B) State whether the given pairs are complementary, supplementary or neither.
1) 25°, 155°

2) 46°, 44°

3) 68°, 108°

4) 180, 72⁰

6) 19⁰, 161°

5) 320, 58⁰.

Answer:

27600x10^10

Step-by-step explanation:

[tex]-3x^3 +12x^2 -15x +6\\\\=-3(x^3 -4x^2 +5x-2)\\\\=-3(x^3 -2x^2-2x^2 +4x+x-2)\\\\=-3\textbf{[} x^2(x-2) -2x(x-2)+ (x-2)\textbf{]}\\\\=-3(x-2)(x^2 -2x +1)\\\\=-3(x-2)(x-1)^2[/tex]

The results of factoring are presented below for each algebraic expression.

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: y²-y= y(y-1), where y is a common term.

You should apply the factor out a common term for solving the question.

       x(x+2) + y (x + 2) - 5(x + 2)

       x²+2x+xy+2y-5x-10

      x²-3x+xy+2y-10

      x(x-3)+y(x+2)-10

        [tex]5y^2 - 10y^3[/tex]

        5y²(1-2y)

        ax+ay+az

        a(x+y+z)

        yx(y+1) + 4x(y + 1) - 5(y + 1)

       xy²+xy+4xy+4-5y-5

       xy²+5xy-1-5y

       y(xy +5x-5)-1

        [tex]6p^2 - 3p^3[/tex]

       3p²(2-p)

        [tex]4x^4 + 2x[/tex]

        [tex]2x(2x^3+1)[/tex]

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Answer:

A

Step-by-step explanation:

h(x) = 2x² + 15 = 2×f(x) + 15

so, every y value of f(x) is multiplied by 2, and that means the whole curve is stretched up and down (vertically).

and then we add constantly 15 to every y value. that moves then the previous stretched result up by 15 units.

Answer:

a = -2

Step-by-step explanation:

I graphed the given point (2,7) and then I used that point and plugged the point and the slope into the point-slope formula, which is (y-y₁)=m(x-x₁). Then, I just looked for where x=5 on the line and it was -2

Answer:

x = 25 - y = 2

Step-by-step explanation:

Let x represent the number of item A that you sold.

Let y represent the number of item B that you sold.

The total number of item A and item B sold is 25. This means that

x + y = 25

The cost of item A is $3, the cost of item B is $4 and if the total amount of money made is $88, this implies

3(x) + 4(y) = 88 (Substitute x = 25 - y)

→ 3(13 - y) + 4y = 88

→ 39 - 3y + 4y = 88

→ 39 + y = 16

→ y = 23

If y = 23, then x = 25 - y = 2

Step-by-step explanation:

mx=n

⟹x=mn

Since m and n are both negative, x=mn will be positive.

Hence, the solution of mx=n will be a positive number.

other sulotion :-

Using the cosine rule, the measure of the triangles is a = 51, b = 21, c = 68, A = 30.37°, B = 12.02° and C = 137.61°

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is given as:

a² = b² + c² - 2bc * cosA

Given that a = 51, b = 21, c = 68, hence:

51² = 21² + 68² - 2(21)(68) * cosA

A = 30.37°

21² = 51² + 68² - 2(51)(68) * cosB

B = 12.02°

68² = 21² + 51² - 2(21)(51) * cosC

C = 137.61°

Using the cosine rule, the measure of the triangles is a = 51, b = 21, c = 68, A = 30.37°, B = 12.02° and C = 137.61°

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[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]

[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]

Using it's concept, it is found that the experimental probability that the first vehicle rented today will be a pickup truck is of 0.5 = 50%.

A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, we have that out of 4 vehicles, 2 are pickup trucks, hence the experimental probability is given by:

p = 2/4 = 1/2 = 0.5.

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The most appropriate statement is the interquartile range for the Wolverines, 30 is less than the IQR for the panthers, 40.

The box plot is used to show the distribution of data. The box plot can be used to determine the range, interquartile range and median of the data set.

The range is the difference between the two ends of the whiskers.

Range for the Wolverines = 96 - 35 = 61

Range for the Panthers = 107 - 33 = 74

The interquartile range is the difference between the first and third lines on the box

IQR for the Wolverines = 85 - 55 = 30

Range for the Panthers = 90 - 50 = 40

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Answer:

see explanation

Step-by-step explanation:

since the triangles are congruent , then corresponding sides and angles are congruent.

