help me, i will give a lot of points for this

9514 1404 393

Answer:

  A: ∠WXZ = 87°; ∠ZXY = 73°

Step-by-step explanation:

Ray XZ divides the angle WXY into parts that have a sum equal to the whole.

  (7x-4)° +(5x+8)° = 160° . . . . . whole is sum of parts

  12x = 156 . . . . . . . . . . . . . divide by °, subtract 4

  x = 13 . . . . . . . . . . . . . . divide by 12

  ∠WXZ = (7x -4)° = (7·13 -4)° = (91 -4)° = 87° . . . . . matches choice A

Answer: aₙ = -11 + 7(n - 1)

Step-by-step explanation: The equation of an arithmetic sequence is

aₙ = a₁ + d(n - 1).

a₁ is the first term.

d is the common difference.

Answer:

x = 21.7, to the nearest tenth

Step-by-step explanation:

Set your calculator to degree mode.

\( \cos(37) = \frac{17.3}{x} \)

\(x \cos(37) = 17.3\)

\(x = \frac{17.3}{ \cos(37) } = 21.7\)

Answer:

67.25

Step-by-step explanation:

Since they can each get 1/2 the jelly beans but need to eat it over 4 days they will be eating 1/2*1/4 jelly beans per day. This is equal to 1/8x where x is the total jelly beans. We know the total so we can plug 538 in for x and divide 538 by 8 to get 67.25

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

B

Step-by-step explanation:

Answer:

\( = 4 - 12x \\ \)

Answer C is correct.

Step-by-step explanation:

\( - 6( - \frac{2}{3} + 2x) \\ \frac{12}{3} - 12x \\ = 4 - 12x\)

hope this helps you.

Answer:

3: 20 pm

\( = > hours = 12 and 2 + 1hour = > 3 \: pm \\ minutes = 30 - 10 = 20 \: minutes \\ it \: ended \: at \: 3 : 20 \: pm\)

Answer:

it ended at 3.20pm

Step-by-step explanation:

12.50 to 1.50 is one hr

1.50 to 2.50 is two hrs

2.50 to 3.20 is two and half hrs

A total of 8 workers are required for a building time of 15 days.

In this problem we find a case of inverse relationship, in which the number of workers (n) is inversely proportional to building time (t), in hours. The situation is represented by following formulas:

n ∝ 1 / t

n = k / t

Where k is the proportionality ratio, which can be eliminated by building the following formula:

n₁ · t₁ = n₂ · t₂

If we know that n₁ = 10, t₁ = 12 and t₂ = 15, then the required number of workers is:

n₂ = n₁ · (t₁ / t₂)

n₂ = 10 · (12 / 15)

n₂ = 10 · (4 / 5)

n₂ = 8

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\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)

Answer:

1.00 would be the cost

Step-by-step explanation:

Answer:

Im sure you dont need this anymore but in case someone else does, im pretty sure the answer is B

Answer:

B is tha right answer

Step-by-step explanation:

Answer:

512 cube inches

Step-by-step explanation:

The radius of volleyballs is 4 inches, thus;

diameter of the balls = 2 x radius

                                   = 2 x 4

                                   = 8

The diameter of each ball is 8 inches.

Since the box has the shape of a cube, the smallest box that can hold a volleyball would have its dimensions equal to the diameter of the balls.

So that for the cube,

length = width = height = 8 inches

volume of a cube = \(l^{3}\)

volume of the smallest box = \(8^{3}\)

                           = 512 cube inches

The volume of the smallest box that can hold a volleyball is 512 cube inches.

This type of data can be analyzed using a two-way analysis of variance (ANOVA) to determine the effect of both the day of the week (weekday or weekend) and the shift (morning or evening) on chair production. The manager can use this information to make predictions about future production based on the day of the week and shift.

The manager can start by creating a table to show the average number of chairs produced on each day of the week and shift. Then, a two-way ANOVA can be performed to determine if there is a significant difference in the mean number of chairs produced between weekdays and weekends, and between morning and evening shifts.

If the results of the ANOVA show that there is a significant effect of the day of the week and/or the shift on chair production, the manager can use this information to make more accurate predictions about future chair production. For example, if the results show that chair production is higher on weekdays compared to weekends, the manager can make predictions based on this information and allocate resources accordingly.

