Help here. Im not the smartest

Given Rm(△PQR)=△P'Q'R, it means that a reflection of triangle △PQR over line m is triangle △P'Q'R'.

In arithmetic, what is perimeter?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Reflections preserve distance, so the corresponding sides of △P'Q'R' and △PQR will have the same length. Therefore, if the perimeters are calculated by adding the lengths of all three sides of the triangle, then the perimeter of △P'Q'R' and △PQR will be equal.

So, it is true that △P′Q′R′ and △PQR have equal perimeters.

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Answer:

True

Step-by-step explanation:

It is a triangle.

if a+b>c, it is a triangle

The distance between the two towers and the building is 50 ft.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that The height of a tower is 55 ft and the height of a building is 25 ft. If the angle of elevation from the top of the building to the top of the tower is 30.9°.

The distance will be calculated as,

Distance = 30 / tan(30.9)

Distance = 50 ft

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Answer:

"

Step-by-step explanation: u didn't give the article, I would like to help but without context, there's not much I could do

Answer: 18 - 2 = ...

Step-by-step explanation:

Substitute 3 into n:

6 * 3 - 2

= 18 - 2

=  Solve this yourself :>

Answer: The value of 6n-2 when 4 is 3=16

Step-by-step explanation: Put value of n in the expression 6n - 2. The resulting expression will be 6(3)-2. We will multiply first and then subtract. 18-2 which equals 16.

a. The tea that he needs to make 450ml of mint tea will be 4050 ml

b. The mint syrup that he needs to make 5.4 liters of mint tea will be 0.6 liters.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split

The tea that he needs to make 450ml of mint tea will be:

= 450ml ÷ 1/9

= 450 × 9

= 4050ml

The mint syrup that he needs to make 5.4 liters of mint tea will be:

= 5.4 ÷ 9

= 0.6 liters

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The commission paid to the salesperson would be $1110.

What is a commission?

A commission is a fee or percentage of the value of a sale that is paid to a salesperson as a form of compensation for their work in making the sale.

In this case, the commission paid to the salesperson at Kings Park Auto Giant is based on the profit of the sale and is determined by the piecewise function c(p), where p is the profit. To determine the commission for a specific sale, you would need to use the profit of that sale in the piecewise function and perform the calculations.

In the case provided, the car was purchased for $32,090 and sold for $33,200. The profit would be the difference between these two prices, which is $33,200 - $32,090 = $1,110. With this information, the commission that would be paid to the salesperson can be determined by plugging the profit, $1,110, into the commission function c(p) and performing the calculations.

Hence, the commission paid to the salesperson would be $1110.

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A teacher, she is measuring the height of students, She gets data from 500 students, the visual displays is most appropriate is, Bar chart. So option A is correct.

Statistics is a process in which we collect, interpret, study and understand the data. We took a small sample from the large quantity and then we did study of the sample then according to results, we did our predictions for events which can happen in future.

Given that,

A teacher is measuring the height of students at her high school

She gets data from 500 students at her high school

Most appropriate visual displays by,

The bar graph,

because it will show result,

In rectangular columns and vertical height can represent the number of students,

Different  columns can represent the range of height

Hence, the appropriate choice is Bar chart

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C(F(75)) represents the cost of gas for a vehicle with a fuel efficiency of F(75) when the vehicle is traveling at a certain speed of 75 miles per hour.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

Since Let F(s) is the Fuel efficiency for a vehicle when the vehicle is traveling at a certain speed and C(F) is the cost of gas for a vehicle with a certain fuel efficiency.

Therefore, we can say C(F(75)) represents the cost of gas in U.S dollars for a vehicle with a fuel efficiency of F(75) miles per gallon when the vehicle is traveling at a certain speed of 75 miles per hour.

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Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

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On solving the provided question, we can say that by percentage

20% of 1570 => 20/100 X 1570=314; rent = 1570 - 314 = $1256

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

A couple has a combined income of = $15,720 per year.

they spend 20%

by percentage

20% of 1570

20/100 X 1570

=314

rent = 1570 - 314 = $1256

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The digit in the  tens   place is the best place for the stem value of the data shown above.

====================================

Explanation:

Common convention with 2 digit numbers is to have the tens place as the stem, and the units digit as the leaf.

For example, the number 65 has a stem of 6 and leaf of 5.

Another example: The number 71 has 7 as the stem and 1 as the leaf.

