John is painting parallel lines in the parking lot to create parking spaces. The measure of angle A is 60° What is the measure of angle B?A-60 °B-90 °C-120 °D-180 °

Explanation:

Replace (4x+6) with another variable. Let's go for w.

We'll then use the distributive property like so,

(4x+6)(2x-3)

w*(2x-3)

w*2x + w*(-3)

(4x+6)(2x) + (4x+6)(-3)

For this problem, we were informed that the variable "y" is directly proportional to the cube of x. We were also informed that y is equal to 9 when x is equal to 5, from this we need to determine the value of y when x is equal to 4.

Since the two variables are directly proportional, we can write them as shown below:

Where "k" is an unknown constant number that we need to determine. Since we have a point on this function (5, 9), we can determine "k" by replacing these coordinates on the expression.

With the value of k, we can complete the expression:

Now we can replace "x" with 4 to determine the value of y.

The value of y is approximately 4.61.

The value of x is 6.

Given,

m∠THV=(16x+20)

m∠THX=53

m∠XHV=(12x−9)

We need to find what is the value of x.

In the given figure we see that.

m∠THV = m∠THX + m∠XHV

Substituting the given:

m∠THV=(16x+20)

m∠THX=53

m∠XHV=(12x−9)

m∠THV = m∠THX + m∠XHV

(16x+20) = 53 + (12x−9)

16x + 20 = 53 + 12x - 9

Subtracting 12x on both sides

16x + 20 - 12x = 53 + 12x - 9 - 12x

4x + 20 = 53 - 9

4x + 20 = 44

Subtracting 20 on both sides

4x + 20 - 20 = 44 - 20

4x = 24

Dividing 4 on both. sides

4x/4 = 24/4

x = 6.

We see that x = 6.

Thus the value of x is 6.

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Answer:

Option A

x + 2x + x + 15 = 100

Step-by-step explanation:

Shortest side = x

One side twice length of Shortest side = 2x

Another side 15 more = x + 15

Hence, perimeter

=> x + 2x + x + 15 = 100

Note that:

For 1) To compute the average rate (AR), divide the change in y-values by the change in x-values. That is:

AR = (5-2)/5-4)

= 3/1

= 3ft/sec.

For 2) we must use the same formula above:
(2-5)/(10-7)

= -1 ft/sec.

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Full Question:

See attached graph

Answer

42.47

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x² - 10x + 21x - 35 = 6x² + 11x - 35

6x² - 6x² + 11x - 11x - 35 + 35 = 0

0 = 0

The equation is an identity. Its solution set is {all real numbers}.

Answer:

15-18

Step-by-step explanation:

The IQR is the middle 50% of a set of numbers

There are 8 numbers, so its the middle 4

The middle 4 consists of 15,15,16,18

The range is 15-18

Take into account that the mean of a data set is given by the sum of the elements of the data, divided by the number of elements.

Then, based on the previous description, you have:

mean = (17,481 + 14,983 + 13,521 + 14,550 + 18,570 + 14,993)/6

mean = 94,098/6

mean = 15,683

Hence, the mean of the given amounts is $15,683

Answer:

Total assets: 110,000

Total liabilities: 70,000

Step-by-step explanation:

Answer:

The first one is a scale by 1

The second one is a scale of 2

The third one is  scale of 5 starting at 100

Step-by-step explanation:

Answer: A. All real numbers except 2.

Step by step solution:

The expressions are equal for the set of values of x in which the functions are defined, we need to determine the domain of the rational expression before it is simplified.

In a rational expression, the denominator can not be 0, then the domain is:

All real numbers except 2. For the expression to be defined x can not be 2.

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

Answer:

see below

Step-by-step explanation:

center of circle = (2,-1)

r = 6 -2 = 4

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

so the equation will be:

( x - 2 )^2 + ( y +1 )^2 =16

Answer:

x=74.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 22 = 30/x

x tan 22 = 30

x = 30/ tan 22

x=74.25260

To the nearest tenth

x=74.3

Answer:

x = 39°

y = 90°

Step-by-step explanation:

Answer:

x = 39°

y = 92°

Step-by-step explanation:

x = 39° because alternate (or z) angles are equal.

x = 92° because all angles in a triangle add up to 180°.

so

49+39=88

angles on a straight line are equal to 180°

180°-88° = 92

Hope this helps!

The calculated ratio for the sine the angle A has its value to be 8/17

The ratio for sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

This ratio is commonly denoted as sin(θ), where θ is the angle of interest.

Mathematically, we can express this as:

sin(θ) = opposite / hypotenuse

Using the above, we have

opposite = 8

hypotenuse = 17

So, we have

sin(A) = 8/17

Hence, the ratio is 8/17

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y = cos (x) y = cos (x) The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Cos function defines in all range the domain of the y = cos(x) will be all real number.

The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

It will be possible to comprehend the graphs, domains, differentiation, and integration of the four quadrants' trigonometric functions.

