You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent

The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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Answer:

1 hr 55 mins

Step-by-step explanation:

50 mins between 12:10 and 1:00 p.m.

Add 5 mins to change 2:05 to 2:00.

55 mins and 1 hr

The probability of selecting a student from the class who is a pet owner or prefers cats to dogs is; 0.4

In probability, If events A and B are not mutually exclusive, then the probability of A or B is expressed as;

p(A or B) = p(A) * p(B).

Total number of students = 26

Total number of students that are pet owners = 18

Total number of students that prefers cats to dogs = 26 - (8 + 3) = 15

Thus;

P(pet owner) = 18/26

P(prefers cats to dogs) = 15/26

P(Pet owner or prefers cats to dogs) = (18/26) * (15/26)

= 0.4

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(-5,-5) a solution to the system 1 which is x + y = -10.

An approach of pinpointing a point's location on the planet is to use a coordinate system. To pinpoint a point's location, most coordinate systems use two numbers, called a coordinate. Each of these numbers represents the distance between the point and the origin, a fixed point of reference. How far left or right the point is in relation to the origin is indicated by the first integer, also referred to as the X value. How much above or below the origin the point is can be determined by the second integer, called the Y value. The origin is located at the coordinates 0, 0.

Because they indicate locations on a sphere or globe, longitude and latitude belong to a specific category of coordinate systems called spherical coordinate systems.

The reason is that if we put the values of x and y in the given equation it results up to be the same for the first one .

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Answer:

The answer is C/85,000

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

So we know that P(x) is a polynomial.

We also know that:

\(P(-5)=-2\text{ and } P(5)=-1\)

And we want to find the remainder when P(x) is divided by (x+5).

To do so, we can use the Polynomial Remainder Theorem.

The theorem states that if a polynomial f(x) is divided by (x-a), then the remainder will be f(a).

So, we are dividing our polynomial P(x) by (x+5).

(x+5) is the same as (x-(-5)).

Therefore, our remainder will be the same as P(-5).

As given, P(-5) is -2.

Therefore, our remainder is -2.

Our answer is choice D.

Answer: a < -2

Step-by-step explanation:

a - 2 < -4

a < -4 + 2

a < -2

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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-63. Hope this helps!

Can have brainliest?

Answer:

-63

Step-by-step explanation:

If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.

Answer:

000000000792

Step-by-step explanation:

000000000

Answer:

\(x^2 + 7x + 10\)

Step-by-step explanation:

Use distributive property: (x+5)(x+2) = x^2 + 5x + 2x + 10

Combine like terms: x^2 + 7x + 10

Hope this helps :)

Have a nice day!

Answer:

\(x^{2} +7x+10\)

Step-by-step explanation:

(x+5)(x+2)

x(x+2)+5(x+2)

x^2+2x+5(x+2)

x^2+2x+5(x+2)

x^2+2x+5x+10

x^2+7x+10

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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Answer:

A.

A math error was made when computing the total shipments for day 4.

Answer: Im guessing it has no term

Step-by-step explanation:

hope its right let me know its right

Answer:

z=89

Step-by-step explanation:

42+z=131

take 42 away from both sides

z= 89

Answer:

z = 89

Step-by-step explanation:

42 + z = 131

z = 131 - 42

z = 89

Step-by-step explanation:

a) factorize A

A = (2x-1)²+2(3-6x)(4x-7)-4x²+1

expand the terms

(2x-1)²-52x²+108x-41

factorize

(2x-1)²-(26x-41)(2x-1)

factor out the common factor 2x-1

-(2x-1)(24x-40)

A = -8(2x-1)(3x-5)

b) show that B = (3x-11)(2x-1)

6x²-25x+11

6x²-3x-22x+11

3x(2x-1)-11(2x-1)

(2x-1)(3x-11)

c) Expand and reduce A

(2x-1)²+2(3-6x)(4x-7)-4x²+1

-48x²+108x-40

d) Calculate A for x=0 and x=-1

when x=0 -48(0)²+108(0)-40

A=0

x=-1 -48(-1)²+108(-1)-40

A=-196

e) Reduce 2A-3B

A=-48x²+108x-40 B=6x²-25x+11

2(-48x²+108x-40)-3(6x²-25x+11)

-96x²+216x-80-18x²+75x-33

-144x²+291x-113

f) Factorize 2A-B

A=-48x²+108x-40 B=6x²-25x+11

2(-48x²+108x-40)-(6x²-25x+11)

-96x²+216x-80-6x²+25x-11

-102x²+241x-91

x=(241 + sqrt(20953))/204

x=(241 - sqrt(20953))/204

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The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Linear equations are two-variable equations that graph as a straight line.

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.

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Answer:

a) Mean = 20.23 million dollars.

b) Median = 14.1 million dollars.

c) Mode = non-existent for this distribution.

d) Midrange = 22.65 million dollars.

- Given that these are the top 10​ salaries, do we know anything about the salaries of TV personalities in​ general?

Answer - Since the sample values are the 10 highest, they give almost no information about the salaries of TV personalities in general.

- Are such top 10 lists valuable for gaining insight into the larger​ population?

