This figure has two intersecting lines and a ray. What is the value of x? What is the measure of the angles? I NEED FULL DETAIL

a. To convert the number 7/9 to a decimal we need to solve the division:

Thus, 7/9 as a decimal number is 0.778.

To convert it to a percent, multiply the decimal form by 100%:

b. To write the numbers from least to greatest we need to convert these fractions to the same denominator, we can do it by multiplying the fractions 6/8 and 7/8 by 9/9 and the fraction 7/9 by 8/8, as follows:

Thus, in order from least to greatest it is: 54/72 , 56/72 , 63/72.

This order corresponds to:

6/8 , 7/9 , 7/8

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 working with scales, we can find the measures by using the rule of three.

From the scale, we know that 1/2 in corresponds to 1 ft, so, the rule of three is:

1/2 in --- 1ft

4 in --- x

Where "x" is the size of the line in feet repreented by the 4 in line in the drawing.

So, we cross multiply to get the equation:

Thus, this lines represents a size of 8 ft.

Answer:

Explanation:

Given the equation;

We want to make q the subject of formula;

firstly, let's subtract 3p from both sides;

Then let us divide both sides by the coefficient of q;

Therefore, making q the subject of formula;

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:

161/8

Step-by-step explanation:

all the work is in the pic below sorry if I am wrong

have a nice day:)

Answer:

20 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

multiply 5 [tex]\frac{3}{4}[/tex] × 3 [tex]\frac{1}{2}[/tex] ( change to improper fractions )

= [tex]\frac{23}{4}[/tex] × [tex]\frac{7}{2}[/tex]

= [tex]\frac{23(7)}{4(2)}[/tex]

= [tex]\frac{161}{8}[/tex]

= 20 [tex]\frac{1}{8}[/tex]

ANSWER

73.5 in²

EXPLANATION

To find the surface area, we have to find the area of one face - one of the squares of the diagram - and then multiply that by 6 - because cubes have 6 faces.

The area of one face is:

The surface area of the box is:

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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We have the next given information:

- inlet pipe fill rate = 1/20 = 1job/hour

-The drain pipe empty rate = 1/45 job/hour

- The pool is 1/3 filled, then we need to fill 2/3.

If both are open, we have the next combined rate:

Combined rate =1/20 - 1/45 = 25/(20*45) = 25/900=1/36 = 1job/hour

Now,we need yo use the next equation:

rate * time = work done

Set x for time.

Replacing:

1/36 * x = 2/3

Multiply both sides by 36:

Hence, it will take 24 hours to fill the pool

ANSWER

5

EXPLANATION

We want to find the outlier in the data set given.

An outlier is a data point whose value is abnormal or incoherent with other values in the same data set.

That means that it's value does not tally with the other values in measure.

Therefore, the outlier from the data set is 5.

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)

A and B are Vertical Angles and are thus congruent.

A = B
3y - 24 = 51
3y - 24 + 24 = 51 + 24
3y = 75
3y/3 = 75/3
y = 25

We can solve for A, but we already know A = B and B = 51, so A = 51.

C and D are also Vertical Angles. Since these angles go all the way around, they add up to 360.

51 + 51 + C + D = 360
C = D
C = x
D = x
D + C = 2x
102 + 2x = 360
102 - 102 + 2x = 360 - 102
2x = 258
2x/2 = 258/2
x = 129

C = 129
D = 129

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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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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Let x be the number

Thus, 4 less than a number means

4 less than a number means is greater than 49 means

The answer is x-4>49, option C.

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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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:

Slope is [tex]-\frac{7}{2}[/tex] and the y-intercept is (0,-2)

Step-by-step explanation:

First, turn the equation into slope-intercept form.

Slope intercept form is [tex]y=mx+b[/tex]. Where m is the slope and b is the y-intercept

The equation would be [tex]y=\frac{4-7x}{-2}[/tex]. Which is equal to [tex]y=\frac{-7}{2} x-2[/tex].

This means that the slope would be [tex]-\frac{7}{2}[/tex] and the y-intercept is (0,-2)

Answer:A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given speed:

Convert this to mph as follows:

Answer:

10/3 miles per hour

Step-by-step explanation:

Given that,

→ 5/6 mile in 15 min

→ 15 min × 4 = 1 hour

Average speed in miles per hour,

→ 5/6 × 4

→ 20/6

→ 10/3 miles per hour

Hence, required answer is 10/3.

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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Question 35.

Given:

To solve the function operation, let's divide both functions.

Hence, we have:

Now, let's find the domain of the function f(x)/g(x).

Domain is the set of all possible x-values that makes the function true.

Hence, to find the domain, set the expression in the radicand equal to zero.

We have:

x + 3 = 0

Subtract 3 fromboth sides:

x + 3 - 3 = 0 - 3

x = - 3

Therefore, the domain in interval notation is:

(-3, ∞).

ANSWER:

Given:-

To find:-

Draw and label a diagram for this triangle, then find the measures of the remaining angles and sides. Explain how you found each measure.

At first construct an right angled triangle at c. so we get,

So now we need to use a protractor and measure the angle A and angle 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

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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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

Slope is 1/6

STEP-BY-STEP EXPLANATION

What to find? The slope of the line parallel to a given equation

Given equation

The slope-intercept form of an equation is given below as

Where m is the slope of the line

y is the intercept of the y - axis

The next thing is to rewrite the above equation in the format of the slope-intercept equation

For lines that are parallel to each other, the slope remains the same

Therefore, the slope of the line parallel whose equation is y = 3x - 18y = -378 is 1/6

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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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