 2 options.

and then look at the picture : a cannot be shorter than b (the other side line (12)).

that eliminates the third option.

Answer:

y = -2x + 4

Step-by-step explanation:

Slope: (4-2)/5-1) = 2/4 = 1/2

Slope of the perpendicular line: -2

y-intercept: 2 - (-2)(1) = 4

Answer:

100000 $

Step-by-step explanation:

Multiply:

1000*10

100000 $

Answer:

x=6

Step-by-step explanation:

2x+5=17            

-5       -5    

2x=17-5

2x=12

x=6    

Answer:

2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D

Answer: a

Step-by-step explanation:

Answer:

slope = y^2 - y^1 / x^2 - x^1 = 4

your slope would be 4

Step-by-step explanation:

Answer:

Umm Where's The Answer?

Answer:

0.9

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

Equation: x +28 =90

x = 59°

Measure of one angle = 59°

Measure of another angle = 31°

Equation to calculate the measurement: x + x - 28 = 90Given,

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

Given,

Sum of two angles = 90°

One angle is 28° larger than other

Let the measurement of one angle is x

then other angle = x - 28°

But,

x +  x - 28° = 90°

2x - 28° = 90°

2x = 90° + 28°

x = 118°/2

x = 59°

one angle = 59°

other angle = 59° - 28° = 31°

Hence, 59° is measure of one angle

and 31° is measure of other angle.

x + x - 28 = 90 is the Equation to calculate the measurement.

Learn more about angle here:

https://brainly.com/question/28451077

#SPJ2

Answer:

Similar AA

Step-by-step explanation:

By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.

Answer:

C. similar AA

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Answer:

Slope = 2

Step-by-step explanation:

(x₁ , y₁) = ( 1 , 1)   & (x₂,y₂) = (-1,-3)

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2[/tex]

Answer:

-4w+32

Step-by-step explanation:

distribute the 4 to everything in the ( )

Answer:

Parallel

Step-by-step explanation:

y=5x+10

y=5x-15

Answer:

IM PEPPA PIG

Step-by-step explanation:

UGHHHHHH 3333333

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Converting to Slope-Intercept Form:}\\5x + 3y = 30\\\rule{150}{0.5}\\\rightarrow 5x - 5x + 3y = 30 - 5x\\\\\rightarrow 3y = 30-5x\\\\\rightarrow\frac{3y=30-5x}{3}\\\\\rightarrow y = 10 -\frac{5}{3}x\\\\\rightarrow \boxed{y = -\frac{5}{3}x + 10}[/tex]

⸻⸻⸻⸻

[tex]\text{General Slope-Intercept Formula:}\\y = mx + b\\\rule{150}{0.5}\\$\bullet \text{ }m -\text{Slope}\\$\bullet \text{ }b -\text{Y-Intercept}\\\rule{150}{0.5}\\\text{In the given equation, the slope would be } -\frac{5}{3} \text{ and the y-intercept would be } 10.[/tex]

⸻⸻⸻⸻

[tex]y = \underline{-\frac{5}{3}}x + \boxed{10}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: [tex]196m^2[/tex]

Step-by-step explanation:

since it's a cube the floor is in square shape

Answer:

SINCE ITS A CUBE OF FLOOR SHAPE.

=4

=169m²Ans.

Answer: 0.00034

Step-by-step explanation: 10^-4 would move the decimal left four times.

Answer:

reciprocal of 4= 1/4

reciprocal of 1/3=3

reciprocal of -1/7 = -7

reciprocal of -4/5=-5/4

Step-by-step explanation:

it's explained

Answer:

What's the question?

Answer:

30° angle it might be same

Answer:

-1

Step-by-step explanation:

Step-by-step explanation:

Given by your question

2(3x-1)≥4x-6

Distributive property to take off the parentheses

2×3x-2×1≥4x-6

6x-2≥4x-6

Subtract 4x on both sides (Subtractive property of equality)

6x-2-4x≥4x-6-4x

2x-2≥-6

Add 2 on both sides (Addition property of equality)

2x-2+2≥-6+2

2x≥-4

Divide 2 on both sides (Division property of equality)

2/2 x≥-4/2

x≥-2

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Looking at the options you've provided.

-10 INCORRECT, it is not greater or equal to -2

-5 INCORRECT, it is not greater or equal to -2

-3 INCORRECT, it is not greater or equal to -2

-1 CORRECT, it is greater than -2

Answer:

2(3x -1) = 4x - 6

6x - 2 = 4x - 6

6x -2+2 = 4x -6 + 2

6x - 4x = 4x - 4x -6 + 2

6x - 4x = -6 + 2

2x = -4

2 2

x = -2

Answer: g=100

Step-by-step explanation:

Answer:

g = 105

Step-by-step explanation:

G = 105 because the angle across from 105 on the left is also 105 (opposite angles), and g is a corresponding angle to the angle across from the 105 that is given.

Answer:

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Answer:

Los datos son piezas individuales de información fáctica registradas y utilizadas con fines de análisis. Es la información en bruto a partir de la cual se crean las estadísticas. Las estadísticas son el resultado del análisis de datos: su interpretación y presentación. ... A menudo, estos tipos de estadísticas se denominan "datos estadísticos".

Step-by-step explanation:

Answer:

Un dato estadístico es cada uno de los valores que se ha obtenido al realizar un estudio estadístico

Step-by-step explanation:

Answer:

68.46

Step-by-step explanation:

In order to find the angle, we can use the cosine rule:

c²=a²+b²-2abCos(c)

And rearrange for Cos(c)

(please note that c in this case is x)

So,

x=Cos^(-1) (a²+b²-c²)/2ab

By substituting the values, we get x=Cos^(-1)(4²+4²-4.5^2)/2(4)(4)

=68.46

Answer:

Let's solve your equation step-by-step.

(3x−2)(x+6)−(x−1)(2x)=103

Step 1: Simplify both sides of the equation.

x2+18x−12=103

Step 2: Subtract 103 from both sides.

x2+18x−12−103=103−103

x2+18x−115=0

Step 3: Factor left side of equation.

(x−5)(x+23)=0

Step 4: Set factors equal to 0.

x−5=0 or x+23=0

x=5 or x=−23

Answer:

x=5 or x=−23

Answer:

[tex]\frac{b}{19}[/tex]

Step-by-step explanation:

If you cross-multiply in the first proportion you get 19a = 5b

To keep this, if we have a/5, we need b/19 to cross-multiply and still get 19a = 5b

Answer:

y = 2x - 19

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = (x , y) = 1

m = slope = 2

x = (x , y) = 10

b = y-intercept

Plug in the corresponding numbers to the corresponding variables:

1 = 2(10) + b

First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.

First, multiply 2 with 10:

1 = (2 * 10) + b

1 = 20 + b

Next, subtract 20 from both sides of the equation:

1 = b + 20

1 (-20) = b + 20 (-20)

1 - 20 = b

b = -19

Plug in 2 for m, and -19 for b.

y = 2x - 19 is your slope-intercept form.

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