If triangles def and npq are similar, what is the length of side q?

Answer:

87=x + 4  x=83

Step-by-step explanation:

87= x + 4

Switch sides

x + 4 = 87

Subtract 4 from both sides

x + 4-4 = 87-4

Simplify

x = 83

Answer:

D) all real number greater than or equal to 0

Step-by-step explanation:

pls mark brainliest

Answer:

3 x plus 8 minus 8 equals 14 minus 8

Step-by-step explanation:

3x+8 = 14

Step 1 subtract 8 from each side

3x+8-8 = 14-8

Answer:

  296.1 yards

Step-by-step explanation:

The surveyor is interested in solving a triangle with two sides and the enclosed angle known. The Law of Cosines is used for that purpose.

The angle interior to the triangle where the surveyor turned is the supplement of the turning angle:

  180° -110° = 70°

The law of cosines tells us the relation of the given sides (a, b) and angle (C) to the unknown side (c) is ...

  c² = a² +b² -2ab·cos(C)

  c² = 245² +270² -2·245·270·cos(70°) ≈ 87675.7350

  c ≈ √87675.7350 ≈ 296.10

The length of the lake is about 296.1 yards.

The equation to describe the total amount of money earned by Tovi is: t = 8h. The graph would be a straight line passing through the origin with a slope of 8.

An equation is a mathematical statement that shows that two expressions are equal. It contains an equals sign "=" and may contain variables, constants, and mathematical operations. The solution to an equation is the value of the variable that makes the equation true. Equations are commonly used in algebra and other areas of mathematics to solve problems and describe relationships between quantities.

Here,

The equation to describe the total amount of money earned by Tovi is:

t = 8h

Here, t represents the total amount earned in dollars, and h represents the number of hours spent mowing.

Table:

h t

0 0

1 8

2 16

3 24

4 32

Graph:

The x-axis can represent the number of hours spent mowing (h), and the y-axis can represent the amount earned in dollars (t).

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We need to know about translation, reflection and rotation to solve the problem. (1) We translate a triangle with respect to a horizontal and vertical direction. (2) We rotate a traingle about a given angle. (3) We refelct a triangle about a line of reflection which can be axis or vector.

(1) Translation of a triangle means changing it's position without changing the shape or size of the triangle. We translate a triangle with respect to a horizontal and vertical direction. We get the new triangle by adding the horizontal translation value to the x-coordinate and the vertical translation value to the y-coordinate.

(2) Rotation of a triangle is turning the triangle by an angle around a center point. When a triangle is rotated by 90° clockwise then (x,y) becomes (y,-x), when rotated by 90° anticlockwise (x,y) becomes (-y,x), when rotated by 180° clockwise or anticlockwise (x,y) becomes (-x,-y).

(3)Reflection of a triangle is finding a mirror like image of the triangle about  a line of reflection. The line of reflection may be either of the axes, a vector. To find the image we have to find the coordinates of the triangle that are of same distance from the line of reflection on the opposite side like they are from the original triangle.

Therefore we learnt about translation, reflection and rotation and saw that (1) Translation needs a horizontal and vertical direction for translating, (2) Rotation needs an angle of rotation and a center point and (3) Reflection needs a line of reflection.

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Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

Answer:

32

Step-by-step explanation:

ok told you ahhhhhhhhhhhh

Answer:

1/10 th

Step-by-step explanation:

Refer the attached photo.

Answer:

hello 10%

good luck

The p-value of 0.072 represents the probability of obtaining a sample mean length as extreme as 53 centimeters or more extreme (in the direction of being lower) under the assumption that the expected mean length is 50.5 centimeters.

In hypothesis testing, the p-value represents the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample, assuming the null hypothesis is true. In this case, the null hypothesis would be that the expected mean length of fish is 50.5 centimeters.

