What is the value of x?

The value of the angle m ∠ DAB in the parallelogram is 128 degrees

In a given parallelogram, the opposite sides and angles are equal to one another.

In the question given;

m∠ ABC = 3x + 1

m∠ BCD = 8x - 8

m∠ DAB = ?

m ∠ ABC + m∠ BCD = 180°

The sum of the two angles is equal to 180 degrees

3x + 1 + 8x - 8 = 180

11x - 7 = 180

11x = 187

x = 17

However, m∠ DAB = m∠ BCD

Two opposite angles are equal

m∠ DAB = 8x - 8

m ∠ DAB = 8(17) - 8

m ∠ DAB = 128 degrees

The angle is 128 degrees

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Whereas students from single parent or two parent homes make up 54% of new students, these students eventually go on to complete their college studies..

By dividing the value by the entire value and multiplying the result by 100, one can compute the percentage. The formula for calculating percentage is (value/total value)100%.When a piece of a whole is stated as a percentage, it is not a fraction but rather a number between 0 and 100. There are three percentages: 100% for everything, 50% for half of it, and 0% for the remaining portion.

calculation

25% of new students come from one-parent households, which equals 0.25;

75% of new students come from two-parent households, which is 0.75.

42% of incoming students from homes with only one parent go on to complete their college studies = 0. 42

58 percent of incoming students who come from two-parent households go on to complete their education =0.58

= 0.25 * 0.42 + 0.75 * 0.58 = 0.54 = 54%.

Whereas students from single parent or two parent homes make up 54% of new students, these students eventually go on to complete their college studies..

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The coordinates of the centroid of triangle DEF with the vertices (0,4) (6,6), and (2,2) is calculated as: (8/3, 4).

The formula for finding the coordinates of the centroid of a triangle is given as:

C(x, y) = [tex]( \frac{(x1+x2+x3)}{3}, ( \frac{(y1+y2+y3)}{3})[/tex].

Given the vertices of triangle DEF as follows:

D (0, 4) = [tex](x_1, y_1)[/tex]

E (6, 6) = [tex](x_2, y_2)[/tex]

F (2, 2) = [tex](x_3, y_3)[/tex]

Substitute the values into the centroid formula to find the coordinates:

C(x, y) = [(0 + 6 + 2)/3, (4 + 6 + 2)/3]

C(x, y) = (8/3, 12/3)

C(x, y) = (8/3, 4)

Therefore, the centroid has the coordinates that are calculated as: (8/3, 4).

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The required product of the given product numeral is -1536. Option C is correct.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
=  (−16)(−4)(−24)
= 64(-24)
= -1536

Thus, the required product of the given product numeral is -1536. Option C is correct.

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The most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up is 17 gallons.

On plotting the graph we will get ,

The most reasonable value of y corresponding to x = 3 is approximately 17 gallons.

A plot is a graphical technique for representing a data set, typically in the form of a graph that depicts the relationship between two or more variables. The plot can be created either by hand or by computer. Previously, mechanical or electronic plotters were used.

Graphs are a visual representation of the relationship between variables that are very useful for humans because they allow them to quickly derive an understanding that would not have been possible from lists of values. Graphs can also be used to read off the value of an unknown variable plotted as a function of a known variable given a scale or ruler, but this can also be done with data presented in tabular form. Function graphs are used in mathematics, science, engineering, and technology.

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Answer: 16 glasses of milk

Step-by-step explanation: To find how many glasses can be filled with milk, we must know that this is a division problem. So, we divide 12 by 3/4 to get 16. When dividing, the answer will be greater than the number it is being divided by, because the reciprocal will be found, and it will be greater when multiplied. I hope this helped. Please mark brainliest (If can)

The perimeter of the equilateral polygon with the given vertices is given as follows:

40 units.

The perimeter of a polygon is composed by the sum of the lengths of the outer edges of the figure.

From the figure given at the end of the answer, the parameters for the polygon with these given vertices are given as follows:

Then, considering the 8 side lengths and the fact that they measure 5 inches, the perimeter of the polygon is given as follows:

Perimeter = 8 x 5 = 40 units.

(sum of 8 times the number 5 is equals to the multiplication of eight by five).

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Answer:

2 quarts

Step-by-step explanation:

1 quart = 2 pints

4 pints × (1 quart)/(2 pints) = 2 quarts

Answer:

2 quarts

Step-by-step explanation:

1 quart=2 pints

2 quarts=4 pints

Have a great day

The mid term is 2,Accordingly, if n is even, there will only be one middle term, and if n is odd, there will be two middle terms.  

Explanation:

2x - 4 + 3x + 2 = 2(2x+4)

The mid term is 2.

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Answer:

The two teachers are 13 feet apart

Step-by-step explanation:

Right Triangles

Ava, her math teacher, and her science teacher form a right triangle in which she is at the 90° vertex.

The distances from the three people must satisfy the Pythagora's theorem, where the distance between the two teachers (D) is the hypotenuse, thus:

D = 13 feet

Step-by-step explanation:

Answer:

The total value of the account after 3 years will be $5,503.52.

Step-by-step explanation:

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Tyler's bank account pays a straightforward yearly financing cost of 3.25%. Assume he stores $5,000 in the record and sets aside no extra installments or withdrawals for a long time.

The total value of the account after 3 years will be calculated as,

A = $5,000(1 + 0.0325)³

A = $5,000 x (1.0325)³

A = $5,000 x 1.1007

A = $5,503.52

The total value of the account after 3 years will be $5,503.52.

Inequality that could be used to solve for x is;

1450 words + (265 words / day)x  = 3305 words

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given that Amy has already written 1450 words out of 3305 words.

And she writes at the rate of 265 words per day.

To establish the inequality which could be used to solve for x,

Then Firstly, we will form an equation for the total number of days required to write her paper,

1450 words + (265 words / day)x  = 3305 words.

Simplifying the above expression,

(265 words / day)x = 3305 words - 1450 words

To solve this linear equation, we'll find x = 7.

x = { 3305 words - 1450 words} / 265  words

x = 7 days.

Hence, inequality that could be used to solve for x is;

1450 words + (265 words / day)x  = 3305 words

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Answer:

Step-by-step explanation:

157.1429% but you can round it down

Answer:

see explanation

Step-by-step explanation:

Median -

To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

Answer: 34

Mode -

The most frequent number—that is, the number that occurs the highest number of times.

Answer: 34

Answer:

I think

Mode = 34

Median = 34

Step-by-step explanation:

Answer:630

Step-by-step explanation:

Answer:

9x³+8x²-3x-11

Step-by-step explanation:

1. You can move sections around throughout the equation.

^Note: Be sure to keep the same signs (either positive or negative) for each section.

In this problem, the sections are (-3x), (8x²), (-11), and (9x³).

^Note: I kept the subtraction/negative sign

2. Rearrange the exponents in order from largest to smallest in the equation.

largest 9x³ +8x² -3x -11 smallest

^Note: -3x has an exponent of 1

Check the picture below.

Answer:

  205.03125

Step-by-step explanation:

You want the 8th term of the sequence that begins 12, 18, 27, ....

The first differences of the given terms are ...

  18 -12 = 6

  27 -18 = 9

These are not constant, so the sequence is not an arithmetic sequence.

The ratios of sequential terms are ...

  18/12 = 1.5

  27/8 = 1.5

These are constant, suggesting the sequence is an exponential sequence. The equation for the n-th term is ...

  an = 12(1.5^(n-1))

Then the 8th term is ...

  a8 = 12(1.5^7) = 205.03125

__

Additional comment

The sequence could be quadratic if the second differences are all 9-6=3. In that case, the equation for the n-th term is ...

  an = 1.5n(n +1) +9

and the 8th term is ...

  a8 = 1.5·8(8+1) +9 = 117

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The triangles consist in rectangles ΔABD and ΔCDB are congruent triangles.

Given that,
To prove  ΔABD ≅ ΔCDB.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
consider ΔABD and ΔCDB
1. AB = CD   [opposite sides of a rectangle]
2. ∠A = ∠C   [each angle of the rectangle is 90°]
3. AD = BC    [opposite sides of a rectangle]
ΔABD ≅ ΔCDB

Thus, Both triangles ΔABD ≅ ΔCDB are congruent triangles, hence proved.

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Solving the given equation, we calculate the value of x to be 10.369

An equation is a mathematical statement that shows that two expressions are equal. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Simplification is the process of reducing an expression or equation to its simplest form by applying the rules of algebra. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

By isolating the variable x and using calculator, we find the answer = 10.369.

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The perimeter of the figure is 5.0.

What is a perimeter?

