Trapezoid ABCD and WXYZ are congruent trapezoids. What is the value of x?

A. x = -5
B. x = 5
C. x = 15
D. x = -15

Answer:

A. 12.4

Step-by-step explanation:

To find a, we'll use the Law of Sines that says:

[tex]\frac{a}{sin(A)} = \frac{c}{sin(C)}[/tex]

And we'll isolate a to get:

[tex]a = \frac{sin(A) * c}{sin(C)}[/tex]

We first need to find A, which is easy.  The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:

A = 180 - 90 - 16.75 = 73.25

(converted 16°45' to 16.75)

Then we will plug-in the information we already have

[tex]c = \frac{sin(73.25) * 13}{sin(90)} = 12.45[/tex]

So, let's round it to 12.4 to match the answer A.

Answer:

The length of side marked a is 12.4 units.

Step-by-step explanation:

In ΔABC

∠B = 16°45’ = 16.75°

1 min arc = [tex]\frac{1}{60} degrees [/tex]

c = 13 units

a = ?

[tex]\cos \theta=\frac{Base}{Hypotenuse}[/tex]

[tex]\cos B=\frac{a}{13}[/tex]

[tex]0.95757=\frac{a}{13}[/tex]

[tex]a=0.95757\times 13=12.4484\approx 12.4 units[/tex]

The length of side marked a is 12.4 units.

Answer:

5 times shorter

Step-by-step explanation:

The period is the time it takes for one cycle to complete, or in this case, one breath.  Since person A is breathing 5 times faster, the time per breath is 5 times shorter.

(2x + 6x + 4) All you need to find is numbers that can all be divided by 2.

To write a trinomial with a GCF of 2, start by factoring out the GCF from each term. For example, the trinomial 4x^2 + 6xy + 8y^2 can be factored as 2(2x^2 + 3xy + 4y^2).

A trinomial is an algebraic expression with three terms. The greatest common factor (GCF) is the largest factor that all the terms share. To write a trinomial with a GCF of 2, we can start by factoring out the GCF from each term. Let's say the original trinomial is:

4x^2 + 6xy + 8y^2

The GCF of the trinomial can be found by listing the factors of each term and selecting the highest common factor. In this case, the factors of 4x^2 are 2 and 2x^2, the factors of 6xy are 2, 3, x, and y, and the factors of 8y^2 are 2^3 and y^2. The highest common factor is 2, so we can factor out 2 from each term:

2(2x^2 + 3xy + 4y^2)

This is a trinomial with a GCF of 2.

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Answer:

Step-by-step explanation:

Both lines have y-intersects y=3. So, it can be A,B or D

Both lines are solid, so it could be A, or B.

The colored areas are under the line, that means that signs will be ≤.

So, answer is A.

The overall change in surface area when the height of a rectangular prism is increased by 0.2 cm can be calculated with the formula 0.4w + 0.4l.

In this question, we are looking at the surface area of a box that is a rectangular prism and how it will change if the height of the box is increased by 0.2 cm. The surface area of a prism is given by the formula 2lw + 2lh + 2wh, where l, w and h are the length, width and height respectively.

Now, if the height is increased by 0.2 cm, the difference in the surface area will be 2lw (because there are two ends with area lw that do not change) plus the change in the area of the sides. The sides' areas will increase by 2w x 0.2 and 2l x 0.2 respectively (since we have two opposing sides that both increase by 0.2 cm in height).

Therefore, the overall change in surface area when the height is increased by 0.2 cm is simply the sum of these two parts, which is 2w x 0.2 + 2l x 0.2. This can also be simplified to 0.4w + 0.4l.

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the answer is c) 59.5

Answer:

D because 84 of 50 is 168...

solutions:

84:50*100 =

(84*100):50 =

8400:50 = 168

Answer:

4.4

Step-by-step explanation:

The tenth place in this number is 4.432, so that should be the last digit.

