Resuelva y responda a la pregunta: Andrés es mayor que su hermano Alex. Dentro de 3 años, la edad de Alex será la edad que tiene ahora Andrés y, dentro 9 años, la edad de Andrés será el doble de la edad que Alex tiene ahora. ¿Qué edades tienen los hermanos?

Answer:

[tex]\displaystyle x \approx 16.5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

Answer:

it is basically the radius times 2 and then times 3.14

Step-by-step explanation:

439.6! :D

Answer:

A

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 )

y = 6x - 4 ← is in slope- intercept form

with y- intercept c = - 4 → A

Exponential functions do not have a vertex.

"Exponential function, as its name suggests, involves exponents. An exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

In mathematics, an exponential function is a function of form [tex]f(x) = a^{x}[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0."

"The standard form of a quadratic equation is y = ax² + bx + c and the vertex form of the same is y = a (x - h)² + k. Here, the vertex form has a square in it. So to convert the standard to vertex form we need to complete the square."

We know that, the graph of an exponential function consists of a horizontal asymptote. However, there is no quadratic function available that consists of a horizontal asymptote.

Hence, exponential functions do not have a vertex.

Learn more about an exponential function here: https://brainly.com/question/14355665

#SPJ2

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:  

[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]

10 does equal 10, so this is a true statement. Option C is the right answer.

Answer:

Infinite Solutions

Step-by-step explanation:

Simplify both sides and you will see they are equivalent meaning that it has infinite solutions

Answer:

-5×-5>15

+5 +5

-5×>20

÷-5 ÷-5

x<-4

whe you divide by a negativr you flip the sign

Answer:

y=200(1.13)^6= 416.39

Step-by-step explanation:

Answer:

Answer in the image below \/

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear

Step-by-step explanation:

Given:

Base of the larger figure = 30 yd

Base of the smaller figure = 12 yd

To find:

a) The ratio of the perimeters of the larger figure to the smaller figure.

b) the ratio of the area of the larger figure to the smaller figure.

Solution:

a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.

The given figures are similar. So, the ratio of the perimeters is:

[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]

[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]

b) The ratio of area of similar figures is equal to the ratio of squares of their sides.

[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]

[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]

[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]

Therefore, the correct option is A.

Answer:

x = 8

Step-by-step explanation:

because wy bisects XZ , XY and ZY are equal so ..

2x+3=3x-5

then x is 8❤

Answer:

36 meter square

Answer:

19)A   20)A    21)A      22)C     23)D    24)D    25)B      26) A     27)B

28) A     29)B      30)A    31) The surface area of Tina's shoebox is 184a..

u can check the answers if u wantt !! :)

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = [tex]1485\times\dfrac{10}{55}=270[/tex]

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

Answer:

the answer is a

Step-by-step explanation:

Answer:

68 inches squared

Step-by-step explanation:

First, let's find the area of the squares at the top and bottom. Area for a square is:

L * W = A

Plug in the values...

3 * 3 = 9

Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:

7 (total width) - 3 (middle width) / 2 (because there are two sides)

So it is:

(7 - 3)/2

4/2 = 2

So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:

(B * H)/2 = A

Fill it in...

(2 * 5)/2

10/2 = 5 inches

So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:

5 * 4 = 20 inches

That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...

L * W = A

10 * 3 = 30

So, that means that the area of the hexagon is:

30 + 20 = 50

Plus, the two squares from the beginning:

50 + 18 = 68 inches squared

Therefore, the area of the figure is 68 inches. Hope this helps you!

Answer:

Part A)

The polynomial is:

[tex]A=4(x+8)(x+10)[/tex]

Or, expanded:

[tex]A=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.

Step-by-step explanation:

Part A)

For solely the picture, the width is 16 inches, and the length is 20 inches.

If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.

Likewise, the new length will be (20 + 2x) inches.

The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:

[tex]A=(16+2x)(20+2x)[/tex]

To simplify calculations, we can factor out a two from both factors. Thus:

[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]

Expanded, this will be:

[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two, x = 2. Then the area is:

[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]

The area of the picture including the frame will be 480 square inches.

Answer:

Step-by-step explanation:

hello : here is an solution

The question is incomplete as the length of the shelf and aquarium isn't given. However, steps to take in other to make the estimation of centering the aquarium on the shelf would be described.

Answer:

Kindly check explanation

Step-by-step explanation:

Let :

Lenght of shelf = x

Length of aquarium = y

Usually, the length of shelf will be > length of aquarium

The shelf will have the right and left hand side ;

Subtract Length of aquarium from length of shelf and divide the difference by 2 ;

(x - y) / 2 ; this will give the space or length left on either side of the shelf with the aquarium centered in the middle.

Hence, the aquarium should be placed at (x - y) / 2 meters either to the right or left of the shelf.

Just input the omitted values of shelf length and aquarium length to obtain the solution.

Answer:

V = 3261.16

Step-by-step explanation:

Given:

P = 1380

r = 8.6% or 0.086

t = 10

Work:

[tex]V=Pe^{rt}\\\\V=1380e^{0.086*10}\\\\V=1380e^{0.86}\\\\V=3261.16[/tex]

Answer:

2 answers

Step-by-step explanation:

factor: 2π(hr+π)

evaluate: 2π(hr+π)

hope that helps

Answer:

255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees

Step-by-step explanation: