Someone please check this if this is right by giving me an explanation.

Answer:

1800

Step-by-step explanation:

Answer:

I believe it is C.

With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.

So, in the given situation:

TR and WY are as follows:
TR/WU

24/2

2/1

Similarly,

TS/WV

2/1

7/x

7/3.5

Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Know more about triangle similarity here:

https://brainly.com/question/14285697

#SPJ1

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

To learn more about : angle

https://brainly.com/question/25770607

#SPJ8

The calculated sum of the infinite series represented as 72 - 36 + 18 - 9 +... is 48

Given that we have the following infinite series

72 - 36 + 18 - 9 +...

In the above series, we have the following parameters

Initial value, a = 72

Common ratio, r = -36/72

When the above are evaluated, we have

Initial value, a = 72

Common ratio, r = -0.5

The sum of the infinite series is then calculated as

Sum = a/(1 - r)

When values are substituted, we have

Sum = 72/(1 + 0.5)

Evaluate

Sum = 48

Hence, the sum is 48

Read more about sequence at

https://brainly.com/question/29431864

#SPJ1

Hello! :)

1/10 of 9000 is 900

9000 divided by 10 is 900

900 times 10 equals 9000

The answer would be 900.

Hope this helped you!

THEDIPER

Answer:

-15

Step-by-step explanation:

work in reverse

-18 is three less than something

that means that something is 3 more than -18

so

add 3 to -18

-18+3= -15

Answer:

3/14 of a mile

Step-by-step explanation:

5/7-1/2=3/14

Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

Learn more about quadratic formula here:

brainly.com/question/26926523

#SPJ9

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

The constant of proportionality is the ratio between two directly proportional quantities

Step-by-step explanation:

Two quantities are directly proportional when they increase and decrease at the same rate.

Answer:The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.

Step-by-step explanation:

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

Learn more about rotation here:

https://brainly.com/question/30337265

#SPJ1

9514 1404 393

Answer:

  one solution; (x, y) = (4/3, 11/3)

Step-by-step explanation:

The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.

__

The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.

Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.

The shape is a trigular base prism

1. The perimeter of the base (triangle)

The Perimeter of a triangle = a+b+c

The perimeter of a triangle = 3+4+5

The perimeter of a triangle = 12

The perimeter of the base =12

2. Height of the prism = 6

3.

4. Lateral Area= (a+b+c)h

Lateral Area= (3+4+5)6

Lateral Area= (12)6

Lateral Area= 72 squared unit

5. Surface area

6. Volume

Volume is 36 cubic units

Answer:

40 pages

Step-by-step explanation:

120 or 2 min x 2 = 4

20 x 2 = 40

Sorry I couldn't explain more, but I hope this helps!

Answer:

40 pages

Step-by-step explanation:

convert 4 mins -> 240 secs

then cross multiply 20/120 and x/240 (x represents the pages scanned)

u then get 120x=4800

simplify(divide)-> x=40

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

More can be learned about implicit differentiation at https://brainly.com/question/25081524

#SPJ1

Answer:

17 miles to school from home

Answer:

3/4

Step-by-step explanation:

Yes, it wasn't fair because some kids got more pizza.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A coach took his team out for pizza after their last game.

There were 14 players, so they had to sit in smaller groups at different tables.

Six players sat at one table and got 4 small pizzas to share equally.

Each of them got = 4/6 = 0.67

The other 8 players sat at a different table and got 6 small pizzas to share equally.

Each of them got = 6/8 = 0.75

0.75 > 0.67

Therefore, some kids got more pizza.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Answer:

54

Step-by-step explanation:

To evaluate the numerical expression for (22+5) / (12-9)x6, we need to follow the order of operations. The first step is to perform any operations inside parentheses, so we start by calculating the expressions inside the parentheses on the left-hand side of the equation: (22+5) = 27. Then we move to the right-hand side of the equation and perform the operations inside the parentheses there: (12-9) = 3. Next, we perform any multiplications or divisions in the order that they appear from left to right, so we divide 27 by 3 to get 9. Finally, we perform any remaining multiplications or divisions in the order that they appear from left to right, so we multiply 9 by 6 to get the final result: 54. Therefore, the numerical expression for (22+5) / (12-9)x6 is 54.

Proportional relationships are relationships that can be represented using a uniform or constant rate. The cost of food is not a proportional relationship because it does not use a uniform rate.