--------

This is what the full stem-and-leaf plot looks like:

[tex]\begin{array}{r|l} \text{stem} & \text{leaf}\\\cline{1-2}4& 0\ 4\ 5\ 9\ \ \ \ \ \\ 5& 2\ 4\ 6\ 7\ \ \ \ \ \\ 6& 2\ 3\ 4\ 5\ 5\ 7\ 7\ 8\ 8 \\ 7& 1\ 4\ \ \ \ \ \ \ \\ 8& 7\ \ \ \ \ \ \ \ \end{array}[/tex]

[tex]\boxed{\text{Key: } 4|0 \ \text{means } 40}[/tex]

The given sequence is a geometric sequence, and the formulas for the n-th term are:

Aₙ = 4*Aₙ₋₁

Aₙ = 4ⁿ⁻¹*6

The sequence 6, 24, 96, 384 seems to be a geometric sequence, to check that,we need to take the quotient between consecutive terms.

For the first two:

24/6 = 4

The second two:

96/24 = 4

the last two:

384/96 = 4

So yes, all the quotients are 4, then this is a geometric sequence, where to get a term in the sequence we just need to multiply the previous one by 4, then the recursive formula to get the n-th term of the sequence is:

Aₙ = 4*Aₙ₋₁

And the general formula is:

Aₙ = 4ⁿ⁻¹*6

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answer: A survey

explanation: The manager of the restaurant is conducting a survey to determine which sandwich is more preferred by customers. He is taking a random sample of customers that have tried both sandwiches and asking them which sandwich they like best. The survey method is a statistical way of collecting data and it is a non-experimental design, because the manager is not controlling the variables that may affect the outcome. The outcome of this survey is based on the customers' preference of the sandwiches, and it is a way to gather data on their opinion

Answer:

20

Step-by-step explanation:

Let the number of days be [tex]d[/tex].

[tex]250=12d \\ \\ d=\frac{250}{12}=\frac{125}{6} \implies \lfloor d \rfloor=20[/tex]

The expression 1500 to the square root of 3 to the square root is approximately equal to 44.7.

The expression 1500 to the square root of 3 to the square root can be simplified using exponent rules. Recall that [tex]( {a}^{b} )^{c} = {a}^{b \times c} [/tex] for any positive real numbers a, b, and c.

Therefore, the expression becomes,

[tex] {1500}^{ { \frac{1}{2} }^{ \frac{3}{2} } } [/tex] where the inner square root of 3 can be written as [tex] \frac{ {2}^{ \frac{3}{2} } }{2} [/tex].

Evaluating the expression, we have

[tex] {1500}^{ { \frac{1}{2} }^{ \frac{3}{2} } } = {1500}^{ {2}^{ \frac{1}{2} } } = {1500}^{1.41...} [/tex], where 1.41... is the square root of 2.

To the best of our approximation, the exact value of [tex] {1500}^{1.41...} [/tex] is approximately 44.7.

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Answer:

SVW

Step-by-step explanation:

Since we need V in the middle of the three letters, only c and d are left. But to read an angle, you ensure the center degree(in this case, the number 4) and make the letter in the middle. You extend the center out for the other two digits, so the only choice is SVW, not WVT because T is far off, and 4 is supposed to be SVW, or WVS.

The distance that lies from where Stefan is and the fish is 15 meters

In order to get Stefan's distance from the fish, we would have to make use of the pythagorean theorem

The formula is given as

a² + b² = c²

where we have the value of a = 12 meters

the value of b = 9 meters

the value of c is unknown

when we input the values we would have:

12² + 9² = c²

144 + 81 = c²

225 = c²

c = √225

c = 15

The distance that lies between Staefan and this fish is given as 15 meters.

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Answer:

19 m^3

Step-by-step explanation:

nothing to factor

The factors of this expression X⁴ - 2x + 1  is, (X - 1), (X - 1), (X + 1), (X + 1)

In mathematics, the factors are the algebraic expressions which divides the given expression evenly. After division there will be no remainder.

For example, x²-12x +12 =  (x-3)(x-4), (x-3) and (x-4) are the factors of the quadratic equation.

Given expression,

⇒ X⁴ - 2x + 1

⇒ X⁴ - 2x + 1⁴

by using identity,

(a + b)² = a² + 2ab + b²

Similarly,

⇒ (X²)² - 2×1²×X + (1²)²

⇒  (X² - 1)²

⇒  [(X - 1)(X + 1)]²

Hence, factors are (X - 1), (X - 1), (X + 1), (X + 1)

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Answer:

a)  Alternate interior angles

b)  Same-side interior angles

c)  Alternate exterior angles

d)  None

e)  Supplementary

Step-by-step explanation:

Alternate interior angles

When two lines are intersected by a transversal, the angles that are interior to the two lines and are on opposite sides of the transversal line are called "alternate interior angles".