Answer - No, because such top 10 lists represent an extreme subset of the population rather than the larger population.

Step-by-step explanation:

The question is incomplete, the top 10 salary data, in millions of dollars, was obtained online to be

8.3, 9.2, 9.8, 12.1, 13.5, 14.7, 26.5, 34.7, 36.5, 37

a) Mean

The mean is the sum of variables divided by the number of variables

x = each variable

N = number of variables = 10

Mean = (Σx)/N

Σx = 8.3+9.2+9.8+12.1+13.5+14.7+26.5+34.7+36.5+37 = 202.3

Mean = (202.3/10) = 20.23 million dollars

b) Median

The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order. For an odd-numbered dataset, it is simply the middle number, but for an even-numbered dataset, it is the average of the two middle numbers.

The distribution, arranged in ascending order is 8.3, 9.2, 9.8, 12.1, 13.5, 14.7, 26.5, 34.7, 36.5, 37

The two middle numbers are 13.5 and 14.7

Median = (13.5+14.7)/2 = 14.1 million dollars

c) Mode

The mode is the variable that occurs the most in a distribution. It is the variable with the highest frequency in the distribution.

For this distribution of the top 10 salaries for TV personalities, all the variables occur only once, with no variable appearing more often than another. Hence, there is no more for this distribution.

d) Midrange

The midrange is the average of the highest and lowest variables in a distribution. It is the midpoint of the range, hence, it is arithmetic mean of the highest and lowest variables of the distribution.

Highest value = 37

Lowest value = 8.3

Midrange = (37+8.3)/2 = 22.65 million dollars

Given that these are the top 10​ salaries, do we know anything about the salaries of TV personalities in​ general?

Since the sample values are the 10 highest, they give almost no information about the salaries of TV personalities in general. For all we know, the top 10 highest salaries can be very far away from the day if the distribution, or the rest of the distribution can just be the same number over and over again, no way to know that from just the data of the top 10 salaries for TV personalities.

Are such top 10 lists valuable for gaining insight into the larger​ population?

No, because such top 10 lists represent an extreme subset of the population rather than the larger population

Hope this Helps!!!

Answer:

Rational

Step-by-step explanation:

First tip with numbers... All whole numbers are rational and all numbers, rational or irrational are real numbers. Rational numbers consist of whole numbers, integers, fractions, and so on... While irrational numbers are numbers that can't be simplified to a basic whole number or fraction like 36.

Pi (π) is an example of an irrational number.

36 is an example of a rational number.

Hope you get it now! :)

The graph that represents the given piecewise function has a range of

R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).

A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.

The range of the piecewise function is the union of all the ranges of the subfunctions.

The given piecewise function is

g(x) = x², x < 0

      = 1/2 x, 0 < x ≤ 4

      = x, x > 4

The domain and range for the subfunctions in the given piecewise function are:

for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)

for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]

for g(x) = x; Domain is {x > 4} and Range is (4, ∞)

Then, the range of the given piecewise function is

Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)

Thus, the graph shown in the question is the correct one.

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Answer: c, its da 3rd graph

Step-by-step explanation:

The equation of the new path is y = -1/2x - 4

The equation is given as:

y = 2x - 7

A linear equation is represented as:

y = mx + c

Where m represents slope

This means that:

m = 2

Let the slope of the perpendicular equation be n.

The condition of perpendicular lines is

n = -1/m

So, we have:

n = -1/2

The equation of the new path is then calculated using:

y = n(x - x1) + y1

So, we have:

y= -1/2(x + 2) - 3

Expand

y = -1/2x - 4

Hence, the equation of the new path is y = -1/2x - 4

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Answer:

B

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , so

∠ c + 56° + 38° = 180°

∠ c + 94° = 180° ( subtract 94° from both sides )

∠ c = 86°

Given:

The area of the projection is

The width of the projection is w =(x-4) feet.

Let l be the height of the projection.

The shape of the projection is a rectangle.

Consider the formula for the area of the rectangle.

Cancel out the common factor.

Hence the height of the projection is (x-8).

b)

Given:

Height of the wall x=10 ft.

We know that the width of the projection w =(x-4) and height of the projection l=(x-8).

Substitute x=10 in the equation l and w, we get

Consider the perimeter of the rectangle.

Substitute l=2 and w=10 in the formula, we get

Hence the perimeter of the projection is 16 ft when the height of the wall is 10 ft.

Answer:

How many grams are in 2.2

kilograms?

The solution is

Step-by-step explanation:

There are 2,200 grams in 2.2 kilograms.

There are 1,000 grams in one kilogram.

So, to convert kilograms to grams, you multiply the number of kilograms by 1,000.

To find out how numerous grams are in2.2 kilograms, you would multiply 2.2 by 1,000

So, 2.2 kilograms x 1,000 grams/ kilogram

= 2,200 grams

So, there are 2,200 grams in 2.2 kilograms.

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Answer:

is the comma supposed to be a decimal point?

Step-by-step explanation:

27,000

7 is in the ten thousandth place, and four is next to it. you would look at the number next to the seven and if the number is five or more, you would change the seven to an eight but since the number is four or less, it stays the same.

Answer:the second one

Step-by-step explanation: