Angles A and B are complementary. If the measure of ∠A is 20°, what is the measure of ∠B?

The value of x in reduced fraction form is 3/2.

A fraction is a value written in the form of a quotient which has an upper number called numerator and lower called denominator. It represents a part of a whole.

8|6x−6|=24        (given equation)

|6x-6| = 24/8

|6x-6| = 3

6x = 3+6

6x = 9

x = 9/6   ( To reduce divide both the terms with 3 that is a common factor)                                                                                                    

x = 3/2

Therefore, we can conclude that the value of x in reduced fraction is 3/2.

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Let:

The two right angle measure is 120° and 60° and 140° and 40° .

In mathematics and trigonometry, a right angle is a quarter-turn or an angle that is exactly 90 degrees or π/2 radians . If a ray is positioned so that its terminal is in a line and they are equal, the adjacent angles represent right angles.

Orthogonality, which refers to the property of producing right angles, and perpendicular lines, which are defined as lines that intersect at right angles, are important and closely related geometrical concepts.

The existence of a feature resembling a right angle, which distinguishes right triangles, makes all right angles a fundamental notion in trigonometry.

We know that a right angle is equal to 90° .

Hence 2 right angles = 90° × 2 = 180°

Now we will use the options to check if they add up to 2 right angles or 180°

120° + 60° = 180°

140° + 40° = 180°

Therefore they are he required options that satisfy the given condition.

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Given:

The data set = 11, 8, 11, 8, 7, 9, 4.

The number of the data =7.

Aim:

We need to find the mean and median of the given data set.

To find:

We know that

Substitute known values.

Rewrite the given data in terms from least to greatest.

4, 7, 8, 8, 9, 11, 11

We know that the median is the middle term of the data set.

The median = 4th term

Final answer:

Answer:

B

explanation

I just did it on a paper

Answer:

See below

Step-by-step explanation:

(x,y)  which is   (3, -9)    will change to  ( y, -x ) = ( -9,-3)

this is:

grade = g, so

The equation solved for the variable p is p = √Qt + r

A subject of formula can simply be defined as the variable in an equation or given expression that is being worked out.

The subject is mostly made to stand on its own on one end of the equality sign.

It is also described as the variable mathematical written in terms of other variables found in an equation or expression.

Given the expression;

Q = p^2 - r / t

To solve for , we take the following steps

cross multiply

p^2 - r  = Qt

Now, collect the variable 'r' over the equality sign, we have;

p² = Qt + r

Now, to make 'p' stand alone, find the square root of both sides

√p² = √Qt + r

p = √Qt + r

Hence, the expression is p = √Qt + r

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In that case we must perform the division (16÷8) before multiplication as the rules says that we must work from left to right in case of only having multiplications and divisions.

So the answer is the first option.

When solving the quadratic equation x² + 4x + 3 = 0 we get:

x = -1 and x = -3 .

                             a(x + m)² + n.

Here given an equation,

x² + 4x + 3 = 0

(x² + 4x +4) + (-4 + 3) =0

(x² + 4x + 4 ) = 1

(x + 2)² = 1

x + 2 = ±√1

x + 2 = ± 1

x + 1 = 0

x + 3 = 0

x = -1

x = -3

The answers are underlined.

By solving the equation x² + 4x + 3 = 0 we get x = -1 and x = -3.

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The price of an ice cream, as calculated with the help of given function is 3.5

What is function in mathematics?

A function is a relationship between a set of inputs and a set of permitted outputs, and it has the property that every input is connected with exactly one output. If every element in set A has one end and only one image in set B, then the mapping from set A to set B is merely a function. Choose any two non-empty sets for A & B.

In order to get price of 1 ice cream, we will first calculate the amount left after purchasing 2 ice creams and the amount left after purchasing 1 ice cream with the help of given function. then we will do subtraction to get the answer.

The amount left after purchasing 2 ice creams:

given function is: g(c)=75-3.5c

putting c = 2

g(2) = 75 - 3.5(2)

g(2) = 68

So, the amount left after purchasing 2 ice creams.