The appropriate test to determine if the expected mean length is low would be a one-sample t-test, comparing the sample mean (53 centimeters) to the hypothesized population mean (50.5 centimeters). The p-value of 0.072 indicates that there is a 7.2% chance of obtaining a sample mean length of 53 centimeters or more extreme (lower) if the true mean length is 50.5 centimeters.

The p-value of 0.072 suggests that there is some evidence (though not strong) that the expected mean length of 50.5 centimeters may be low based on the random sample of 100 fish with a mean length of 53 centimeters. However, it is important to note that the interpretation of the p-value depends on the significance level chosen for the test. If the significance level (commonly denoted as α) is set at 0.05, for example, the p-value of 0.072 would not be considered statistically significant, and the null hypothesis of a mean length of 50.5 centimeters would not be rejected.

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There are four main types of congruent angles formed in this scenario: Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles, and Vertical Angles.

Angles that are identical to one another are referred to as congruent angles. As a result, these angles have the same measure as one another. The congruence of angles is unaffected by the kind of angle, therefore they can be acute, obtuse, exterior, or interior angles.

Another unique quality of a rectangle is that it has four congruent angles, all of which are right angles. A unique kind of rectangle called a square is the other special case of a parallelogram. One of the most fundamental geometric forms is the square.

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Answer:

17

Step-by-step explanation:

From inspection of the given bar chart, the number of boys in each section is:

To find the average number of boys per section in class 8, sum the number of boys in each section and divide the result by 4.

\(\boxed{\sf Average=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}\)

\(\implies \sf Average=\dfrac{16+20+16+16}{4}=\dfrac{68}{4}=17\)

Therefore, there is an average of 17 boys per section in class 8 of Jagruti High School.

Answer:

17

Step-by-step explanation:

To find the average of something, we divide the total by the amount of sections/groups.

So we need to find the total number of boys and divide by the number of sections (4).

We can find the number of boys in each section by reading it off the chart:

8A: 16 boys

8B: 20 boys

8C: 16 boys

8D: 16 boys

So the total number of boys in class 8 is the sum of each section: 16+20+16+16=68

Divide this total by the number of sections (4) to get the average:

68/4=17

So the average number of boys per section in class 8 is 17.

The solution to the system of linear equations is the ordered pair that satisfies both equations in the system.

The system of linear equations can be solved by using one of the following methods: elimination, substitution, and graphing. In elimination, we can add or subtract equations to eliminate one of the variables.

In substitution, we can solve one equation for one variable and substitute it into the other equation. In graphing, we can plot the equations on the same coordinate plane and find their intersection point.
Once the solution is found, it can be checked by substituting the ordered pair into the original equations.

If the ordered pair satisfies both equations, then it is the correct solution.

If it does not satisfy one or both equations, then it is not a solution to the system of linear equations.

In conclusion, the solution to the system of linear equations is the ordered pair that satisfies both equations, and there are different methods to solve the system such as elimination, substitution, and graphing.

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Answer:

c!!!!!!!!!!!!!!!!!!!

Answer:

-2x=30y-6

2x+30y-6=0

Step-by-step explanation:

Answer:

En 2001 el pueblo poseía 45.826 habitantes.

Step-by-step explanation:

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:

13.578*1,5= 20.367

Por lo que en 1988 el pueblo poseía 20.367 habitantes.

En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:

20.367* 2,25= 45.825,75≅ 45.826

Por lo que en 2001 el pueblo poseía 45.826 habitantes.

Answer:

The total amount of tax is $7.84, so add that to $98 and you get $105.84 dollars total.

Step-by-step explanation:

Therefore, the equation for which g = 5 is not the solution is 4g = 20.

An equation is a mathematical statement that shows the equality between two expressions or values. It typically consists of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations can be used to solve problems or to describe relationships between quantities. They are commonly written in the form of "expression 1 = expression 2" or "expression 1 - expression 2 = 0", where the goal is to find the value(s) of the variable(s) that make the equation true.