Same-side interior angles

When two lines are intersected by a transversal, the angles that are interior to the two lines and on the same side of the transversal line are called "same-side interior angles".

Alternate exterior angles

When two lines are intersected by a transversal, the angles that are exterior to the two lines and are on opposite sides of the transversal line are called "alternate exterior angles".

Supplementary angles are two angles whose measures sum to 180°.

They do not need to be adjacent to be supplementary.

As ∠9 and ∠11 form a linear pair, they are supplementary angles.

The value of expression after implicitly differentiation with respect to x is,

⇒ x dy/dx + y + 2 + 6x = 0

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ xy + 2x + 3x² = 4

Now, We can implicitly differentiation with respect to x as;

⇒ xy + 2x + 3x² = 4

⇒ x dy/dx + y + 2 + 6x = 0

⇒ x dy/dx + y + 2 + 6x = 0

Thus, The value of expression after implicitly differentiation with respect to x is,

⇒ x dy/dx + y + 2 + 6x = 0

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Therefore , as a result, there exist four complex numbers.√3, - √3, √15 i, and - √15 i  satisfy the following complex number sequence equations.

An grouping of numbers, or "terms," is called a sequence. Examples are 2, 5, and 8. Some sequences can be made to continue indefinitely by trying to take advantage of a particular pattern that they employ. Using the example of 2,5,8, add 3 to the sequence to continue it. There are equation that can be found in a string of words that indicate where to look. A sequence in mathematics is a group of objects that are ordered in some way (or events). 

Here,

Given:

The complex plane's reflection on the real line is referred to as complex conjugation. The complex conjugation of z can be represented by either Z or z. The complex conjugate has identical real and imaginary parts, but the imaginary part has the opposite sign.

It follows from z=a+ib, in other words.

There are four complex numbers. √3, - √3, √15 i, - √15 i  satisfy the following complex number sequence equations.

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Answer: two thirds

Step-by-step explanation:

Consonents -> M, T, H, S, F, N    (6 of them)

Vowels(non-consonents) -> A, I, U   (3 of them)

Total number of letters = 6 + 3 = 9

Probability = 6/9 = 2/3

Answer:

20 feet

Step-by-step explanation:

6(3)=18

60/3=20

Answer: The building would be 20 feet tall

Step-by-step explanation: If the 6 foot man was casting a shadow of 18 feet you can figure out that 6 times 3 is 18 and then take 60 divided by three to get an answer of 20 feet.

Therefore , the solution of the given problem of quadrilateral comes out to be A.5 , B.2/3, C.-1/5 and D.2/3 .

A quadrilateral in geometry is a four-sided object with four corners and four corners. The term derives from the Latin terms quadri or latus (meaning "side"). Rectangles are two-dimensional shapes that have four corners, four corners, and four corners. There are essentially two types of concave and convex.

Here,

Given that

A(-4, -5), B(-3, 0), C(0, 2), and D are the quadrilateral ABCD's vertices (5, 1).

If ABCD is a trapezoidal or not is what we must ascertain.

We are aware that a trapezoidal is a quadrilateral by one set of parallel opposed sides. Furthermore, two parallel lines have equal slopes.

The slopes of sides AB, BC, CD, and DA will first be determined.

Ours has

The gradient for

AB =0+5/ -3+4

=>5/1 => 5, in step 1.

Step 2: BC's slope is

=> 2-0 / 0+3

=> 2/3.

Step 3: The gradient of CD is

=> 1-2 / 5-0, which equals -1/5.

Step 4: The gradient of DA is equal to

=>-5.1/-4.4/2.3

=>2/3.

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Answer:

Area: 107.625 feet squared

Step-by-step explanation:

A = 8+13/2 (10.25)

A = 21/2 (10.25)

A = 10.5 (10.25)

A = 107.625 feet squared

Answer:

x = 76°

Step-by-step explanation:

given ∠ STR = ∠ SRT = 28°

∠ STR and ∠ STU are a linear pair and sum to 180° , that is

28° + 2x = 180° ( subtract 28° from both sides )

2x = 152° ( divide both sides by 2 )

x = 76°