How can you use a protractor to prove that AB and DC are perpendicular?

Answer:

x=1/2,x=9

Step-by-step explanation:

[tex]2x^{2} -19+9=0\\\\2x^{2} -18x-x+9=0\\\\2x(x-9)-1(x-9)=0\\\\(2x-1)(x-9)=0[/tex]

2x-1=0......I

x-9=0.......II

Solving I

2x-1=0

2x=1

x=1/2

Solving II

x-9=0

x=9

Answer:

Factors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120

Prime Factors:

2, 3,and 5

Step-by-step explanation:

Factors are: numbers that can be multiplied together to get a certain number

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Answer:

163°

Step-by-step explanation:

Since those 2 arrows are straight lines that go through each other, angles that are opposite are the same. So the opposite of y is 163°.

Answer:

[tex]y = \frac{4}{3}x + 2[/tex]

Step-by-step explanation:

Find the equation for the line in slope-intercept form: [tex]y = mx + b[/tex]

where m is the slope (gradient) and b is the y-intercept.

To find the slope (m)

Choose 2 points on the line:  (0, 2) and (6, 10)

Let (0, 2) = [tex](x_1,y_1)[/tex]

Let (6, 10) = [tex](x_2,y_2)[/tex]

Use the slope formula:  [tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{10-2}{6-0} =\frac{4}{3}[/tex]

Therefore, [tex]y = \frac{4}{3}x + b[/tex]

To find the y-intercept

The y-intercept is when x = 0 (where the line intersects the x-axis).

By inspection, the line intersects the y-axis at y = 2.  

Therefore, y-intercept = 2

So, [tex]y = \frac{4}{3}x + 2[/tex]

Answer:

X=-7

Step-by-step explanation:

X*5-4=3(X*3+8)

5x-4=9x+24

-4=4x+24

-28=4x

-7=x

Answer:

x =5

Step-by-step explanation:

c = 5√2

a = x

b = x

Formula

x^2 + x^2 = c^2                    Combine the x^2

Solution

2x^2 = (5√2)^2                    Expand the right side

2x^2 = 2*25                         Divide both sides by 2

x^2 = 25                               Take the square root of both sides.

x = 5

Answer:

value/total value • 100 = percentage

Step-by-step explanation:

if 5 out 100 kids have red backpacks then 5% of kids have red backpacks

5/100 • 100 = percentage

0.05 • 100 = percentage

5% = percentage

if 13 cars out of 41 have flat tires, then 32% of the cars have flat tires

13/41 • 100 = percentage

0.31707317073... • 100 = 31.707317073... %

depending on your precision, you may include as many decimal places as you like, unless the question specifies it.  For our example, we will round to 2 decimal places.

31.707317073... % = 31.71%

if you're looking to find percentages for probability, you will use the same equation.

the odds of flipping a coin and it landing on heads are 50%

possibilities:

Heads, Tails

there is one outcome where our result occurs out of the two possible outcomes

1/2 • 100 = percentage

0.5 • 100 = percentage

50% = percentage

Hope this helps and wasn't confusing

Answer:

h=10

Step-by-step explanation:

5(2h+8)+60

5 × 2h = 10h

5× 8 = 40

10h + 40 + 60

40 + 60 = 100

10h = 100

100/10h

h=10

The G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.

A function assigns the value of each element of one set to the other specific element of another set.

The given function can be transformed from the initial position of the new position by subtracting the 4 from the initial function.

We know that in the initial function y=4x²+6, y is the output, while x is the input for the function f(x).

As the G(x) is the new function of the f(x) which is translated 4 units down. therefore,

[tex]G(x) = f(x)-4\\\\G(x) = 4x^2+6-4\\\\G(x) =4x^2+2[/tex]

hence, the G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.

Learn more about Function:

https://brainly.com/question/5245372

[tex]\\ \tt\longrightarrow 3=\dfrac{3}{10}=0.3[/tex]

[tex]\\ \tt\longrightarrow 8=\dfrac{8}{10}=0.8[/tex]

[tex]\\ \tt\longrightarrow 15=\dfrac{15}{100}=0.15[/tex]

[tex]\\ \tt\longrightarrow \dfrac{18}{10}=1.8[/tex]

[tex]\\ \tt\longrightarrow 33=\dfrac{33}{100}=0.33[/tex]

[tex]\\ \tt\longrightarrow 49=\dfrac{49}{100}=0.49[/tex]

[tex]\\ \tt\longrightarrow 64=\dfrac{64}{100}=0.64[/tex]

[tex]\\ \tt\longrightarrow 108=\dfrac{108}{100}=1.08=1.1[/tex]

[tex]\\ \tt\longrightarrow 251=\dfrac{251}{1000}=0.251[/tex]

Answer:

x=67 degrees

Step-by-step explanation:

2x + 46 = 180

2x = 134

x = 67

Answer:

1234567890987654321123456789 is the answer

Step-by-step explanation:

and also hey

Answer:

False, the area will be 9 times larger

Step-by-step explanation:

You are adding 3 to each dimension, and that extra 3 becomes 3 x 3 when finding area

Answer:

y = 90

Step-by-step explanation:

Y is a right angle, and if we check, 90 + 90 = 180. The total angle sum of a straight line is 180 degrees.