Now, we need to know wether to round up or down. That is determined by the digit that comes after it. If that digit, here it is the hundredth, is 0-4, it rounds down, if it is 5-9, it rounds up. Our next digit is 3, which goes into the first category, so the number rounds down, so the tenth remains the same. That leaves us with 4.4.

Answer:

4.4

Step-by-step explanation:

The tenth decimal place is one to the left of the decimal. The hundreth decimal places is two digits to the right and so on an so forth. Knowing this, you apply the basic rules of rouding. If the digit to the left of the digit being rounded is greater than five, the digit is rounded up one and the others are discarded. In this case, the digit to the left of the digit in subject is less than five, 3. Therefore, the tenth decimal stays the same and the others are discarded.

Answer:

Hence correct choice is B. 58,381

Step-by-step explanation:

Given equation is [tex]y=18000(1.04)^x[/tex].

There x represents number of years. We need to find about which is the best prediction for the population in year 30.

To find that we will plug x=30 into above formula and simplify

[tex]y=18000(1.04)^x[/tex]

[tex]y=18000(1.04)^{30}[/tex]

[tex]y=18000(3.24339751003)[/tex]

[tex]y=58381.1551805[/tex]

Which is approx 58381

Hence correct choice is B. 58,381.

Answer:

Part 1) The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.

[tex]x\leq 7.5\ pounds[/tex]

Part 2) [tex]m+n=(0.76x-0.28)[/tex]

Step-by-step explanation:

Part 1)

Let

x-----> the number of pounds of regular coffee

we know that

The inequality that represent the situation is

[tex]2x\leq 15[/tex]

Solve for x

Divide by 2 both sides

[tex]x\leq 15/2[/tex]

[tex]x\leq 7.5\ pounds[/tex]

The maximum number of pounds of regular coffee that you can buy is 7.5 pounds.

The solution of the inequality is the interval ------> (-∞,7.5]

but the number of pounds cannot be a negative number

therefore

The solution is the interval -----> [0,7.5]

see the attached figure

Part 2) we have

[tex]m=0.56x-0.25[/tex]

[tex]m=0.20x-0.03[/tex]

Adds m and n

[tex]m+n=(0.56x-0.25)+(0.20x-0.03)[/tex]

Group terms that contain the same variable

[tex]m+n=(0.56x+0.20x)+(-0.25-0.03)[/tex]

Combine like terms

[tex]m+n=(0.76x-0.28)[/tex]

Answer:

13.86 units to the nearest hundredth.

Step-by-step explanation:

By Pythagoras:

16^2 = x^2 + 8^2

x^2 = 16^2 - 8^2

x^2  (16 + 8)(16 - 8) = 192

x = √192

= 13.86 (answer).

Answer:

x = 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Since the triangle is right use Pythagoras' theorem to solve for x

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, thus

x² + 8² = 16²

x² + 64 = 256 ( subtract 64 from both sides )

x² = 192 ( take the square root of both sides )

x = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = 8[tex]\sqrt{3}[/tex]

Combined?? The sum of ?

Addends is the word in algebra that means something has been added​. Addition is an operation to solve the algebraic problems.

Algebra is a field of mathematics that solves problems by substituting letters for numbers.

Addends refer to the numbers that are being added in an addition issue. An addend is a group of numbers that are added together to generate a sum. 

Hence, addends is the word in algebra that means something has been added​.

To learn more about the algebra, refer to the link;l

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Answer:

[tex] \frac{ {8}^{2} }{ {5}^{2} } = \frac{64}{25} [/tex]

B) 64:25

Step-by-step explanation:

Ratio of Lengths = a/b

Ratio of Areas = a^2/b^2

Ratio of Volumes = a^3/b^3

Answer:

The correct answer option is C. 0.

Step-by-step explanation:

We are given the following data set and we are to find its median value:

[tex] - 1 0 0 0 , - 9 9 9 , 1 9 9 8 , ... , -1 , 0 , 1 , ... , 9 9 8 , 9 9 9 , 1 0 0 0 [/tex]

Median is the middle value of a data set which divides it into to halves.

The data set we have starts from -1000 and goes till 1000 which means there are total 2001 elements in it.

Therefore, 0 will the middle value which is the median for this data set.

Answer:

C) 0

Step-by-step explanation:

Median is the middle value of a data set which divides it into to halves.

So then 0 will the middle value which is the median for this data set.

0 is the in the middle.

Answer:

D. would be your answer

Step-by-step explanation:

Yes, the triangles ΔAYM ∼ ΔEDC by SSS criterion of similarity.

If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar.

The two triangles are similar if the three sides of one triangle are proportional to the three sides of the other.

According to SSS criterion of similarity:

CE / AM = ED / AY = CD / MY

3 / 6 = 4 / 8 = 5 / 10

1/2 = 1/2 = 1/2

Hence  ΔAYM and ΔEDC are similar by SSS criterion of similarity.

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Angle A= 60

You add angles A and D together and set them equal to 180 because opposite sides in a parallelagram =180. Then you solve for x and get 30 and you should then plug in 30 to angle A and get 60.

ANSWER

b=1, c=81, and d=9.

EXPLANATION

The given function is:

[tex]y={x}^{2}-18x[/tex]

This function is the same as:

[tex]y={(x - 9)}^{2}-81[/tex]

To find the inverse of this function, we interchange x and y.

[tex]x={(y-9)}^{2}-81[/tex]

Solve for y:

[tex]x+81={(y- 9)}^{2}[/tex]

Take square root of both sides:

[tex]\pm \sqrt{x + 81}=y-9[/tex]

[tex]y=\pm \sqrt{x + 81}+9[/tex]

Hence,

b=1, c=81, and d=9.

Answer: b=1, c=81, d=9

Step-by-step explanation:

ANSWER

C(2,-6)

EXPLANATION

The solution set to given inequality is the shaded region.

The points are also located in the graph above.

The only point that falls in the solution region is C(2,-6)

The ordered pair that is in the solution set is C(2,-6)

The third option is correct.

Answer:

x² + 9x + 8 = 0

Step-by-step explanation:

A quadratic equation is expressed this way: ax² + bx + c = 0

So, so find the quadratic equivalent of (x + 2)² + 5(x + 2) – 6 = 0, we just have to do the multiplications then simplify.

(x + 2)² + 5(x + 2) – 6 = (x² + 4x + 4) + (5x + 10) - 6

After merging the terms of same degree, we get:

x² + 9x + 8 = 0

Answer:

C

Step-by-step explanation:

u2 + 5u – 6 = 0 where u = (x + 2)

ED 2021

Answer:

$99.80

Step-by-step explanation:

499 * 0.20 = 99.8

499 / 0.20 = 99.8, then you would do this; 499 - 99.8 = 399.2... $399.20 is the sale price of the TV!

Answer:

7.5 weeks

Step-by-step explanation:

If you want to find out how long it take for the plant to reach a foot you set up the equation like so:

12=1.2w+3

and solve from there.

12=1.2w+3                       Subrtact 3 from both sides

9=1.2w                             Divide by 1.2 to isolate w

7.5=w                              Answer is 7.5 weeks

The [tex]7.5[/tex] weeks it will take the plant to reach one foot.

What is height?

In math, height is the vertical distance from the top to the base of the object and it is measured in cm, inches, meters, etc.

It is given that the height [tex]h[/tex] of the plant (in inches) [tex]w[/tex] weeks.

The equation is,

[tex]h=1.2w+3[/tex]

As we know that,

[tex]$12\,\text{inches}=1\,\text{foot}$[/tex]

The number of weeks that it will take the plant to reach one foot will be:

[tex]h=1.2w+3[/tex]

[tex]12=1.2w+3[/tex]

[tex]1.2w=12-3[/tex]

So,

[tex]w=\frac{9}{1.2}[/tex]

[tex]$\therefore w=7.5$[/tex]

Hence, it will take [tex]7.5[/tex] weeks.

