PLEASE HELP!!!! The problem is in the photo below.

The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°

Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.

From the diagram shown:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

20 + 105 + ∠Z = 180

∠Z = 55°

Since triangle XYZ and triangle GHI are similar, hence:

∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°

The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°

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Answer:

24

Step-by-step explanation:

We call:

A - Spanish textbook

B - Biology t.b.

C - Histoey t.b.

D - Writing t.b.

U can have:

ABCD

ABDC

ACDB

ACBD

ADBC

ADCB

BACD

BADC

BCDA

BCAD

BDAC

BDCA

etc..

U have 6 for each letter.

6×4=24

Gabriella can line up her textbooks in 24 different ways on her bookshelf.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

Gabriella has a Spanish book, a biology book,  physics book, and a health text book.

We have;

She has a total of 4 books in her book shelf.

So, the number of positions in which the books have to be put are four.

As we can see,

The books are only one in number each. So, the choices are not repeatable.

So, In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.

So, the total different ways in which she can line up her books in the bookshelf are,

= 4×3×2×1

= 24

Thus, There are 24 different ways possible.

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Curve B normal distribution has the smallest standard deviation.

The normal distribution describes a symmetrical plot of data around its mean value, where the width of the curve is defined by the standard deviation

Given,

Three normal distribution curves.

A figure consists of three curves along a horizontal axis, labeled Upper A, Upper B and Upper C.

Curve Upper A is evenly spread out,

curve Upper B is tall and the least spread out,

and curve Upper C is short and more evenly spread out from the center.

We need to find which curve shows low standard deviation.

Among the three curves, curve B has less width. Hence standard deviation will be small for curve B.

Hence curve B normal distribution has the smallest standard deviation.

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Answer:  -2

Step-by-step explanation:

4y/4 = -8/4

     y = -2

Answer:

Step-by-step explanation:

Answer is -2

a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer:

The perimeter p of the square is:

\(p=4x\)

And in terms of x:

\(\displaystyle x = \frac{1}{4}p\)

Step-by-step explanation:

Part A)

We are given a square with side lengths x.

Recall that all four sides of a square are equivalent. Therefore, our perimeter is:

\(\displaystyle \begin{aligned} p & = x + x + x + x \\ \\ & = 4x\end{aligned}\)

Part B)

To make x the subject of the equation, divide:

\(\displaystyle \begin{aligned} p & = 4x \\ \\ x & = \frac{p}{4} \end{aligned}\)

Answer:

lol i dont know but yo dog smell like evolution and natural selection?

Step-by-step explanation:

Answer:

11.) 180-38=142 12.)24.5 13.)im not sure but want to say 10

Step-by-step explanation:

By using the principles of fractions, we can find out that the models represent the problem 3/4 × 3.

A number that represents a percentage of a whole serves as the mathematical representation of a fraction. Fractions can be thought of as any number, any amount, or a portion of an object.

A pizza that has been cut into eight equal pieces. The notation 1/8, which denotes that we are speaking of one portion out of 8 equally sized portions, can be used to refer to a single portion of the pizza.

It indicates one equal part in eight. Furthermore, it can be written as: 1/8

It will be written as 2/8 if we choose to have 2 portions of the pizza. Similar to how we would write 6/8 as a fraction if we were referring to 6 portions of this pizza.

Now here in the question, 3 parts are selected out of 4.

So that suggests it is 3/4.

As there are 3 circular models, so the representation will be as:

3/4 × 3.

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Answer:

Step-by-step explanation:

f(-2) = 2/3(-2 + 8)

      = 2/3(6) = 2(2) = 4

Answer:

300 miles

Step-by-step explanation:

i am doing the same test right now

Answer: 142

Step-by-step explanation:

94 + 48 = ang 1

142 = ang 1

As a result of answering the given question, we may state that As a expressions result, the recursive formula for this geometric series is: a1 = 2 a2 = 10 a3 = 50 a4 = 250 a = 5 * an-1

In mathematics, an expression is a set of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that expresses a quantity or value. Expressions might be simple, like "3 + 4", or complex, like ". They may also include functions such as "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and carrying out the mathematical operations in the given order. For instance, if x = 2, the formula "3x + 5" is 3(2) + 5 = 11. In mathematics, expressions are widely used to explain real-world situations, build equations, and simplify complex mathematical issues.

To derive the explicit and recursive formulas for this geometric series, we must first discover the common ratio, r.

To accomplish this, we divide any term by its preceding term:

\(10 / 2 = 5\s50 / 10 = 5\s250 / 50 = 5\)

We can see that the common ratio r is 5.

