2 lines intersect. A line with points A, B, D intersects a line with points E, B, C at point B, forming 4 angles.
In the diagram, which angles are vertical angles? Select two options.

Step-by-step explanation:

[tex] = ( \frac{3}{5} {)}^{2} [/tex]

[tex] = \frac{ {3}^{2} = 3 × 3 }{ {5}^{2} = 5 × 5 } \\ [/tex]

[tex] = \frac{9}{25} \\ [/tex]

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Answer:

[tex] \frac{9}{25} [/tex]

Step-by-step explanation:

[tex] { ( \frac{3}{5} )}^{2} \\ = ( \frac{ {3}^{2} }{ {5}^{2} } ) \\ = \frac{9}{25} [/tex]

Disclaimer: The conversion graph is missing in the question.

60 gallons is equal to 227.125 litres.

Refer to the attached image for the conversion of litres to gallons.

And gallons to litres.

In this image, a vertical line is drawn from the given value of gallon until it meets the cross line. And then a horizontal line is drawn, which touches the litres line.

At the point at which this horizontal line touches the litres line, that value is considered as the corresponding litres for the given gallons.

Similarly, a vertical line is drawn from the litres line until it meets the cross line. And then a vertical line is drawn, which touches the gallons line.

At the point at which this vertical line touches the gallons line, that value is considered as the corresponding gallons for the given litres.

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Answer:

4x-3y=21.

Step-by-step explanation:

1) the common view of slope-interception form is y=slope*x+interception;

2) if according to the condition the slope=4/3, then the required equation is

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

3) in order to calculate the interception it is enough to substitute the given coordinates into this equation:

[tex]1=6*\frac{4}{3} +interception; \ = > \ interception=-7;[/tex]

4) the slope interception form of the required equation is:

[tex]y=\frac{4}{3}x-7;[/tex]

5) if to re-write the equation in slope-interception form into the required, then (A=4; B=-3; C=21):

4x-3y=21.

37.375 kg of peanuts must be added to the 4 kg of mixed nuts to make a mixture containing 92 % of peanuts.

Total mixture of mixed nuts = 4 kg

60 % of them are peanuts.

So, we will calculate the percentage:

Let x be the amount of peanuts.

60 / 100 x = 4 kg

0.6 x = 4 kg

x = 4 kg / 0.6

x = 6.67 kg

Now let the peanuts added be y

So, 92 % of ( 4 kg + y )  should be peanuts.

So, we get the equation as:

0.92 ( 4 ) + 0.92 y = 6.67 + y

3.68 + 0.92 y = 6.67 + y

0.08 y = 2.99

y = 37.375 kg

Therefore, 37.375 kg of peanuts must be added to the 4 kg of mixed nuts to make a mixture containing 92 % of peanuts.

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As per the alternate angle property, alternate angles are equal hence, is x = 7.

What is the alternate angle property?

Equating the alternate angles,

11x-2=10x+5,

11x - 10x = 5 + 2

x = 7

Since, as per the alternate angle property, alternate angles are equal.

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Step-by-step explanation:

so it starts with

182 = 182 × 3 / p

as the price is inversely related to D.

(a)

so, in general

D = 182 × 3/p = 546/p

(b)

D = 546/3.25 = 168 bags

if the price increases to $3.25, then they will sell only 168 bags.

I am sure, the function will not stay linear for every value of p. for example, if they increase the price to $546 per bag, they would still sell 1 bag. but I am certain, they would fall to 0 sold bags much, much earlier than that ...

1) The angular speed is approximately 12.566 radians per second.  

2) The linear speed of a point on the edge of the disk is 1.257 meters per second.

1) Herein we have a disk that spins at constant angular speed (ω), in radians per second, whose magnitude is found dimensional analysis and unit conversions:

ω = 120 rev / min × (2π rad / 1 rev) × (1 min / 60 s)

ω ≈ 12.566 rad / s

The angular speed is approximately 12.566 radians per second.  

2) The linear speed (v), in meters per second, on the edge of the disk is described by the following formula:

v = R · ω  

Where R is the radius of the spinning disk, in meters.

If we know that R = 0.1 m and ω ≈ 12.566 rad / s, then the linear speed is:

v = (0.1 m) · (12.566 rad / s)

v = 1.257 m / s

The linear speed of a point on the edge of the disk is 1.257 meters per second.

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Answer:  380.5

Step-by-step explanation: you can type it into desmos graphing calculator

Answer: 45,000,000,000 dl

Step-by-step explanation:

10,000,000,000 dl=1 gl

4.5 gl * 10,000,000,000 dl/1 gl =

4.5 * 10,000,000,000 dl = 45,000,000,000 dl

The number multiplied by 7/9 to get a product of one will be 9/7.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Suppose the number when multiplied by 7/9 as a product of one be x,

When the product of two numbers is 1, they are termed multiplicative inverses. To make the expressions simpler, use the multiplicative inverse. When we solve division problems, the multiplicative inverse is one application. When dividing two numbers, the dividend is multiplied by the reciprocal of the divisor.

x × 7/9 = 1

x=9/7

Thus, the number multiplied by 7/9 to get a product of one will be 9/7.

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Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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Answer:

Angle 1: 28 degrees

Angle 2: 52 degrees

Angle 3: 52 degrees

Angle 4: 28degrees

Angle 5: 28degrees

Angle 6 : 52degrees

Angle 7 : 52degrees

Angle 8 : 28degrees

To two decimal places ✓70 just be between 8.36 and 8.37.

It should be noted that we simply have to calculate the information is to find the square root of 70.

Therefore, this is approximately 8.366

Therefore, to two decimal places ✓70 just be between 8.36 and 8.37.

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The domain of the function g ( x ) = √ x − 3 / x − 11 is R - 11.

Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

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The interval notation is { 5/ 2 < x > 0 }

Given the inequalities;

To determine the value of x, we have;

2x - 1 < 4

collect like terms

2x < 4 + 1

2x < 5

Make 'x' the subject

x < 5/ 2

−5x −3 > −3

collect like terms

-5x > -3 + 3

-5x > 0

x > 0

Thus, the interval notation is { 5/ 2 < x > 0 }

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Answer:

A)50°F = 10°C

B)75°C = 167°F

C)-40°C = -40°F

Step-by-step explanation:

A) 50°F = 10°C

Formula

(50°F − 32) × 5/9 = 10°C

B) 75°C = 167°F

Formula

(75°C × 9/5) + 32 = 167°F

C) -40°C = -40°F

Formula

(-40°C × 9/5) + 32 = -40°F

Answer: 3.3 hours

Step-by-step explanation:

Using z-scores, it is found that a scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.

The z-score of a measure X of a distribution with mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the first scale, the parameters are given as follows:

[tex]X = 40, \mu = 37, \sigma = 6[/tex]

Hence the z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (40 - 37)/6

Z = 0.5.

For the second scale, we want to find X when Z = 0.5, considering the following mean and standard deviation:

[tex]\mu = 50, \sigma = 10[/tex]

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

0.5 = (X - 50)/10

X - 50 = 5

X = 55.

A scale of 40 on the first scale is equivalent to a score of 55 in the new standardized scale.

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Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Answer:

Answer is -4

Step-by-step explanation:

To solve this, you want to substitute the values of x and y. So, 2(-3)^2-5(-3)(-2)-(-2)^3 which will give you -4.

Answer:

Option A: 3, 7, 11, 15

Step-by-step explanation:

f(2) = f(1) + 4 = 3 + 4 = 7

f(3) = f(2) + 4 = 7 + 4 = 11

f(4) = f(3) + 4 = 11 + 4 = 15

f(5) = f(4) + 4 = 15 + 4 = 19

Answer:

3.65

Step-by-step explanation:

The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6

Answer:

$10.85

Step-by-step explanation:

Divide 54.25 by 5 and you get 10.85.

Answer:

$243 is his profit

Step-by-step explanation:

Answer: $4100

Step-by-step explanation:

discount = [tex]\frac{1800}{90}[/tex]×100 = 2000

profit = [tex]\frac{115}{100}[/tex]×2000 = 2300

market price = 2300 + 1800 = 4100

Answer:

The answer to the question is the third answer

Answer:

132, 900.

Step-by-step explanation:

The 9 is in the tens, so it tells the hundreds to go up by 1 to 9 & add 2 zero's beside. The answer would be 132, 900.

Answer:

Put S=(1,-10) R(-10,-8) T(-8,-9) Make sure to put a ´ after these letters when you put them down

Step-by-step explanation:

Answer: P= 2 6/7

Step-by-step explanation:

Answer:

Your answer is correct

Step-by-step explanation:

Use the rules of exponents to simplify the expression.

To raise a power to another power, multiply the exponents.

Multiply 6 by 2.

The correct option is the third.

The elements of (A∪B∪C) = {1, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}

The elements of (A∩B∩C) = DNE

From the question, we are to list the elements of the given sets

From the given information,

Set A = {7, 9, 12, 13, 14}

Set B = {1, 4, 5, 7, 16, 18, 19}

Set C = {4, 6, 8, 9, 11, 13, 15, 16, 17, 19}

We are to list the elements of (A∪B∪C)

(A∪B∪C) = {1, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}

Also, we are to list the elements of (A∩B∩C)

(A∩B∩C) = { } OR ∅

Since this is an empty set

(A∩B∩C) = DNE

Hence,

The elements of (A∪B∪C) = {1, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}

The elements of (A∩B∩C) = DNE

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