The missing table is as follows:

\(\begin{array}{cc}Bag&Cost\\0&0\\5&17.5&30&89\end{array}\)

Let:

\(x \to\) Bag

\(y \to\) Cost

First, we calculate the slope (m) of the table using:

\((x_1,y_1) = (0,0)\)

\((x_2,y_2) = (5,17.5)\)

The slope (m) is as follows:

\(m=\frac{y_2 - y_1}{x_2 - x_1}\)

\(m=\frac{17.5 - 0}{5-0}\)

\(m=\frac{17.5}{5}\)

\(m=3.5\)

Also, calculate the slope (m) using the following points

\((x_1,y_1) = (0,0)\)

\((x_2,y_2) = (30,89)\)

The slope (m) is as follows:

\(m=\frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{89 - 0}{30 - 0}\)

\(m = \frac{89}{30}\)

\(m = 2.97\)

The calculated slopes are not the same. i.e.

\(3.5 \ne 2.97\)

Hence, the cost of food is not a proportional relationship because it does not use a uniform rate.

Read more about proportional relationships at:

https://brainly.com/question/21552002

Answer:

y=8x-13

Step-by-step explanation:

When you're finding a perpendicular line, you take the opposite of the slope. The slope in this equation is 1/8, so a perpendicular line will have the slope of 8. So we already know y=8x+b.

Plug in your x and y values from the ordered pair and you get -5=8(1)+b. 8×1 is just 8, so it's -5=8+b. Subtract 8 from both sides and you get -13=b.

Answer:

  (b)  (x -10)(x +10)

Step-by-step explanation:

The factorization of the difference of squares is a special form:

  a² -b² = (a -b)(a +b)

Your expression is recognizable as the difference of squares:

  x² -100 = x -10²

Using the above form, the factorization is ...

  = (x -10)(x +10) . . . . . . . . matches the second choice

Answer: 2.28

Step-by-step explanation:

.95 times 2.4

Answer:

50 or 60 feet

Step-by-step explanation:

Answer:

-3(-3) + 2 = -4

Step-by-step explanation:

Answer:

day 4: 16000
day 5: 32000
day 6: 64000
day 7: 128000
day 8: 256000
day 9: 512000
day 10: 1024000

Step-by-step explanation:

just fill in the day number as x and solve the equation.    

I attached a sketch of the graph. My paper isn't big enough to draw in all points, but you should get the idea on how to draw this. On the y axis, you use the number of people infected, on the x axis, the number of days.
Then you draw in each point, just as the exercise is asking for.
Then you also can read on the graph how many people are infected on day 6 and a half and day 11. You read this by checking what y value there is approximately for x = 6.5 and x = 11.
(hint: should be about 90500 for 6.5 days and 2048000 for 11 days)

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

Read more about range and domain at; https://brainly.com/question/2264373

#SPJ1

The prove of the given trigonometric function is given below.

The given trigonometric function is,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x))

Now proceed left hand side of the given expression:

We can write the expression  as,

⇒[(sin²(x))² - (cos²(x))²]/(sin²(x) - cos²(x))

Since we know that ,

Algebraic identity:

a² - b²  = (a-b)(a+b)

Therefore the above expression be

⇒(sin²(x) - cos²(x))(sin²(x) + cos²(x))/(sin²(x) - cos²(x))

⇒(sin²(x) + cos²(x))

Since we know that,

Trigonometric Identities come in handy when trigonometric functions are used in an expression or equation. Trigonometric identities hold for all values of variables on both sides of an equation. Geometrically, these identities include one or more trigonometric functions (such as sine, cosine, and tangent).

Then,

sin²(x) + cos²(x)² = 1 is an trigonometric identity

Hence,

(sin⁴(x) - cos⁴(x))/(sin²(x) - cos²(x)) = 1

Hence proved.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Let's call the weight of the boxer in question as Boxer A and the weight of his opponent as Boxer B.

To convert deciagrams to kilograms, we divide the weight in deciagrams by 1000 (since there are 1000 grams in a kilogram).

So, the weight difference between the two boxers is 100 dag, which is equal to 100/1000 = 0.1 kg.

Let's denote the weight of the opponent as 'x' kg.

According to the information given

The weight of the first boxer (91 kg) is equal to the weight of the opponent (x kg) plus the weight difference (0.1 kg):

We are given that Boxer A weighs 91 kg and is 100 dag (or 10 kg) heavier than his opponent.

To find the weight of Boxer B, we can subtract the weight difference from Boxer A's weight. The weight of Boxer B can be calculated as follows:

Weight of Boxer B = Weight of Boxer A - Weight Difference

Weight of Boxer B = 91 kg - 10 kg

Weight of Boxer B = 81 kg

Therefore, Boxer B weighs 81 kg.

In summary, Boxer A weighs 91 kg and is 100 dag (10 kg) heavier than his opponent, Boxer B, who weighs 81 kg.

For more questions Opponent:

https://brainly.com/question/30278343

#SPJ8

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193