What is the measure of ?ХvO A. 46°42°42"38°NуvO B. 42°O C. 40°O D. 38°

The triangles are not similar. Triangle EFG and Triangle QRS are not similar. ΔEFG not ~ ΔQRS

From the question, we are to determine if the given triangles are similar

From one of Triangle similarity theorems, AA (or AAA) or Angle-Angle Similarity theorem.

The Angle-Angle similarity theorem states that If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other

In the given diagram,

In triangle EFG

m ∠E = 104°

m ∠F = 45°

m ∠G = 180° - (104° + 45°) = 31°

In triangle QRS

m ∠R = 100°

m ∠Q = 45°

m ∠S = 180° - (100° + 45°) = 35°

Since no two angles of one of the triangles are equal to any two angles of other triangle, the triangles are not similar

Hence,

ΔEFG not ~ ΔQRS

Learn more on Similar triangles here: https://brainly.com/question/30729396

#SPJ1

Answer:

yes b = c .................

La ecuación cuadrática y² - 8 es una diferencia de cuadrados, cuya forma es (y + 2√2) · (y - 2√2).

Tenemos una ecuación cuadrática de la forma y² - a², donde a es un número real. Según el álgebra de los números reales, esta expresión si corresponde a una diferencia de cuadrados, definida a continuación:

y² - a² = (y + a) · (y - a)

Si tenemos a² = 8, entonces a = √8 = 2√2 y se tiene la siguiente expresión:

y² - 8 = (y + 2√2) · (y - 2√2)

Para aprender más sobre las diferencias de cuadrados: https://brainly.com/question/26147909

#SPJ1

The number of adults is 882 adults.

The number of teenagers is 252 teenagers.

The number of children is 441 children.

From the information, 1575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under.

The number of adults will be:

= 56% × 1575.

= 882 adults

The number of teenagers will be:

= 16% × 1575

= 252 teenager

The number of children will be:

= 28% × 1575

= 441 children

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

Answer:

Number of adults

56/100×1575=882

Number of teenagers

16/100×1575=252

Number of children

28/100×1575=441

Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

Answer:

you can draw < > ≤ ≥ as duck mouths or something.

and the symbol ≠ can be inputed as a wire or dog leash, so if I had to draw this, draw a park where there is a lake on the right side then have a bench where an old man or a little child is feeding ducks with little bits of breab with its beaks opened then have like, a girl jogging with her dog and put ≠ as a leash for the dog and that's all I got. If you want more add street lights hanging above like triangles.

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

For more question on function

https://brainly.com/question/11624077

#SPJ8

Answer:

English please. i cant speak espanol

Answer:

200+50x

Step-by-step explanation:

Answer:

That line has to be 180 degrees so we can put the equation like this:

2(x + 52) + (6x + 188) = 180

8x + 292 = 180

Then we subtract 292 from both sides

8x = -112

Then we divide to get

-14 .

X = -14 :)

Step-by-step explanation:

Answer:

x = -45

Explanation:

Given angles form a straight line together so they are supplementary angles and their sum is equal to 180°.

We can write the following equation based on this information to find the value of x:

6x + 188 + 2(x+52) = 180

6x + 188 + 2x + 102 = 180

8x + 300 = 180

8x = -120

x = -45

Answer:

Step-by-step explanation:

One of the method of analysing the distribution of a dataset is by finding the mean of the dataset which is part of the measure of central of tendency.

Mean of a dataset is also known as the average and it is the ratio of the sum of the individual dataset to the sample size.

Mathematically xbar = ΣXi/N where

ΣXi is the sum of the individual dataset

N is the sample size

xbar is the mean

From the formula,  ΣXi = xbar * N

This means that the sum of the individual dataset (all values in the dataset) is equal to the product of the mean (xbar) and the sample size(N).

Hence the statement that In any sample data set, the sum of all the values is equal to the product of the mean and the sample size."is TRUE

Answer:

67.

Step-by-step explanation:

First we find the mean:

Mean is add up everything and divide by how much numbers there are.

The numbers are:

\(49, 65, 41, 38, 87, 55, 95, 106\).

So we add them up which is 536.

Then we divide by how much numbers there are.