The domain of the function y=cos(x) is all real numbers.

Cosine is defined as any angle measure

The range of the angle y will be -1 to 1 which is −1≤y≤1.

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

The set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

If the sides of the triangles are a, b and c. There will be three condition

a + b > c

b + c > a

c + a > b

We have to check these condition

Part 1

The sides are 3, 5 and 7

3 + 5 > 11

8 < 11

It does not form a triangle

Part 2

The sides are 4, 18 and 23

4+18 >23

22 < 23

It does not form a triangle

Part 3

The sides are 5, 9 and 14

5+9 > 14

14 = 14

It does not form a triangle

Part 4

The sides are 7, 12 and 18

7+12 > 18

19 > 18

12 + 18 > 7

30 > 7

7+18 > 12

25 > 12

It forms a triangle

Hence, the set of side measurement could be used to form a triangle is option(4) 7, 12 and 18

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Answer:

a=33

hope it helps again.

Answer:

7.2" was replaced by "(72/10)". 2 more similar replacement(s)

(38/10)-(p/3-(72/10))=0

36

Simplify ——

5

38 P 36

—— - ( — - ——) = 0

10 3 5

The left denominator is : 3

The right denominator is : 5

Least Common Multiple: 15

L. Mult. • L. Num. p • 5

—————————— = —————

L.C.M 15

R. Mult. • R. Num. 36 • 3

—————————— = —————

L.C.M 15

p • 5 - (36 • 3) 5p - 108

——————— = —————

15 15

19

Simplify ——

5

19 (5p - 108)

—— - —————— = 0

5 15

The left denominator is : 5

The right denominator is : 15

L. Mult. • L. Num. 19 • 3

——————— = ————

L.C.M 15

R. Mult. • R. Num. (5p-108)

————————— = ————

L.C.M 15

19 • 3 - ((5p-108)) 165 - 5p

————————— = ——————

15 15

165 - 5p = -5 • (p - 33)

-5 • (p - 33)

—————— = 0

15

-5•(p-33)

—————— • 15 = 0 • 15

15

-5 • (p-33) = 0

-5 = 0

p-33 = 0

p = 33

Answer:

8.0 × 10^-3 ÷ 4.0 × 10^4

= 2.0 × 10^-3-4

= 2.0 × 10^-7

or 0.0000002

The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so  we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

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Answer:

The answer is (5x - 3) (25x² + 15x + 9)

Step-by-step explanation:

125x³ - 27

5 × 5 × 5 × x × x × x - 3 × 3 × 3

Rewrite 125x³ as (5x)³.

(5x)³ - 27

Rewrite 27 as (3)³.

(5x)³ - (3)³

Here, Both terms are perfect cubes, factor using the difference of cube formula,

a³ - b³ = (a - b) (a² + ab + b²)

where,

a = 5x

b = 3

Now,

(5x - 3) [(5x)² + (5x)(3) + (3)²]

Now, Simplify

(5x - 3) (25x² + 15x + 9)

Thus, The answer is (5x - 3) (25x² + 15x + 9)

-TheUnknownScientist 72

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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The building in the drawing is 700 centimeters or 7 meters.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Given 3 meters on real is equal to 7 centimeters on drawing

i.e. 3 meters=7 centimeters

or, 1 meter = 7/3 centimeters

We need to find reading for 300 meters so,

or, 300 meters=7/3*300 centimeters

                        =700 centimeters or 7  meters

Therefore the building in the drawing is 700 centimeters or 7 meters.

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Answer:

Step-by-step explanation:

Rule for the dilation of a point by a scale factor 'k' about the origin is,

(x, y) → (kx, ky)

By this rule,

Coordinates of the vertices of the given triangle when dilated by a scale factor of \(\frac{1}{3}\) about the origin will be,

F(-3, -9) → F'(-1, -3)

G(-3, -6) → G'(-1, -2)

H(3, -6) → H'(1, -2)

Answer:

o;oi;io;o

Step-by-step explanation:iu;iu;ui;jil

;oi;'o'po'oljhiluiluio;ii

Answer:

x - 5y = -12  or  1x - 5y = -12

Step-by-step explanation:

The standard form is Ax + By = C

Where, if at all possible, A, B, and C are integers, and A is non-negative.  

Given the linear function, \(y - 3 = \frac{1}{5}(x - 3)\), we must transform this equation into its standard form.  

We can start by distributing 1/5 into the terms inside the parenthesis:

Subtract 1/5x on both sides of the equation:

This will result in:

Next, add 3 on both sides of the equation:  

Simplify the like terms on the right-hand side of the equation:

We can eliminate the fractions and turn the coefficient of x (A) into a positive number by multiplying both sides of the equation by -5:

Our linear equation in standard form is:

x - 5y = -12  or 1x - 5y = -12

where A = 1, B = -5, and C = -12