Madi is 5 times as old as Brecken. In 12 years, she will be twice as old as he will be then. How old are they now?

The interior angle of a regular hexagon is 120°. As two hexagons share a side, [tex]\( x \)[/tex] equals 120°.

In the given diagram, two regular hexagons share a common side, and an interior angle marked as [tex]\( x \)[/tex] is formed by the sum of the interior angles of the two hexagons. The interior angle of a regular hexagon is [tex]\( \frac{{180^\circ \times (n-2)}}{n} \)[/tex], where [tex]\( n \)[/tex] is the number of sides. For a hexagon [tex](\( n = 6 \))[/tex], this angle is [tex]\( \frac{{180^\circ \times (6-2)}}{6} = 120^\circ \)[/tex].

Considering the interior angles of both hexagons and the angle [tex]\( x \)[/tex], the equation [tex]\( 120^\circ + 120^\circ + x = 360^\circ \)[/tex] arises, as the sum of angles around a point is 360°. Solving for [tex]\( x \) yields \( x = 120^\circ \).[/tex] Therefore, the measure of angle [tex]\( x \)[/tex] in the diagram is 120°.

This solution demonstrates the application of the interior angle formula for a regular hexagon and the consideration of the total angle around a point, resulting in the determination that [tex]\( x \) is indeed \( 120^\circ \).[/tex]

For such more questions on hexagon

https://brainly.com/question/30384520

#SPJ6

Answer:

(-1, 9)    (he x value is placed first).

Step-by-step explanation:

y = -3x + 6

y = 9

Substitute y = 9 into the first equation:

9 = -3(x) + 6

-3x = 9 - 6

-3x = 3

x = -1.

Answer : no solution

Step-by-step explanation:

The system of the equations have infinitely many solutions.

The solution of the equation means the value of the unknown or variable.

The linear equation of two variable is given below.

6x + 3y = –12

6x + 3y + 12 = 0  ...1

   –2x + 4 = y

2x + y – 4 = 0  …2

The standard equations are given as

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

Compare equation 1 and 2 with the standard equation. Then we have

a₁ = 6, b₁ = 3, c₁ = 12

a₂ = 2, b₂ = 1, c₂ = –4

If the ratio of the coefficient of x and y are different, then unique solution.

If the ratio of the coefficient of x and y are same, but constant term ratio is different, then no solution.

If the ratio of the coefficient of x and y and constant term is same, then infinitely many solutions.

a₁ / a₂ =  6/2 = 3

b₁ / b₂ =  3/1= 3

c₁ / c₂ =  12/(-4) = -3

Then the condition will be

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂

The system of the equations have infinitely many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

The answer is A)

Step-by-step explanation:

A)-15+1=14

B)0+12=12

C)1+11=12

Answer:

Area of a triangle formula is 1/2 x base x height

Area of the garden = 1/2 x 25 x 10 = 125 square feet.

1 bag covers 10 square feet, divide total area by 10"

125 / 10 = 12.5

She will need to buy 13 bags.

Answer:

it would be

bumblebee

mosquito

honey bee

Step-by-step explanation:

The insect wing pitch from lowest to highest is mosquito (600 flaps per second), honey bee (220 flaps per second), and bumblebee (145 flaps per second).

The insect wing pitch from lowest to highest would be as follows:

The mosquito has the highest wing pitch as it flaps its wings at 600 times per second, followed by the honey bee at 220 flaps per second, and the bumblebee at 145 flaps per second.

https://brainly.com/question/27960461

#SPJ2

Answer:

There fore the probability that the counters are blue is [tex]\frac{15}{39}[/tex]

Step-by-step explanation:

There are a total of 14 red counters and 39 in total. The total of red counter can be represented as a fraction of [tex]\frac{14}{39}[/tex]. To find out the number of blue counter we subtract 14 from 39. This gives us 25. This is [tex]\frac{15}{39}[/tex]. Therefore the probability that the counters are blue is

Answer:

25/39

Step-by-step explanation:

The total is 39

Red=14

So to determine blue,it will be

39-14=25

So blue will be 25

So to determine the probability for picking blue

It will be

25/39

Since there's no common number that can divide the two

The final answer is 25/39

Hello! Your answer is D. 130. I hope this helps and I hope that you have a nice day!

~Mika

Answer:

x=9

Step-by-step explanation:

3.5x - 11 = 20.5

Add 11 to each side

3.5x - 11+11 = 20.5+11

3.5x = 31.5

Divide each side by 3.5x

3.5x/3.5 = 31.5/3.5

x =9

Answer:

x=9 (don't look at explanation)

Step-by-step explanation:

Let's solve your equation step-by-step.

3.5x−11=20.5

Step 1: Add 11 to both sides.

3.5x−11+11=20.5+11

3.5x=31.5

Step 2: Divide both sides by 3.5.

3.5x

3.5

=

31.5

3.5

x=9

Answer:

x=9

The missing side length in the triangle with a hypotenuse of 85 and perpendicular of 84 is 13.

To find the missing side length a in the right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, in this case, we have:

[tex]\[ \text{hypotenuse}^2 = \text{perpendicular}^2 + \text{base}^2 \][/tex]

Given:

- Hypotenuse ( c ) = 85

- Perpendicular ( b ) = 84

- Base ( a ) = ?

Substituting the given values into the Pythagorean theorem equation:

[tex]\[ 85^2 = 84^2 + a^2 \][/tex]

[tex]\[ 7225 = 7056 + a^2 \][/tex]

Now, subtract 7056 from both sides:

[tex]\[ 169 = a^2 \][/tex]

To solve for a, take the square root of both sides:

[tex]\[ a = \sqrt{169} \][/tex]

a = 13

So, the missing side length ( a ) is 13.

Therefore, the correct answer is option D: 13.

Hope this will help u....

Answer:

$6.89

Step-by-step explanation:

Since she spent $4.69 and $5

She has the total amount of$16.58

So let's solve

4.69+5

9.69

So the amount spent will be deducted from the total amount in her account

16.58-9.69

6.89

So the amount left is $6.89

The expression [tex](-5/7)^8*(-5/7)^9[/tex] simplifies to [tex](-5/7)^{17[/tex] by adding the exponents, as multiplication of powers with the same base results in adding the exponents.

To simplify the expression [tex]\((-5/7)^8 \cdot (-5/7)^9\)[/tex], you can add the exponents since the bases are the same. When you multiply two powers with the same base, you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex]. Therefore, the expression simplifies to [tex]\((-5/7)^{17}\)[/tex]. When multiplying powers with the same base, like [tex]\((-5/7)^8\)[/tex] and [tex]\((-5/7)^9\)[/tex], you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex].

This means that when you multiply these two expressions together, you end up with the base raised to the power of 17, which is [tex]\((-5/7)^{17}\)[/tex]. This is a fundamental property of exponents, where you can combine like terms to simplify expressions. In this case, the final expression represents the product of the two original expressions raised to the power of 17.

So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]

To simplify the expression [tex]$(-5 / 7)^8 \cdot(-5 / 7)^9$[/tex]  we can combine the bases and add the exponents since they have the same base:

[tex]$\begin{gathered}(-5 / 7)^8 \cdot(-5 / 7)^9=(-5 / 7)^{8+9} \\ =(-5 / 7)^{17}\end{gathered}$[/tex]

So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]

a. -7  < |-9|

b. 2 > -2

c, |-5| = |5|

Answer: A: <

B: >

C: =

Step-by-step explanation: that is the absolute value, you find the absolute value and then see which is bigger or smaller

Answer:

A : False

B : False

Step-by-step explanation:

A : The mode of a data set is whichever number comes up the most.

8 comes up the most times, so 8 is the mode.

B : The median is a number which is in the middle of a data set

This is the data set as a list of numbers :

2, 5, 5, 5, 6, 6, 8, 8, 8, 8

the two sixes are in the middle, if there are 2 numbers in the middle, add them together and divide by two,

6 + 6 = 12

12 / 2 = 6

6 is the median.

Final answer:

The question relates to data analysis in Mathematics, focusing on the mode and median within a data set, which cannot be determined without the provided figures. The median is the middle value in an ordered data set, while the mode is the most frequent value.

Explanation:

The subject of this question is Mathematics, specifically focusing on concepts related to data analysis such as mode, median, and box plots. Without the actual dot plot or box plot figures provided, we cannot verify the true or false nature of the statements provided. However, generally, the mode is the number that occurs most frequently in a data set, and the median is the middle number when the data set is ordered from least to greatest. To construct a box plot for a given data set, you would need to calculate the minimum, first quartile, median, third quartile, and maximum of the data. These five statistics are then used to create the box plot, which provides a visual representation of the data distribution.

When discussing the median in a box plot, it is the value that divides the data set into two equal halves. The mode in contrast, may or may not correspond to any of the box plot’s five statistical summaries; it entirely depends on the frequency of the individual values.

Answer: x=3

Step-by-step explanation:

2 times (x)= 2x + 6 = 18 (equation) Then you multiply the 2 • 6 = (12) then subtract the 18-12 and you get 6 then you go back to the 2x and think what would (x) have to be for me to get the answer (6) then you think 2x3 = 6 then you get your answer of (3)

I hope this works for you bc this was the way I was taught.

Replace the variable x with 1 in the expression

f(1)=5(1)−(1)+1

f(1) = 5

Replace the variable x with 1 in the expression.

g(1)=−3⋅1

g(1) = -3

Multiply 5 by −3

.

−15⋅1

Multiply −15

by 1

.