There are 8 numbers so 536/8 which is 67.

Hope this helps :D

Using division, we can prove that there are models that we can use to prove 7 divided by 2 is = 7/2.

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many groups will be created, for instance, if a sports event requires that 30 students be divided into groups of 5 students. The division operation makes it simple to tackle such issues. Divide 30 by 5 in this case. The outcome is 30 x 5 = 6. There will thus be 6 groups, each with 5 pupils. By multiplying 6 by 5, which yields the initial figure of 30, you can confirm this value.

Here in the question,

We have to model to find 7 divided by 2 = 7/2.

For the two math classes, 7 pizzas have been delivered.

Half of the first pizza is distributed to each class.

A half of the second pizza is distributed to each class.

Third pizza, cut in half, with half going to each class.

Continue until each class receives 7 halves, or 7/2, of the pizzas that were delivered.

To know more about division, visit:

https://brainly.com/question/21416852

#SPJ9

Answer:

The total surface area is 782 inches

Step-by-step explanation:

I do not know the lateral answer sorry

The remaining area of forest after 12 years will be equal to 919.6 km².

What is depreciation in value ?

Depreciation refers to the value of something after it decreases over time or goes down over time.

It is given that area of forest is 2400 km². The decrease in area is of 8%.

Here ;

t = 12 years

r = 8%

We know that the depreciation in area is represented by formula which is :

Depreciation in Area (D) = A × \([1 - \frac{r}{100}]^{t}\)

where ; A = area of forest , r is rate of decrease in area and t is time in years.

So , the depreciation value will be :

D = 2500 × \([1 - \frac{8}{100}]^{12}\)

D = 2500 × [(1 - 0.08)^12]

D = 2500 × \(0.92^{12}\)

D = 2500 × 0.3676

D = 919.6 km²

Therefore , the remaining area of forest after 12 years will be equal to 919.6 km².

Learn more about depreciation here :

https://brainly.com/question/25297296

#SPJ1

She saved $1500 for retirement.

Data;

This is usually a number that is shown as a quotient in which a numerator is divided by the denominator

This is the ratio of one value to another compared to the entire value.

This is 5/11 of 3300

In this case, 5 is the numerator and 11 is the denominator.

\(\frac{5}{11} * 3300 = 1500\)

From the calculation above we can see that 5/11 of 3300 is 1500 and she saved $1500 for retirement.

Learn more on fractions here;

https://brainly.com/question/2929160

Answer:

=468 m^2

Step-by-step explanation:

Surface area of a prism is

SA = 2 (lw + wh + hl)  where l is length, w is width and h is height

SA = 2 ( 12*6 + 6*9 + 9*12)

      = 2 ( 72+54+108)

      = 2(234)

       =468 m^2

Answer:

28

Step-by-step explanation:

-4+-7=28 you just reverse the division problem

Answer:

x/-7=-4

to get rid of -7, multiply -7 on both sides of the equation

(-7)x/-7=-4(-7)

x=28

Answer:

51,000 thousand

Step-by-step explanation:

the miles are above 500 , 600 so they rounded up to 51,000

Hope that helped :) have a great day !

Answer:

The distance driven by the McAlister family car in one year, to the nearest thousand, is 51,000 miles

Answer:

(4)

Step-by-step explanation:

Let's make the smaller number equal to x. Since they are consecutive odd numbers, the larger number is x+2.

Twice the smaller number is 2x. Three times the larger number is 3(x+2). If twice the smaller is subtracted from three times the larger, then the expression should be: 3(x+2) - 2x

Then, since the result of this is four more than the smaller, this expression is x+4.

Finally, we put it all together, so we get: 3(x+2) - 2x = x + 4. Option 4 is our correct answer.

Hence, the option (4) is correct.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Two numbers are consecutive odd integers. If twice the smaller is subtracted from three times the larger, the result is four more than the smaller.

Let us assume the smaller number is \(x\).

The larger number is  \((x+2)\).

Two numbers are consecutive odd integers. If twice the smaller is subtracted from three times the larger than it is

\(3(x+2)-2x\)

So, the result is four more than the smaller.

i.e., \(3(x+2)-2x=x+4\)

Hence, the option (4) is correct.