The amount left after purchasing 1 ice cream1:

given function is: g(c)=75-3.5c

putting c = 1

g(2) = 75 - 3.5(1)

g(2) = 71.5

So, the amount left after purchasing 1 ice cream.

Subtracting the amount left after purchasing 2 ice cream from the amount left after purchasing 1 ice cream.

71.5 - 68

= 3.5

Hence, the price of an ice cream is 3.5.

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The equation of the line is y - 10 = 3(x - 2)

Linear equations are equations that have constant average rates of change.

The given parameters are

Points (x, y) = (1, 7) and (2, 10)

Start by calculating the slope of the line using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (1, 7) and (2, 10)

So, we have

Slope = (10 - 7)/(2 - 1)

Evaluate

Slope = 3

A linear equation is represented as

y - y₁= slope * (x - x₁)

Where

(x₁, y₁) = (2, 10)

Substitute (x₁, y₁) = (2, 10) and Slope, m = 3 in the equation

So, we have

y - 10 = 3* (x - 2)

Evaluate

y - 10 = 3(x - 2)

Hence. the linear equation is y - 10 = 3* (x - 2)

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ANSWER:

x = 4 and y = -2

STEP-BY-STEP EXPLANATION:

We have the following system of equations:

To use the elimination system, we only have to add both equations, like this:

The value of x is 4 and the value of y is -2

By algebra properties, the simplified form of (c³ · d²)⁴ is equal to c¹² · d⁸. (Correct choice: B)

In this problem we find the power of the product of two powers whose variables are c and d and which must be simplified by using algebra properties. The complete procedure is shown below:

The simplified form of the algebraic expression is c¹² · d⁸.

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Answer:

Explanation: The diagram of the alpha and the beta angles is as follows:

the angles are as follows:

Therefore the answer is:

The given quadratic equation is;

This can be written properly as;

The discriminant is used to test for nature of roots of a quadratic equation and it is given by the equation;

From the given quadratic equation;

Thus, the discriminant will be;

Since the discrimiant has a value(-7) less than zero(0), thus it has two(2) complex roots.

Hence, the correct option is option B

Given

The sequence (1,4,7,10,...).

To graph the function f(n) on the coordinate plane, where f is a function that describes the sequence.

Explanation:

It is given that,

The sequence is, (1,4,7,10,...).

Since, the given sequence is an arithmetic sequence.

Then,

The first term of the sequence is 1.

The common

In any experiment, all the possible out comes are well defined. So,

A process for which its result is well defined is called a/an experiment.

Answer: Experiment

The rate of change between a and b is -5, and between x and x + h is also -5.

For a function f(x) the formula for the rate of change on an interval [a, b] is:

( f(b) - f(a))/(b - a)

so if the function is f(x) = -5x - 8, the average rate of change will be:

( -5b - 8 + 5b + 8)/(b - a) = 5*(a - b)/(b - a) = -5

c) Now we want to use the interval [x, x + h], we will get:

( -5*(x + h) - 8 + 5*x + 8)/(x + h - x)

= (-5h)/h = -5

Again, the rate is -5

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The image after a reflection in the line x = -1 exists J(2, -1), K (4, -5) and L (3, 1) then of the reflection exists J' = (2, -1), K' = (4, -5) and L' = (3, 1).

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure exists said to reflect the other figure when they exists all equally spaced apart from one another.

When a shape exists reflected, it must be reflected across a line.

The coordinates are given as:

J(2,-1), K (4,-5) and L (3,1)

The rule of reflection across the y-axis exists:

(x, y) [tex]$\rightarrow[/tex](-x, y)

So, the image of the reflection exists:

J' = (2, -1)

K' = (4, -5)

L' = (3, 1)

Therefore, the reflection exists J' = (2, -1), K' = (4, -5) and L' = (3, 1).

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To solve for the value of 3/5x, we can start by distributing.

-86 = 4 + 5(3x - 3) → -86 = 4 + 15x - 15

-86 = 15x - 11

-86 = 15x - 11 → -75 = 15x

-75 = 15x → -5 = x

Therefore, x = -5.

To find the value of 3/5x, we can plug in -5 for x.

