Identify the angle pair as either corresponding angles, alternate interior angles, same side interior angles.Find the measure of each angle indicated.15)16)812769Angle TypeAngle Measure1516

Answer:

(-4 + x)/2 = 6

-4+x/2 = 6

+4         +4

x/2 = 10

*2      *2

x = 20

Step-by-step explanation:

(-4 + x)/2 = 6

-4+x/2 = 6

+4         +4

x/2 = 10

*2      *2

x = 20

Answer:

TWO CRACKERS

Step-by-step explanation:

I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.

Hope this helped

Answer:

= 3/28

Step-by-step explanation:

yard of ribbon Jane has= 6/7

yard of ribbon she used to trim an ornament = 3/4

ribbion left = 6/7 - 3/4

                     LCM= 28

                  = 24/28 - 21/28

                 = 3/28

Answer:

1/5

Step-by-step explanation:

6/30 divided by 6 on each side is 1/5

Answer:

Less than sign

Step-by-step explanation:

3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%

Answer:

135

Step-by-step explanation:

135+45=180

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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I suppose the claim is \(5 \mid 6^n - 1\) for \(n\in\Bbb N\).

When \(n=1\), we have \(6^1 - 1 = 6 - 1 = 5\), and of course 5 divides 5.

Assume the claim holds for \(n=k\), that \(5 \mid 6^k - 1\). We want to use this to show it holds for \(n=k+1\), that \(5 \mid 6^{k+1} - 1\).

We have

\(6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5\)

Since \(5 \mid 6^k - 1\), we can write \(6^k - 1 = 5\ell\) for some integer \(\ell\). Then

\(6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)\)

which is clearly divisible by 5. QED

Answer:

x=45

y=6

Step-by-step explanation

Answer:

The question is not complete

Answer:

(15,8)

Step-by-step explanation:

steps are in the picture above.

The model represent here gives the division problem is 3÷1/4.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

We have three section 1+ 1 + 1= 3.

and, Each section have the fraction

= 4/12

= 1/3

so, the model represent here gives the division problem

3÷1/4.

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Out of the given statements, statement a. If 4 is a prime number, then 6 is a prime number is the false one. A prime number is a positive integer that has exactly two distinct natural number divisors: 1 and itself.

For example, the number 2 is a prime number because it can only be divided evenly by 1 and 2. 4 is not a prime number because it can be divided evenly by 1, 2, and 4. 6 can be divided evenly by 1, 2, 3, and 6, so it is not a prime number. Therefore, statement a is false because if 4 is a prime number, 6 is not a prime number.

When determining whether a number is a prime number, it is important to remember that 1 is not a prime number. This is because 1 only has one divisor - itself. Any other number that can be divided evenly by more than two distinct natural numbers is not a prime number.

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The length of side PR can be either 14 or 5.

In geometry, corresponding sides are the sides of two or more geometric figures that are in the same relative position to each other. When two or more figures are similar, their corresponding sides are in the same ratio or proportion, meaning that the ratio of the length of one side in the first figure to the length of the corresponding side in the second figure is constant. For example, if two triangles are similar, then their corresponding sides are proportional to each other. The side that corresponds to another side is typically identified using the same letter with a prime symbol (') added to it.

Since the triangles PQR and STV are similar, their corresponding sides are proportional. That is,

PR / SV = QR / TV

Substituting the given lengths, we get:

(3x-19) / (3x-9) = (x-4) / 12

Cross-multiplying and simplifying, we get:

36x - 228 = (3x-9)(x-4)

36x - 228 = 3x^2 - 21x + 36

3x^2 - 57x + 264 = 0

Dividing both sides by 3, we get:

x^2 - 19x + 88 = 0

Factoring the quadratic equation, we get:

(x-11)(x-8) = 0

Therefore, x = 11 or x = 8.

If x = 11, then PR = 3x-19 = 3(11) - 19 = 14.

If x = 8, then PR = 3x-19 = 3(8) - 19 = 5.