To check for which equation g = 5 is not the solution, we can substitute g = 5 into each equation and see which ones result in a false statement.

\(8g = 40\)

Substituting g = 5 gives: 8(5) = 40, which is true. Therefore, g = 5 is a solution to this equation.

4g = 20

Substituting g = 5 gives: 4(5) = 20, which is false. Therefore, g = 5 is not a solution to this equation.

g - 2 = 3

Substituting g = 5 gives: 5 - 2 = 3, which is true. Therefore, g = 5 is not a solution to this equation.

2g = 25

Substituting g = 5 gives: 2(5) = 25, which is false. Therefore, g = 5 is not a solution to this equation.

Therefore, the equation for which g = 5 is not the solution is 4g = 20.

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Answer:

7

Step-by-step explanation:

\(s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7\)

Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:

Solving the above equation for x, we get:

Rounding up to the nearest whole number we get:

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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Answer

The interval of increase of the given function is x > -2.5.

This can be written in interval form as (-2.5, ∞)

Explanation

The interval of increase of the function refers to the range of values of the independent variable (x), where the graph is sloping positively, that is, the region of the graph that shows where the dependent variable (y) is increasing.

From the graph, we can see that the graph slopes negatively, that is, the values of y keep decreasing as we move from left to right at values of x less than -2.5, but at the point where x = -2.5, the sloping changes (this point is called the vertex of the graph or function; it is the point where the graph changes from increasing to decreasing or from decreasing to increasing).

We can also see that at values of x greater than -2.5, the graph slopes positively and the values of y increases as we move from left to right.

So, the interval of increase of the given function is x > -2.5.

This can be written in interval form as (-2.5, ∞)

Hope this Helps!!!

We have:

Image of book on website

Wide = 1.5 inches

Tall = 3 inches

Actual book

Wide = 9 inches

Tall = ?

a) Scale used for the image:

Answer: scale = 6 inches

b) Tall actual book

Answer: tall = 18 inches

ANSWER:

1. translation: 3 units right and 1 unit down

2. 130°

Answer:

t = 30

Step-by-step explanation:

\(\frac{6}{1} = \frac{t}{5}\)

you can tell you need to multiple by 5 from the denominators. 1 *5 = 5. Then, just multiply 6 by 5 and get 30.

A) The percentage represented in each picture is as follows:

A-1) 80%

A-2) 12.5%

A-3) 10%

B) The portion represented in each picture is written as a fraction as follows:

B-1) 80% = 8/10 or 4/5

B-2) 12.5% = 1.25/10 or 1/8

B-3) 10 = 1/10 or 2/20

A percentage is a fraction of 100.

A percentage is also a ratio, showing how much of the whole is contained by the portion.

Percentages are written with the percentage sign (%).

A-1) 80% for A 10 by 10 block of 100 where 8 columns of 10 are shaded.

A-2) 12.5% for A 10 by 10 block of 100 where the first row, and 2 and a half squares of the second row are shaded.

A-3) 10% for A 10 by 10 block of 100 where 1 row of 10 is shaded.

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First, calculate the difference in cost between buying 3 pounds of chicken across town and buying it in your neighborhood.

This is $0.90

Then, the distance between the two places is

The difference in distance is 5.2 miles.

Find the number of gallons needed to drive 5.2 miles,

Then, multiply the number of gallons by the cost per gallon of gas, as shown below

Then, the total savings are

Answer:

4 lb

Step-by-step explanation:

Answer:

p = 14

Step-by-step explanation:

\(\frac{-18+p}{2} =-2\)

1st, we should get rid of the denominator by multiplying 2 on both sides

\(\frac{-18+p}{2}*2 =-2*2\\\\-18+p=-4\)

Then, we just add 18 on both sides to isolate p

\(-18+18+p=-4+18\\p=14\)

Answer:

p = 14

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

\(\displaystyle \frac{-18 + p}{2} = -2\)

Step 2: Solve for p

Topic: Algebra I