\(a = a1 * r^(n-1) (n-1)\\a = 2 * 5^(n-1) (n-1)\)

The recursive formula for a geometric series is:

a = r * an-1

where an is the nth term and an-1 is the (n-1)th term.

In this sequence, the first word a1 is 2 and the common ratio r is 5. So the recursive formula is:

a1 = 2 a = 5 * an-1

As a result, the recursive formula for this geometric series is:

a1 = 2 a2 = 10 a3 = 50 a4 = 250 a = 5 * an-1

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Answer: Let's call the speed of the jet in still air "s" and the speed of the wind "w".

When flying with a tailwind, the ground speed of the jet is the sum of its airspeed and the speed of the wind, so we have:

ground speed = airspeed + wind speed

1124/4 = s + w

Simplifying this equation, we get:

281 = s + w

Similarly, when flying into a headwind, the ground speed of the jet is the difference between its airspeed and the speed of the wind, so we have:

ground speed = airspeed - wind speed

956/4 = s - w

Simplifying this equation, we get:

239 = s - w

We can now solve these two equations simultaneously to find the values of "s" and "w". Adding the two equations gives:

281 + 239 = 2s

520 = 2s

s = 260

Substituting this value back into either of the equations gives:

281 = 260 + w

w = 21

Therefore, the speed of the jet in still air is 260 mph and the speed of the wind is 21 mph.

Step-by-step explanation:

The statements which are true about parallel lines are;

Parallel lines in their simplest description are lines which would never meet or cross each other under any circumstance.

Also, It follows from line geometry that such lines have the same slope and are coplanar, exist in the same plane.

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Answer:

  a. h(4) = -207

  b. h(-2y) = 24y³ +12y +9

  c. h(5b+3) = -375b³ -675b² -435b -90

Step-by-step explanation:

You want the simplified form of h(y) = -3y³ -6y +9 for using 3 different values of y.

The expression is evaluated by putting the argument where y is, then simplifying the resulting expression.

  \(h(4)=-3(4)^3 -6(4) +9 = -3(64) -24 +9\\\\\boxed{h(4) = -207}\)

  \(h(-2y)=-3(-2y)^3-6(-2y)+9=-3(-8y^3+12y+9\\\\\boxed{h(-2y)=24y^3+12y+9}\)

  \(h(5b+3)=-3(5b+3)^3-6(5b+3)+9=-3(125b^3+225b^2+135b +27) -30b-18+9\\\\\boxed{h(5b+3)=-375b^3-675b^2-435b-90}\)

__

Additional comment

It can be useful to remember that ...

  (a +b)³ = a³ +3a²b +3ab² +b³

Answer:

i got 48000

Step-by-step explanation:

20x40x60

when solving volume you multiply the length times width times height.

Given the graphs in the question, we are asked to find the solutions to the graph.

In getting the solution of a graph, its the x values that we are to be looking for since the solution of a graph is gotten when y is equal to zero.

The solution is gotten when the line cuts the coordinates of x and y when the y is at zero.

So, the graph given is a combination of both a linear and a quadratic graph.

The solution for linear graph is x = 1.5, because that is the point where the line cuts the x-axis when y is equal to zero

The solution for the Quadratic is x = -1 and 1. Since its a curve, it cuts the x-axis both on the negative and the positive.

Therefore, the solutions to the followijng systems are -1, 1 and 1

Answer:

Perimeter: 33.7 mm

Area: 54 mm

Step-by-step explanation:

If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = \(\frac{1}{2}\) x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.

Answer: No

Step-by-step explanation:

to be proportional, both numbers have to increase by the same number

because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Answer:

sec(∠F) = \(\frac{41}{9}\)

Step-by-step explanation:

In triangle EFD,

m∠F = 90°

Adjacent side of ∠E = EF = 9 units

Opposite side of ∠E = DF = 40 units

Hypotenuse = DE = 41 units

For secant of ∠E ,

sec(∠E) = \(\frac{\text{Hypotenuse}}{\text{Adjacent side}}\)

            = \(\frac{41}{9}\)

Therefore, \(\frac{41}{9}\) is the ratio of secant of ∠F.

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Red Graph: y = x^2 -4x - 5

Blue Graph: x = 2  Axis of symmetry

Points

x intercepts (-1,0),(5,0)

y intercepts: (0,-5)

vertex: (2,-9)

Note: it is just a matter of putting the function on the graph and than read what you are asked for. Between this part of the answer, and the graphs, you should be able to see what you are asked for.

Answer:

30

Step-by-step explanation:

15+4.4+9.6