Therefore, the length of side PR can be either 14 or 5.

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The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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The equations in order from least to greatest unit rate are y = 13/6x,y = 11/5x, y = 21/9x and y = 19/8x

On a graph, the unit rate is obtained by calculating the slope of the line. The slope is the change in y divided by the change in x:

Slope = y2-y1 / x2-x1  

Thus, we can any two convenient points on the graph and use it calculate the slope:

Let's pick points (5, 10) and (12, 25)

This implies x1 = 5, y1 = 10 and  x2 = 12, y2 = 25

Slope = y2-y1 / x2-x1

Slope = 25-10 / 12-5 = 15/7

Thus,  the unit rate of the graph is 15/7 = 2.143

Find the equations with unit rates greater than the unit rate of the graph:

y = 19/8x: unit rate = 19/8 =  2.375

y = 27/13x: unit rate = 27/13 = 2.077

y = 21/9x: unit rate = 21/9 = 2.333

y = 11/5x: unit rate = 11/5 = 2.200

y = 15/17x: unit rate = 15/17 = 0.882

y = 31/15x: unit rate = 31/15 = 2.067

y = 13/6x: unit rate = 13/6 = 2.167

The equations with unit rates greater than the unit rate of the graph are y = 19/8x, y = 21/9x, y = 11/5x and y = 13/6x

Therefore, the equations in order from least to greatest unit rate are y = 13/6x,y = 11/5x, y = 21/9x and y = 19/8x. Drag each tile to the correct box accordingly

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Answer:

B) Linear

Step-by-step explanation:

Because the residual plot shows no pattern, then there IS a correlation between the two original sets of data. Therefore, it's linear.

When 6 is divided by 1/2 the result is 12 because the expression to multiply by the reciprocal is 6 × 2.

The reciprocal of a number is the multiplicative inverse of that number. In other words, if you multiply a number by its reciprocal, the result is always 1.

In division by a fraction, the reciprocal of that fraction is the fraction that you multiply by to obtain the quotient hence for 6 divided by 1/2 the expression becomes;

6 ÷ 1/2 = 6 × 2/1

6 ÷ 1/2 = 12.

Therefore, when 6 is divided by 1/2 the result is 12 because the expression to multiply by the reciprocal is 6 × 2.

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Step-by-step explanation:

(+3x)-3x+12=-3x-12(+3x)

12=-12

But it is not sensible, so the ans is no solution

The system of inequalities represented by the graph is is y > 4 and y ≥ x

From the question, we have the following parameters that can be used in our computation:

The graph

The graph has two lines

The blue line is a horizontal dotted line

This means that the line has a y value that exceeds the point where it crosses the y-axis i.e. y > 1

For the x-axis, we have:

A linear inequality with a closed line

The points on the line are (0, 0) and (2, 2)

When represented as an equation, we have

y = x

The upper part is shaded

So, we have

y ≥ x

Hence, the system is y > 4 and y ≥ x

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Answer:

-6.5

Step-by-step explanation:

Division operation is operation helps calculate unit rates and unit prices.

Division operation -

What method do you employ to determine the unit rate?

Simple division of the numerator and denominator yields the unit rate. The outcome tells us how many of the units in the numerator to anticipate for each unit in the denominator.

What in mathematics are rate and unit rate?

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Answer:

44 weeks

Step-by-step explanation:

First, he’s already used 36 pages so he has 124-36=88 pages left to use.

Since he can use 2 pages per week, by dividing 88(# of pages left) by 2( pages per week), you will get the answer. 88÷2=44 weeks

The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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Answer:

\(A)y + 2 = 4(x - 3)\)

the area of the rectangle will be 1.5w².

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Area of rectangle is A = a*b

The given length of the rectangle is w

The width will be 1.5w

So the rectangle of the white figure is Area = w*1.5w = 1.5 w²

hence the area of the rectangle will be 1.5w².

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Answer:

probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)

Step-by-step explanation: