1.The angles above are examples of___________ angles. (SUPPLEMENTARY OR COMPLEMENTARY)


The value of the missing angle is _____
75
105
90
15


please please help

The center of this circle is (-2,2) and its radius is 2.

It is required to find the center and radius of the circle.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

Given that: (x + 2)² + (y-2)² = 4

The equation of a circle in standard form is:

(x -a)² + (y-b)² = r²

The x-coordinate of the center is a the y-coordinate of the center is b

, and r is the radius.

In this case,

a=-2

b=2

and

r=2.

Hence, the center of this circle is (-2,2) and its radius is 2.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

Using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. The total of a triangle's three sides is the perimeter of the triangle. The space a triangle occupies is known as its area. The area is obtained by taking half of the product of base and altitude.

Now we are asked to draw a triangle with a side length of 4 inches that is between angles of 50° and 65°.

First, let us mark the 50° angle.

Draw a straight line of 4 inches using the ruler as the base.

Keep the protractor on top at one of the ends of the line.

Mark the 50° angle.

Draw a straight line passing through the marked point using the ruler.

Now move the protractor to the other end of the line.

Mark the angle 65°.

Draw a straight line passing through the marked point using the ruler until it meets the 50° angle line.

This is a triangle with angles of 50 and 65 degrees.

Therefore, using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.

To learn more about triangles, follow the link.

https://brainly.com/question/29026728

#SPJ1

Answer:

f(x) /x-3

Step-by-step explanation:

Answer:

   1. Gross pay = hourly rate x hours worked

   Gross pay = $14 x 32 = $448

   2. Net pay = gross pay - deductions

   Federal taxes = 10% of gross pay = 0.1 x $448 = $44.80

   State taxes = 4.5% of gross pay = 0.045 x $448 = $20.16

   FICA = 6% of gross pay = 0.06 x $448 = $26.88

   Total deductions = $44.80 + $20.16 + $26.88 = $91.84

   Net pay = $448 - $91.84 = $356.16

   3. Gross pay = hourly rate x hours worked

   Gross pay = $17 x 40 = $680

   4. Regular pay = hourly rate x hours worked

   Regular pay = $20 x 40 = $800

   Overtime pay = (hourly rate x 1.5) x overtime hours

   Overtime pay = ($20 x 1.5) x 5 = $150

   Gross pay = regular pay + overtime pay

   Gross pay = $800 + $150 = $950

   5. Net pay = gross pay - deductions

   Federal taxes = 14% of gross pay = 0.14 x $950 = $133

   State taxes = 4.5% of gross pay = 0.045 x $950 = $42.75

   FICA = 6% of gross pay = 0.06 x $950 = $57

   Total deductions = $133 + $42.75 + $57 = $232.75

   Net pay = $950 - $232.75 = $717.25

Step-by-step explanation:

The point which has the coordinates (-3.5, 4) is point Z.

Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.

Given coordinate is (-3.5, 4).

This means that the point is at a distance of 3.5 to the left of the origin and at a distance of 4 units above the origin.

So in order to find the point, mark the point -3.5 in the exact middle of -3 and -4 on the X axis.

Mark the point 4 on the Y axis.

Draw perpendicular lines from both.

Intersecting point is the given point.

Here point Z indicates this.

Hence point Z indicates the coordinates (-3.5, 4).

To learn more about Coordinates, click on the link given :

https://brainly.com/question/18402024

#SPJ9

Your question lacks the graph showing the points and coordinates. The graph is given below.

Therefore, the equations that represent circles with a diameter of 12 units and a center on the y-axis are x² + y² = 36 and (x + 6)² + y² = 36.

The radius of a circle having a diameter of 12 units is 6 units. The center's x-coordinate is zero if its centre is on the y-axis.

To discover which equations describe circles with these characteristics, we may use the conventional version of the equation of a circle, (x - h)2 + (y - k)2 = r2, where (h, k) is the circle's centre and r is its radius.

When we enter h = 0 and r = 6, we obtain:

(x - 0)² + (y - k) (y - k)² = 6²\sx² + (y - k) (y - k)² = 36

As we are aware that the centre is on the y-axis, the center's y-coordinate is also 0. K thus equals 0.