Answer:

Step-by-step explanation:

Number series : 9, 14, 19, 24

First term = a1 = 9

common difference = a2 - a1 = 14 - 9=5

Find the nth term:

an = a1 + + (n - 1)d

an = 9+ (n - 1)(5)

an = 9+5n - 5

an = 4 + 5n

Find the 10th term:

an = 4 + 5n

a10 = 4 + 5(10)

a10 = 4 + 50

a10 = 54

Find the 50th term:

an = 4 + 5n

a50 = 4 + 5(50)

a50 = 254

Find the difference between the 10th and

50th term:

Difference = 254 - 54 = 200

Answer: The difference is 200

Given the data from the question, the difference between the 10th term and the 50th term is 200

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ = a + (n – 1)d

T₁₀ = 9 + (10 – 1)5

T₁₀ = 9 + (9)5

T₁₀ = 9 + 45

T₁₀ = 54

Tₙ = a + (n – 1)d

T₅₀ = 9 + (50 – 1)5

T₅₀ = 9 + (49)5

T₅₀ = 9 + 245

T₅₀ = 254

Difference = T₅₀ – T₁₀

Difference = 254 – 54

Difference = 200

Learn more about arithmetic sequence:

https://brainly.com/question/16130064

Answer:

16, 10

Step-by-step explanation:

There are 4 quarts in a gallon, so 4 gallons has 16 qt.

There are 2 pints in a quart, so 5 quarts has 10 pt.

Answer:

48

Step-by-step explanation:

42 + 6 = 48 total words

Answer:

74

Step-by-step explanation:

42+6+(50-42)+(60-42)

Answer:

$300.15

Step-by-step explanation:

The price of the golf club is 100% of its price.

The shipping and handling add 15% of the price.

That means he will pay a total of 115% of the price of the golf club.

115 of $261 = 1.15 × $261 = $300.15

Answer: $300.15

Answer:

50x + 4.75 ≤ 200

Step-by-step explanation:

Let x = number of Adele tickets

Cost of 1 Adele ticket = $50

One-time service fee = $4.75

Therefore, 50x + 4.75 ≤ 200

Answer:

670/1000 un simplified, 67/100 simplified

Answer:

A. (-1, -1/2) is the correct answer.

Step-by-step explanation:

you know how to multiply two expressions ?

every term of every expression is multiplied with every term of the other expression and the results are added (while considering any specific signs, if course).

(2x² + 3)(2x² - 3) = 2x²×2x² + -3×2x² + 3×2x² + 3×-3 =

4x² - 6x² + 6x² - 9 = 4x² - 9

and that is exactly the right side of the original equation.

so, it is correct.

Hey there!

• When you hear the word “mean” in mathematics it usually defined as “average”.

• To find it you have to ADD all of the numbers DIVIDE all of the numbers you have in the given data plot.

YOUR EQUATION:

10 + 8 + 5 + 12 + 20 / 5

= 18 + 5 + 12 + 20 / 5

= 23 + 12 + 20 / 5

= 35 + 20 / 5

= 55 / 5

= 11

Therefore, your answer is: 11

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Connect the center with A and C:

Use Pythagorean to find half of AB:

Similarly, find the length of CD:

Length of AB = 16 cm

h² = p² + b²

10² = 6² + b²

100 = 36 + b²

[tex]b = \sqrt{64} [/tex]

[tex]= 8 cm[/tex]

[tex]AB = 8 + 8[/tex]

[tex]= 16 cm[/tex]

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Answer:

mean = 24

Step-by-step explanation:

From inspection, there are 7 values.

The values are 12, 13, 15, 28, 28, 30, 42

To find the mean, sum the numbers: 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Divide by the number of values:  168 ÷ 7 = 24

Therefore, mean = 24

Answer:

3

Step-by-step explanation: 10*3 is equal to 30.

Answer:3

Step-by-step explanation:3 is 10 times as much as 30 which is 3x10=30

Answer:

[tex]A=x^2+23x+49[/tex]

Step-by-step explanation:

Hi there!

The area of the shaded region is equal to the area of the big rectangle minus the area of the square.

Area of the big rectangle:

[tex]A=lw\\A=(x+10)(2x+5)[/tex]

Area of the square:

[tex]A=a^2\\A=(x+1)^2[/tex]

Area of the shaded region:

[tex]A=(x+10)(2x+5)-(x+1)^2[/tex]

Expand:

[tex]A=(x+10)(2x+5)-(x+1)^2\\A=2x^2+5x+20x+50-(x+1)^2\\A=2x^2+5x+20x+50-(x^2+2x+1)\\A=2x^2+5x+20x+50-x^2-2x-1[/tex]

Combine like terms:

[tex]A=2x^2-x^2+5x+20x-2x+50-1\\A=x^2+23x+49[/tex]

I hope this helps!