3/5(-5) = -3

Hence, the value of 3/5x is -3.

Answer:A

Step-by-step explanation:

If y=1/2x and 3y=x-2 then value of x is -4 and y is -2.

Two or more expressions with an equal sign is called as Equation.

y=1/2 x...(1)

3y=x-2 ...(2)

Multiply equation (1) with 3

3y=3/2x

Now subtract the above equation from 2

3y-3y=x-2-3x/2

Take 2 as LCM on right hand side.

0=2x-4-3x

Add common terms

0=-x-4

Add x on both sides

x=-4

Now substitute value of x in 1 to get value of y

y=1/2(-4)

y=-2

Hence value of x is -4 and value of y is -2.

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0.23% probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.

What is Central Limit Theorem ?

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean μ and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s.

The central limit theorem will be used to find the probability (as a decimal) that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.

Now we use the sampling distribution of the sample proportions, which have:

μ = p = 0.54

s = √{(p(1-p)/n)}

s =  √{(0.54x0.46)/555)}

s = 0.0212

The probability is the p-value of Z when X = 0.48. So

Z = (X- μ)/σ

By the Central Limit Theorem

Z = (X- μ)/s

Z = (0.48-0.54)/ 0.0212

Z = -2.84,  has a p-value of 0.0023.

0.0023 x 100% = 0.23%

This, 0.23% probability that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years.

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EXPLANATION

Given the triangle ABC,

We can see that after a rotation 90 degrees counter-clockwise about the origin, the new coordinates are:

A'=(-4,2) B= (-6,5) C=(-4,7)

The correct statement that supports the given data is; B: fertilized plants and unfertilized plants died at the same rate

Death rate is defined as the total number of deaths during a given time interval.

Now, we are given the following;

Total Number of Plants = 1000 plants

Total number of fertilized plants that lived = 200

Total number of fertilized plants that Died = 50

Total number of unfertilized plants that lived = 600

Total number of unfertilized plants that died = 150

Now, from the above it means that;

Death rate of fertilized plants = 50/250 = 0.2

Death rate of unfertilized plants = 150/750 = 0.2

Survival rate of fertilized plants = 200/250 = 0.8

Survival rate of unfertilized plants = 600/750 = 0.8

The death rates in both cases are equal

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To determine how much fence is needed to fence the yard, you have to calculate the perimeter of the yard.

The yard is rectangular with dimensions 65ft by 32ft. To calculate the perimeter you have to add twice the length and twice the width:

The perimeter of the yard is 194ft.

Next, you have to express the perimeter in meters to determine how much fence he must buy.

1foot = 0.3048meters

To express the result in meters you have to multiply it by 0.3048:

The perimeter of the yard is 59.13 meters, round it to the next whole number, so he needs to buy 60 meters of fence.

Answer:

The perimeter of the yard is 59.13 meters, round it to the next whole number, so he needs to buy 60 meters of fence.

Step-by-step explanation:

Volume of rectangular prism with length 8.5 inch , width 4.25 and

height 3 inch is :

108.38 cubic inches

                         Volume = l x w x h

     Here given,

           l = 8 .5 inch

           w = 4.25 inch

           h = 3 inch

    To find volume ,

                   Volume = l x w x h

                                 = 8.5 x 4.25 x 3

                                 = 108.375 cubic inches

                                 = 108 .38 cubic inches

So the volume of rectangular prism is 108 .38 cubic inches .

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From the equation of the line, the y-intercept is the point (0, -2) and its slope is m = 5

To graph this line, first, we need to find the point (0, -2), and then we need to find another point of the line, we can do that with the help of the slope, as follows:

(0+1, -2+5) = (1, 3)

Next, we have to connect these two points

You need to know what makes that

triangle ABC being similar to triangle DEF by A (angle) A (Angle) S (side)

It means that triangle DEF needs to have two similar angles with ABC and one similar angle with ABC that side has to be the non-included side:

Then:

The non-include side in:

ABC are BC and AC

DEF are DF adn EF

To make

You need:

Answer:

Step-by-step explanation

answer is f(x)=6x