With k = 0, we obtain:

x² + y² = 36\s(x - 4) (x - 4)² + y² = 36\s(x + 6)² + y² = 36

Learn more about coordinate geometry here:

brainly.com/question/18269861

#SPJ9

Answer:

[tex]\frac{7}{2}[/tex] π

Step-by-step explanation:

To find the arc length of the partial circle, you have to find a fourth of the circumference

C = [tex]\frac{1}{4}[/tex] πd - Formula

C = [tex]\frac{1}{4}[/tex] 14π - Plug in values

C = [tex]\frac{14}{4}[/tex] π - Simplify/Solve

C = [tex]\frac{7}{2}[/tex] π

By answering the supplied question, we may infer that the response is standard deviation As a result, 95% of requests for lightbulb replacements with a total number between 38 and 54 are in this range.

A statistic known as standard deviation may be used to indicate the variation or variability of a set of statistics. A low standard deviation means that the values tend to be closer to the established mean whereas a large standard deviation shows that the values are widely spread. The standard deviation serves as a gauge for how far the data are from the mean (or ). The data tend to cluster around the mean when the standard deviation is low, and are more scattered when the standard deviation is high. Standard deviation is a measurement of the data set's average variability. It displays the standard deviation of each score with respect to the mean.

The rule states approximately:

One standard deviation from the mean is shared by 68% of the requests.

The average request is within two standard deviations in 95% of cases.

The average request falls within three standard deviations in 99.7% of cases.

a mean three standard deviations away:

38 8 = 30 to 46 with one standard deviation

two standard deviations: 22 to 54 for 38 2(8)

38 3(8) = 14 to 62 for three standard deviations

We know that almost 95% of the requests fall within this range since we are interested in the proportion of requests between 38 and 54, which is within two standard deviations of the mean. As a result, 95% of requests for lightbulb replacements with a total number between 38 and 54 are in this range.

To know more about standard deviation visit:

https://brainly.com/question/23907081

#SPJ1

Answer:

4.15 or

Step-by-step explanation:

100/20=5 times 3 is 15

so its 4.15 which equals 4 3/20

Answer: 30

Step-by-step explanation:

plug in x=8 to get: 6(8 - 3)

solve inside parenthesis: 6(8-3) = 6(5)

multiply: 6(5) = 30

Answer:

[tex] \sf \: 6(x - 3) = 30[/tex]

Step-by-step explanation:

Now we have to,

→ Find the value of 6(x - 3).

Given information,

→ x = 8

Let's solve the problem,

→ 6(x - 3)

→ 6(8 - 3)

→ 6(5)

→ 6 × 5

→ 30 => [solution]

Hence, the answer is 30.

If the spinner is spinning two times then the sample space becomes { BB,B0,BR,OB,OO,OR,RB,RO,RR}.

In probability a sample space is a set of possible number of outcomes of a random experiment.

A spinner has three equal sections blue(B), orange(O), red(R).

The sample space will be

Spin 1 Spin 2

Blue Orange

Blue Red

Blue Blue

Red Blue

Red Orange

Red Red

Orange Blue

Orange Red

Orange Orange

Hence, If the spinner is spinning two times then the sample space becomes { BB, B0, BR, OB, OO, OR, RB, RO, RR}.

To know more about sample space  from the given link

https://brainly.com/question/11367246

#SPJ1

The number of students who would be there are 24 students .

The number of both students and chaperones on the trip are 28 in number. Again , this is both the chaperones and the students .

There are 4 chaperones according to the question . So to find the number of students on the field trip, the formula would be :

= Total number of both students and chaperones - Total number of chaperones

= 28 - 4

= 24 students

The number of students who would be on the field trip is 24 students .

Find out more on field trips at https://brainly.com/question/19908237.

#SPJ1

The functions are Identified as below

The domain is all real numbers for both

An x-intercept is (π, 0) for sin

The minimum value is -1 for both

An x-intercept is (π/2, 0) for cos

Sin functions, or sine functions, are mathematical functions that describe a wave-like pattern that oscillates between a maximum and minimum value.

sin functions has x intercept of (π, 0), this can be checked by setting a calculator in radian and checking for sin π.This will give a value of of zero

For cos the x intercept is zero at π/2

Learn more about sin functions at:

https://brainly.com/question/21902442

#SPJ1

Using trigonometric identity,  the exact value of sin(A + B) in simplest radical form is 17√5 / 25√13.