−15

Thus, the answer is -15

I am unsure about this answer, I have doublechecked it several times.  Please take this with a grain of salt

Answer:

v=23160.24

Step-by-step explanation:

v= r^2 * h * π

19.6 ^2 = 384.16                                                               r = d/2

384.16 * 19.2 * 3.14                                                          39.2 / 2 = 19.6

23160.24

Hope this isn't too confusing!

Answer:

Divided by 3

1

1/3

1/27

Step-by-step explanation:

Answer: Divide by 3, 1, 1/3, 1/27

Step-by-step explanation:

Answer:

the answer is benito or 2

Step-by-step explanation:

Answer:

benito

Step-by-step explanation:

100% edge 2020! :)))

Answer:

28.5 units squared

Step-by-step explanation:

8x3 is the bottom rectangle and added 3x3x0.5 cuz it is a triangle. Add the areas and u get 4.5+24 or 28.5 units squared

Answer:

9.647×10^7

Step-by-step explanation:

The decimal is moving to the left so the 7 is positive.

Answer:

x² + (y + 4.3)² = 131

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 0)² + (y - -4.3)² = (sqrt131)²

x² + (y + 4.3)² = 131

The total cost of her haircut was 28 dollars

step by step:

(percentage) 15 x 6 = 90

4.20 x 6 =25.2

(perscentage) 15 divided by 3 = 5

4.20 divided by 3 = 1.4

1.4 + 1.4 = 2.8

25.2 + 2.8 =28

Final answer:

The total cost of the haircut before adding the tip was $28.00, found by setting up an equation where 15% of the total cost is equal to the $4.20 tip and solving for the total cost.

Explanation:

To calculate the total cost of the haircut that resulted in a $4.20 tip given at the rate of 15%, we need to set up a proportion where 15% of the total cost equals $4.20.

Step 1: Represent the unknown total cost of the haircut by the variable x.

Step 2: Set up the equation representing the tip as 15% of the total cost (0.15x = $4.20).

Step 3: Solve for x by dividing $4.20 by 0.15.
x = $4.20 / 0.15
x = $28.00

Therefore, the total cost of the haircut before adding the tip was $28.00.

Answer:

B, C, E are true

Step-by-step explanation:

A = l*w

The original rectangle is 6 by 4  with A = 24

The 1st enlargement = 6*3 by 4*3

                                   18 by 12  with A = 216

The second enlargement is 18*3 by 12*3

                                              54 by36 with A =1944

A.The area of the first enlargement is 72 square inches.

False it is 216

B.The area of the second enlargement is 1,944 square inches.

True

C.The area of the second enlargement is (3 squared) squared times the original area.

216/24 =9  True

D.The area of the second enlargement is 3 times the area of the first enlargement.

1944/24 = 9  False

E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

The scale factor is 3 3^2 =9 216/24 =9

True

Answer:

Option c: -v(t) = 25000(0.975)

Step-by-step explanation:

Kindly check the attached file for explanation

To represent the number of visitors to the Booneville History Museum t years after 1980, the correct function is D-v(t) = 25000(1.025).

To represent the number of visitors to the Booneville History Museum t years after 1980, we can use the formula v(t) = 25000(1 - 0.025)^t. This is because the number of visitors decreases by 2.5% each year. The term (1 - 0.025)^t represents the decay factor where t is the number of years after 1980.

Therefore, the correct function to represent the number of visitors to the Booneville History Museum t years after 1980 is D-v(t) = 25000(1.025).

Answer:

37.7 inches

Step-by-step explanation:

[tex]C = 2\pi r = 2 \times 3.14 \times 6 = 37.68 \\ \\ \huge \: C \approx37.7 \: inches[/tex]

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.  

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

[tex]A_{base} = s^{2}[/tex]

[tex]A_{base} = (6 in)^{2}[/tex]

[tex]A_{base} = 36 in^{2}[/tex]

To calculate the area of a lateral face, find the area of a triangle.

[tex]A_{lateral} = \frac{bh}{2}[/tex]

[tex]A_{lateral} = \frac{(6 in)(9 in)}{2}[/tex]

[tex]A_{lateral} = \frac{54 in^{2}}{2}[/tex]

[tex]A_{lateral} = 27 in^{2}[/tex]

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

The area of the pyramid's base is 36 square inches. The pyramid has 4 lateral faces, each with a surface area of 27 square inches. The total surface area is 144 square inches.

Area of the Base :

Lateral Faces :

Surface Area of Each Lateral Face :

Total Surface Area :

Therefore, area of the pyramid's base is 36 square inches, the pyramid has 4 lateral faces, each with a surface area of 27 square inches and the total surface area is 144 square inches.

Answer:

s has an x-coordinate of 4

Step-by-step explanation:

the coordinate is (4,-5)

Answer:

x=5

Step-by-step explanation:

3x+8=2x+13

x+8=13

x=5