(1)

Δ HIJ ≅ Δ LMN

sides           angles

---------         -----------

HI ≅ LM        ∠ H ≅ ∠ L

HJ ≅ LN         ∠ I ≅ ∠ M

IJ ≅ MN          ∠ J ≅ ∠ N

(2)

Δ XYZ ≅ Δ JKL

sides            angles

--------          ------------

XY ≅ JK        ∠ X ≅ ∠ J

XZ ≅ JL        ∠ Y ≅ ∠ K

YZ ≅ KL        ∠ Z ≅ ∠ L

Answer:

1. ΔHIJ ≅ ΔLMN

2. ΔXYZ ≅ ΔJKL

Step-by-step explanation:

I believe it's asking to list the corresponding sides and pairs of angles in the congruent triangles.

Look at the order of the letters HIJ and LMN. There are 3 letters, which represent 3 sides and 3 angles. The first, second, and third letters of the first triangle correspond to the first, second, and third letters of the second triangle.

1. ΔHIJ ≅ ΔLMN

2. ΔXYZ ≅ ΔJKL

Using the hypergeometric distribution, it is found that there is a 0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that the values of the parameters are:

N = 10, k = 4, n = 2.

The probability that both are green is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,10,2,4) = \frac{C_{4,2}C_{6,0}}{C_{10,2}} = 0.1333[/tex]

0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.

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Answer:

1)526 kw

2)1943 m³

3) 33

4) 43 m³

5) 5010 kw

Step-by-step explanation:

1) 7675-7149= 526

2) 462+ 1481= 1943

3) 168-135 = 33

4) 1499 -l456= 43

5) 4945+65= 5010

Answer:

9

Step-by-step explanation:

5*x=15

X=3

3*3=9

[tex]\\ \rm\dashrightarrow \dfrac{5}{3}=\dfrac{15}{x}[/tex]

[tex]\\ \rm\dashrightarrow 5x=45[/tex]

[tex]\\ \rm\dashrightarrow x=\dfrac{45}{5}[/tex]

[tex]\\ \rm\dashrightarrow x=9[/tex}

Answer:

E. 5,040

Step-by-step explanation:

For plato users

Answer:

16*14*1/2

Step-by-step explanation:

The area of a triangle can be found in 1/2bh.

Therefore, 16 is our base, and 14 is our height.

16*14*1/2 should be your answer, from the choices that I see.

Answer:

[tex]\frac{1}{2} *14*16[/tex]

Correct Answer 100%. Pls. give me brainliest. Thank You.

The area of a 2D form is the amount of space within its perimeter. The total surface area of the square pyramid is 40 meters².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Henri built a lantern in the shape of a square pyramid. He wants to cover the entire pyramid with fabric. Therefore, the amount of fabric that Henri will need is equal to the total surface area of the square pyramid.

Total surface area = Area of the base + 4(Area of the triangle)

                               = (4m × 4m) + 4(0.5×4m×3m)

                               = 16 meters² + 24 meters²

                               = 40 meters²

Hence, the total surface area of the square pyramid is 40 meters².

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Answer:

All

Step-by-step explanation:

I done this question before

Answer:

x = 0

Step-by-step explanation:

The slope relation is given as :

y = mx + b

Now, if we take x = 0, there is no way of finding out the value of m as the product of mx will be equal to 0.

Hence, x = 0 represents a line with undefined slope.

if the guppies are doubling, that means whatever they were yesterday, today is 100% more, so the rate of growth is 100%.

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=4(1 + 1.)^{t}\implies A=4(2)^t~\hfill \stackrel{\textit{after 4 days, t = 4}}{A=4(2)^4}\implies A=64[/tex]

The answer choices which could be a constraint to the scenario are;

It follows from the task content that the scenario is modelled by means of a system of inequalities. However, only the variables in the model can be constrained and hence, only time and depth factors could be part of the constraints.

On this note, the constraints area as indicated above.

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Answer:

A

Step-by-step explanation:

A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?

The pool is 1 meter deep.

The pool is 2 meters deep.

The toy falls at a rate of at least a Negative one-half meter per second.

The toy sinks at a rate of no more than a Negative one-half meter per second.

Answer:

3

Step-by-step explanation:

there are 16 ounces in a pound

so that means that 5 pounds (lbs) equals 80 ounces, you find this out by multiplying 16 and 5.

to find out how many batches are in a 5lb container then you just divide 80 and 24 which equals... 3.333333 but you just need to round it.

Answer:

Yes, it is because the triangles are about the same shape.

Step-by-step explanation:

Answer: Yes, it is because the triangles are about the same shape. So I think they are congruent.

Answer:

Mean = 23

Median = 24

Mode = 24

Step-by-step explanation:

Mean:  The sum of all data values divided by the total number of data values.

⇒ Mean = (24 + 20 + 26 + 24 + 21) ÷ 5 = 23

Median:  The middle value when all data values are placed in order of size.

Ordered data values:  20, 21, 24, 24, 26

⇒ Median = 24

Mode:  The most frequently occurring data value.

20, 21, 24, 24, 26

⇒ Mode = 24