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[tex]c. \: add \: 15n \: from \: each \: side.[/tex]

Answer:

33.333...

Step-by-step explanation:

First of all we put the 160/480 and further divide each of which to be simplified by the simplified version

Then we must find the decimal which is 33.333 recurring.

If require further assistance ask me.

Hope this helps and enlightens your day. Enjoy

33.33

hope i helped

have a good day

Answer:

It's D.

Step-by-step explanation:

The figure is rotated 90 degrees clockwise then translated down 3 units and left 2 units.

The blue triangle becomes the purple triangle by rotating 90° clockwise then translated down 3 units and left 2 units, so, option D is correct.

A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.

Given:

The blue triangle becomes the purple triangle in the graph,

All rotations are about the origin,

The Clockwise motion, also known as CW, moves from top to bottom, then down and left, and then back to top in the same manner as a clock's hands.

As you can see, The blue triangle is firstly rotated at 90° clockwise and then translated 3 units in the down y-axis and 2 units in the left x-axis.

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For this case we must find the product of the following expression:

[tex](y ^ 2 + 3y + 7) (8y ^ 2 + y + 1)[/tex]

We apply distributive property, which states that:

[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]

So:[tex](y ^ 2 + 3y + 7) (8y ^ 2 + y + 1) =\\(y ^ 2) (8y ^ 2) + (y ^ 2) (y) + (y ^ 2) (1) + (3y) (8y ^ 2) + (3y) (y) + (3y) (1 ) + (7) (8y ^ 2) + (7) (y) + (7) (1) =\\8y ^ 4 + y ^ 3 + y ^ 2 + 24y ^ 3 + 3y ^ 2 + 3y + 56y ^ 2 + 7y + 7 =[/tex]

We add similar terms:

[tex]8y ^ 4 + 25y ^ 3 + 60y ^ 2 + 10y + 7[/tex]

Answer:

Option D

Answer:

  Most likely, 60% to 75% of the students in the town play video games.

Step-by-step explanation:

Of the 20 samples taken, ...

Most of the samples fall in the range 60%–75%, so we have to conclude that it is most likely that the fraction of students who play video games is in that range.

Answer:

$438.66

Step-by-step explanation:

The total percent taken is:

6.2% + 1.45% = 7.65%

7.65% of the paycheck is taken.

The total paycheck is 100% of the paycheck. Since 7.65% of the paycheck is taken, and 100% - 7.65% = 92.35%, then 92.35% of the paycheck is left.

Now we find 92.35% of $475.

To find a percent of a number, multiply the percent by the number and divide by 100.

92.35 * $475/100 = $438.66

Answer: $438.66

$438.66 , because 6.2+1.45=7.65 and then 100-7.65=92.35 and then you turn that into a percentage which would be 92.35% in decimal form would be .9235 which is the portion you’ll receive from your paycheck so you multiply that by $475 and you will get your final answer of $438.66

Answer:

16lb=30

22=88

Step-by-step explanation:

Answer:

16 lb = 64 cups

22 lb = 88 cups

Answer:

a

Step-by-step explanation:

plato answer

Answer:

B The measurement found using Ruler 2 is more accurate and more precise.

Step-by-step explanation:

We have to understand the concept here for accuracy and precision.

Accuracy is against some standard. So it is the measured value which is closely against a standard. Accuracy is less if the measured value is deviated from the standard.

Precision is about how closely individually measured values agree with each other. Precision doesn't concern with the standard value.

Now, third concept is significant numbers. It is up to how much decimal numbers an instrument can produce a result.

In ruler 2, you can see that there are more divisions for a whole inch. This means that the ruler 2 can measure more nearly to the standard value, as well as, for repeated measurements, it can give more precised figures due to the ability to read up to more decimal numbers after the decimal point.

Answer:

im not sure what this means

Step-by-step explanation:

Answer:

5.6 kilometers  gradpoint

Step-by-step explanation:

i took the test

The video game costs $45. Look at the image to see what I did