We can use the trigonometric identity for the sine of the sum of two angles:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

We know that Tan A = 8 and that angle A is in quadrant 1. We can use the fact that Tan A = sin(A)/cos(A) to find sin(A) and cos(A)

[tex]Tan A = sin(A)/cos(A)\\sin(A) = Tan A * cos(A) = 8 * (1 / \sqrt(1 + Tan^2 A)) = 8 / \sqrt(65)\\cos(A) = 1 / \sqrt(1 + Tan^2 A) = 1 / \sqrt(65)[/tex]

We also know that sin B = 1/sqrt(5). Since angle B is in quadrant 1, we can use the Pythagorean identity cos^2(B) + sin^2(B) = 1 to find cos(B):

[tex]cos(B) = \sqrt(1 - sin^2(B)) = \sqrt(1 - 1/5) = 2\sqrt(5) / 5[/tex]

Now we can substitute these values into the formula for sin(A + B):

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

[tex](8 / \sqrt(65)) * (2\sqrt(5) / 5) + (1 / \sqrt(65)) * (1 / \sqrt(5)) = (16\sqrt(5) + 1) / (5\sqrt(325))[/tex]

We can simplify this fraction by multiplying the numerator and denominator by √5:

[tex]sin(A + B) = ((16\sqrt(5) + 1) / (5\sqrt(325))) * (\sqrt(5) / sqrt(5))\\ = (16\sqrt(5) + \sqrt(5)) / (25\sqrt(13))\\ = (17\sqrt(5)) / (25\sqrt(13))[/tex]

Learn more on trigonometric identity here;

https://brainly.com/question/24496175

#SPJ1

Answer:

Below

Step-by-step explanation:

sqrt(5x) * sqrt(x+3)  = sqrt ( 5x * x + 5x * 3) = sqrt ( 5x^2 + 15x)

The expression in terms of cosine is (1 - cos^2(x))^2

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

sin^4(x)

This can be expressed as

sin^4(x) = (sin^2(x))^2

As a general rule:

sin^2(x) = 1 - cos^2(x)

Using the above as a guide, we have the following equation

sin^4(x) = (1 - cos^2(x))^2

Hence, the solution is (1 - cos^2(x))^2

Read more about trigonometry ratio at

https://brainly.com/question/24349828

#SPJ1

Answer

The answer is 60

Step-by-step explanation:

Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.

Value is the worth of something, based on its importance, usefulness, or desirability. It is something that has a desired quality, such as excellence, utility, or desirability. Value can be physical, such as a commodity, or intangible, such as respect, loyalty, or knowledge. Value is determined by both the individual and the society in which they live. Value can be assigned to both tangible and intangible things, such as a house, an education, or a friendship. Value is a subjective measure and can vary greatly from person to person.

The answer is -6. To evaluate f (g(2)), we need to determine what g(2) is first. Looking at the table, we can see that g(2) is 4. Therefore, we need to find the value of f(4). Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.

To know more about value click-
https://brainly.com/question/25184007
#SPJ1

The angular motion of the second hand is 720 h , we also have to know the meaning of angular motion.

The body moving along the curved path at a constant angular velocity can be used to describe the angular motion.

As there are 12 hours on a clock, every hour means 360/12 = 30° rotation for the hour hand.

so, for each hour the second hand moves 21600°.

that means 21600/360 = 60 full rotations.

that means one rotation of the second hand is 1 minute.

so, the second hand is truly a second hand (counting the seconds).

60 seconds in a minute (a full rotation by the second hand), that means each second corresponds to 360/60 = 6° rotation of the second hand.

[tex]the \ ratio \ is\ \frac{30}{21600} = \frac{3}{2160} = \frac{1}{720}[/tex]

that means for every degree the hour hand moves, the second hand does 2 full rotations (2×360°).

h = s×30/21600 = s/720

s = 720 h.

To learn more about Rotation, visit :

https://brainly.com/question/14979994

#SPJ1

The common factor of the trinomials x² - 7x - 18 and x² + 14x + 24 is (x + 2).

The above polynomials are trinomials. A trinomial is a polynomial with three terms. Let's factor the trinomials and find what they have in common.

Hence,

James factors x² - 7x - 18.

x² - 7x - 18

x² + 2x - 9x - 18

x(x + 2) - 9(x + 2)

(x - 9)(x + 2)

Kaitlin factors x² + 14x + 24.

Hence,

x² + 14x + 24

x² + 2x + 12x + 24

x(x + 2)+ 12(x + 2)

(x +2)(x + 12)

Therefore, the common factor is (x + 2)

learn more on trinomial here: https://brainly.com/question/9702142

#SPJ1

Answer:

8 3/4

Step-by-step explanation:

1 + 7 3/4 = 8 3/4 bbbbbbbbbbbbbb

Answer: This is for college? lol the answer should be $2.75

Step-by-step explanation:

45.50-42.75= 2.75

For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5.