It is important to note that other factors such as the availability of materials, number of workers, and machine downtime can also impact chair production and should be considered when making predictions.

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Answer:

Use Sin if Opposite Hypotenuse, Use Cosine if Adjacent Hypotenuse, and Use Tangent if Opposite Adjacent

Answer:

C

Step-by-step explanation:

180 - 55 = 125

Why 180?

Because 180 is a fixed degree for one straight line

Answer:

If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

y = kx

24 = k(12)

k = 2

Now that we know k, we can use the equation to find the value of y when x=16:

y = kx

y = 2(16)

y = 32

Therefore, when x=16, y=32.

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

Slope = (y2 - y1)/(x2 - x1)

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.

The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.

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Answer:

b=130°

Step-by-step explanation:

The relationship between these two angles is about the fact that they are supplementary

i.e their sum is 180°

Step-by-step explanation:

7x-21 = 5x +15

7x-5x = 15 + 21

2x = 36

x = 36/2

x = 18

Answer:

x=18

Step-by-step explanation:

Distribute 7 through the parentheses

7x-21=5(x+3)

Move the variable to the left -hand side and change its sign

7x-21-5x=15

Collect like terms

2x=15+21

divide both sides of the equation by 2

x=18

The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

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Answer:

steel......................,...................

Answer:

The answer is C.

Step-by-step explanation:

I just did the test and the answer was C

The intercept is 1,000; the value of the antique at 1 year of age.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Let us take two points from the graph (0, 1000) and (35, 4000)

Now, slope= ( 4000- 1000)/(35- 0)

                  = 3000/35

                  = 600/7

Now, slope- intercept form

y- 1000= 600/7 ( x- 0)

y- 1000 = 600/7 x

y= 600/7x + 1000

Hence, the intercept is 1,000; the value of the antique at 1 year of age.

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In the given triangles,

∠B = ∠A

∠T = ∠M

Since, two angles of a triangle are equal, the third angle will also be equal.

Also, ΔLBT is similar to ΔHAM ........(by Angle - Angle similarity)

Now,

⇒ LB/HA = BT/AM = LT/HM ..........(Sides of similar triangles are proportional)

⇒ LB/HA = BT/AM

⇒ 4/HA = 6/10

⇒ 10 x 4 = HA x 6

⇒ HA = 40/6

⇒ HA = 20/3

⇒ HA = 6 2/3

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Since the above shape is a quadrilateral with four equal sides, it can be called a Rhombus. Thus, to prove that ∠BAD ≅ BCD all we need state is that:

Line AB ≅ Line BC ≅ Line CD ≅ LIne DA : Given

∠ABC ≅ ADC [Definition of and Properties of Rhombus]

Thus ∠BAD ≅ BCD [Definition of and Properties of Rhombus]

The exact property referenced in above is:

The opposite angles of a rhombus are equal to each other. Other properties are given as follows:

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The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

Answer:

-1, 1, 1, 1.5

Step-by-step explanation:

Just look at the y-axis to figure out the y -cooridnates.

Answer:  A: -1-,-1  B: -2,1  C: 2,1  D: 1.5, 1.5

Step-by-step explanation:

The total pay change for each issue of Math is Fun sold by Carlos is $110. If he doesn't sell copies of Math is Fun, Carlos's gross wages are $2500 for him.

Given that:

x represents the number of copies of Math is Fun he sells. Suppose that x and y are related by the equation 2500 + 110x = y.

Equation: The equation is the values of two expressions that are equal.

Here,

For equation,

y = 2500 + 110x

The change in Carlos's total pay for each copy of Math is Fun he sells,

Differentiate the equation,

dy/dx = 110

The total pay for each copy of Math is Fun he sells is $110.

Carlos's total pay if he doesn't sell any copies of Math is Fun,

x = 0

y = 2500

Carlos's total pay if he doesn't sell any copies of Math is Fun is $2500.

Thus, the change in Carlos's total pay for each copy of Math is Fun he sells is $110. Carlos's total pay if he doesn't sell any copies of Math is Fun is  $2500.

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