The perimeter of a two-dimensional shape is the distance around the outside of the shape. It is the sum of the lengths of all the sides of the shape. For example, the perimeter of a rectangle is the sum of the lengths of all four sides. The perimeter of a triangle is the sum of the lengths of all three sides.

To reflect a point across the line y=x, we can use the following formula:

(x', y') = (y, x)

Where (x', y') is the reflected point and (x, y) is the original point.

Using this formula, we can find the coordinates of the reflected points A' and B':

A' = (4, 4) -> (4, 4) -> (4, 4)

B' = (5, -1) -> (-1, 5) -> (-1, 5)

Therefore, the image of AB is A'B' with endpoints A'(4, 4) and B'(-1, 5).

To find the perimeter of the figure formed by the segments AB, B'B, and A'B', we can add up the lengths of these three segments. The length of AB can be found using the distance formula:

[tex]AB = \sqrt{((5-4)^2 + (-1-4)^2)}\\\\= \sqrt{(1^2 + (-5)^2)}\\\\= \sqrt{(1 + 25)}\\\\= \sqrt{26}[/tex]

The length of B'B can be found using the same formula:

[tex]B'B = \sqrt{((-1-(-1))^2 + (5-5)^2)}\\\\= \sqrt{(0^2 + 0^2)}\\\\= 0[/tex]

The length of A'B' can also be found using the distance formula:

[tex]A'B' = \sqrt{((-1-4)^2 + (5-4)^2)}\\\\= \sqrt{(-5)^2 + (1)^2}\\\\= \sqrt{25 + 1}\\\\= \sqrt{26}[/tex]

The perimeter of the figure is AB + B'B + A'B' = √26 + 0 + √26 = 2√26. To the nearest tenth, this is 5.0.

Hence, the perimeter of the figure is 5.0.

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it is the 1st graph.

Graph A.

WXYZ to JKLM

JM is equal to 9, ZW is 13.5, JK is 12, and WX is 18.

To obtain the coordinates of the other shape, multiply the original shape by the scale factor

What is the scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

13.5 / 9 = 1.5

9 * 1.5 = 13.5 \s12 * 1.5 = 18

You have a scale factor of 1.5. (because if u multiply 1.5 by the original shape, u get the new shape)

JKLM ~ WXYZ

So  JK ~  WX

So the scale factor  =  WX / JK

Scale Factor   =  18 / 12 =   3 / 2    =   1.5

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Answer:

18

Step-by-step explanation:

for the first one, 2(5+1)+10=22

for the second one, 2(6+4)+10=30

using the same concept, 2(3+1)+10=18

?=18

im not sure if im right or not lol

Answer:

x = –4

Step-by-step explanation:

y = –2x + 8

16 = –2x + 8

2x = 8 – 16

2x = –8

x = –4

We are given the slope and the y-intercept so using the slope-intercept form:

Substitute values to get:

To graph a line we need two points, one is given, (0, - 7) - the y-intercept.

Find one more point,  take even value of x to cancel the fraction, let it be x = 4, find its y-coordinate:

So our points are:

Plot the points and connect to graph the line.

See below.

The graph of the linear equation:y = (3/2)*x - 7 can be seen in the image at the end.

A general linear equation is written as:y = a*x + b

Where a is the slope and b is the y-intercept. Then our linear equation is:y = (3/2)*x - 7

To graph it, we need to know two points in our line, to do so, we evaluate it in two different values of x. if x = 0y = (3/2)*0 - 7y = -7So we have the point (0, -7)

And if x = 2 then:y = (3/2)*2 - 7y = 3 - 7y = -4So we have the point (2, -4)

Now we just need to graph these two points and connect them with a line. You can see the graph below.

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Answer:

Below

Step-by-step explanation:

a)  there are 10 cards    only one '4'    so 1 out of 10 = 1/10

b)  there are 2 cards out of 10 with a '1' on them    2/10 = 1/5

c)  8 out of 10 = 8/10

Answer:

5 6/7 or C option

Step-by-step explanation:

5 6/7 is equal to 5.857 and rounded it is 6

While all the others round to 5

Hopes this helps please mark brainliest

The value of missing side length(m) in ΔQRS is 15 cm.

How to solve the sides of triangle?

ΔABC ~ ΔQRS

The sides of the triangle will be in equal ration of one another.

i.e., AB/AC = QR/QS

3/1 = m / 5

m = 15 cm

Hence, The value of missing side length(m) in ΔQRS is 15 cm.

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