A fractional number is any numerical value that is not a whole number. It is a number that has been divided into two or more equal parts, such as 1/2, 3/4, 5/8, and 7/16. Fractional numbers are also known as rational numbers.

Yvette needs 4.6 yards of fabric for her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 4.6/1 or 46/10.

Yvette also needs 1.83 feet of cording for the border of her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 1.83/1 or 183/100.

To make sure she has the right amount of materials, Yvette should use the numbers from the box to write each measurement as a fraction. For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5. By writing the measurements as fractions, Yvette can be sure to have the right amount of fabric and cording for her project.

For more questions related to whole number,

https://brainly.com/question/29766862

#SPJ1

Question: 'Yvette is making blanket: She is going to the craft store for supplies. She wrote her measurements as decimals. Yvette needs 4.6 yards of fabric: She also needs 1.83 feet of _ cording for the border: Use numbers from the box to write each measurement as a fraction. yards of fabric: feet of cording: " 90'

Answer:

2.5

Step-by-step explanation:

for example, if you take two of the value of x's -- 5/2, it equals 2.5

2 x 2.5 = 5

Answer:

1/15

Step-by-step explanation:

Based on the given conditions, formulate: 2/3 divided by 10

Divide a fraction by multiplying its reciprocal: 2/3 x 1/10

Cross out the common factor: 1/3 x 1/5

Write as a single fraction: 1/3x5

Calculate the product or quotient:1/15

get the result:1/15

Answer:

1/15

1/15

Step-by-step explanation:

Based on the given conditions, formulate: 2/3 divided by 10

Divide a fraction by multiplying its reciprocal: 2/3 x 1/10

Cross out the common factor: 1/3 x 1/5

Write as a single fraction: 1/3x5

Calculate the product or quotient:1/15

get the result:1/15

Answer:

1/15

The three fraction are:

A) -1/2 and 1/2

C) -3/4 and 4/3

E) 1/4

What is expression?

One or more variables or numbers are combined with one additional action to form an expression.

To answer this question, we need to evaluate the given expression:

-1/4

This is a fraction with a negative numerator and a positive denominator. It represents a number that is less than zero, but closer to zero than to negative one.

To choose three answers from the options provided, we need to look for fractions and numbers that are close in value to -1/4.

Here are three possible answers:

Therefore, the three answers are:

A) -1/2 and 1/2

C) -3/4 and 4/3

E) 1/4

To know more about expression visit,

https://brainly.com/question/1859113

#SPJ1

The equation -cd is always defined, regardless of the values of the variables c and d.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given that;

The equation cd

Now,

The equation -cd is always defined, regardless of the values of the variables c and d.

The expression -cd represents the product of two numbers, -c and d. Multiplication is a well-defined operation for all real numbers, including zero. so, neither c nor d need to be non-zero for the expression to be defined.

Therefore, the equation -cd is defined for all values of a, b, c, and d, including zero

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ1

The actual amount the salesman pays for an article with a marked price of N950.00 is N2,312.50.

Amount is a word used to refer to a quantity or amount of something. It can also be used to refer to the total sum of money, goods, or services due for payment or exchange. It can also refer to the balance of money or goods due for payment or exchange. Amount is also used to refer to the size, extent, or magnitude of something.

To calculate this amount, we first need to calculate the amount of discount the salesman is offering. This is calculated by taking the marked price and multiplying it by the discount percentage: N950.00 x 125% = N1,187.50. Then, we subtract this discount amount from the marked price: N950.00 - N1,187.50 = N2,312.50. This is the actual amount the salesman pays for the article.

To know more about amount click-
https://brainly.com/question/19104371
#SPJ1

The number of workers required = 15

Observe the given problem and find out the relation between the number of workers and the number of days.

In given two one quantity decreased and the other quantity increased then both quantities are said to be in inverse proportions.    

Here the product of two quantities will equal a constant.

Here we have

10 workers can complete a piece of work in 18 days

Let 'x' be the number of workers required to complete work in 12 days

Here when the number of days increases the number of workers will be decreased which shows the number of work is inversely proportional to the number of days

The relation can be represented as  

=> 10 worker × 18 days  = 12 days × x workers

=> 10 × 18 = 12x

=> x = 180/12

=> x = 15

Therefore,

The number of workers required = 15

Learn more about Inverse proportions problems at

https://brainly.com/question/20884824

#SPJ1

Answer:

96in²

Step-by-step explanation:

64+((4*8/2)*2)=96in²