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

Answer:

No, because 2(3x-5)=6x-10, and 6x-10 is not equal to 6x-8

Step-by-step explanation:

Answer:

$28

20 plus 40 percent

that's the answer

Answer:

60³

Step-by-step explanation:

Hi again.

This time we are working with a triangular prism which is a bit trickier than a rectangular prism but it is still pretty easy once you know the formula.

The formula for a triangular prism is :

V = 1/2 x b x h x l

Or in full terms :

Volume = 1/2 x Base x Height x Length

So basically we are going to plug in the base , height, and width like we did before but this time at the end we are going to divide it in half.

So like last time, lets look at what we are given :

Base = 5

Height = 3

Length = 8

And now we put these numbers into the formula :

Volume = 1/2 x Base x Height x Length

Volume = 1/2 x 5 x 3 x 8

Lets save the 1/2 for last and do the others first.

So we can do 5 x 3 and get 15.

Then 15 x 8 and we get 120.

Now the equation is literally :

Volume = 1/2 x 120

(This is the same as 120 / 2 just in multiplication terms)

So lets do this :

120 / 2

=

60

So now we have your answer :

Volume = 60³

(Don't forget the little 3)

Again, I hope this helps!

Any questions or concerns please comment or message me ofc :)

\(4x + 7 - (x + 6) = 68 \\ \\ 4x + 7 - x - 6 = 68 \\ \\ 3x + 1 = 68 \\ \\ 3x = 68 - 1 \\ \\ 3x = 67 \\ \\ x = \frac{67}{3} \\ \\ x = 22.3\)

The value of x is 67/3 or 22.3 .

Hi!

__________________________________________________________

\(\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup\)

x=

\(\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup\)

First let's distribute the minus sign.

\(\twoheadrightarrow\sf 4x+7-x-6=68\)

\(\bullet\) Add 6 to both sides

\(\twoheadrightarrow\sf 4x+7-x=74\)

\(\bullet\) Subtract the x's

\(\twoheadrightarrow\sf 3x+7=74\)

\(\bullet\) Subtract 7 from both sides

\(\twoheadrightarrow\sf3x=67\)

\(\bullet\) Divide both sides by 3

\(\twoheadrightarrow\sf x=\cfrac{67}{3}\)

\(\bullet\) Great job! We solved for the variable

--

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}\)

--

Answer:

Step-by-step explanation:

The key features of a quadratic function are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex)

for opposite: Its reflection and its symmetrical

opposite function or inverse functions are reflections of each other over the line y = x. You find the inverse by switching x and y in the equation.

The derivative of g(x)=√9-x​ is  mathematically given as

\(\frac{d}{d x}\left[x^n\right]$\)is \($n x^{n-1}$\)

This is further explained below.

\(g(x)=\sqrt{9}-x\)

Rewrite 9 as 3^2.

\(\frac{d}{d x}\left[\sqrt{3^2}-x\right]\)

Pull terms out from under the radical, assuming positive real numbers. \(\frac{d}{d x}[3-x]\)

Differentiate.

By the Sum Rule, the derivative of 3-x with respect to x is

\($\frac{d}{d x}[3]+\frac{d}{d x}[-x]$.\)

\($\frac{d}{d x}[3]+\frac{d}{d x}[-x]$\)

Since 3 is constant with respect to x, the derivative of 3 with respect to x is 0 .

\($0+\frac{d}{d x}[-x]$\)

Evaluate

\(\frac{d}{d x}[-x]$.\)

Since -1 is constant with respect to x, the derivative of -x with respect to x is -\frac{d}{d x}[x].

\(0-\frac{d}{d x}[x]\)

Differentiate using the Power Rule which states that

t\(\frac{d}{d x}\left[x^n\right]$\)is \($n x^{n-1}$\)

In conclusion,

Read more about derivatives

https://brainly.com/question/25324584

#SPJ1

The length of segment AB is,

AB = 9 units

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

In triangle ADC,

AC = 9

AD = 16

Hence, We have;

Line l is divide the base AC in two equal parts.

Hence,

⇒ AB = AC

This gives,

AB = 9 units.

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ7