Find the measure of the missing angles.

Step-by-step explanation:

Rectangle area= 40×30= 1200cm²

Triangle area= 20×20= 400cm²

Total are of composite figure= 1200+400=1600cm²

Answer:

[tex]f^{-1}(13) = 2[/tex].

Step-by-step explanation:

For function [tex]f[/tex], the notation [tex]f(2) = 13[/tex] means that when the input to the function is [tex]2[/tex], the output would be [tex]13[/tex].

The inverse function of a one-to-one function [tex]f[/tex] is commonly denoted as [tex]\!f^{-1}[/tex].

The inverse function undoes the action of the original function. In this question, [tex]f[/tex] maps [tex]2[/tex] to [tex]13[/tex]. Thus, [tex]f^{-1}[/tex] would need to map [tex]13\![/tex] back to [tex]2\![/tex]. Therefore, [tex]f^{-1}(13) = 2[/tex] should be the corresponding input and output values.

Answer:

gravity is the force that helps u stay on the earth

Step-by-step explanation:

here is your answer, this is how you do it

Answer:

[tex]\boxed{\bf G. \: x = {25}^{o}} [/tex]

[tex]\boxed{\bf H. \: x = {20}^{o} }[/tex]

Step-by-step explanation:

In the given figure, the linear pairs are supplementary angles, meaning they should add up to 180°.

G)

H)

«••••••••••••»«•••••••••••••»

Answer:

375, 1875,

Step-by-step explanation:

hope this helps :)

Answer:

The answer would be x = -1 and y = 3

Step-by-step explanation:

Work is as shown:

1) -8x - y = 5

   y = x + 4

2) -8x - (x+4) = 5

3) -8x -x = 9

4) -9x/-9 = 9/-9

5) y = -1 + 4 = 3

If there are any questions or if i didn't answer the question reply with the question please.

Answer: The function c(p) represents the cost for (P) people to attend the movies.

The function t(m) represents the average high temperature for a given number of months.

Step-by-step explanation:

Answer:

This equation has no solution

Step-by-step explanation:

if the same equation equals 2 different numbers then therefore there is no solution.

Answer:$0

Step-by-step explanation:

Answer:  CD segment

Step-by-step explanation:  

[tex]\left( 8^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies \left( (2^3)^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies 2^{3\cdot \frac{2}{3}\cdot \frac{1}{2}}\implies 2^{\frac{1}{1}}\implies 2[/tex]

Answer:

g(x) = (x + 31)

f(x)= 3x-9

3×x-9= -9+3×x

=-6x

g(x)=(x+31)

1×x+31=32+1×x

=32x

h(x)=2x-16

2×x-16= 16+2×x

=18x

j(x)= -5(x-2)2

(-5x+10)2

-10x+20= 10×x+20

=20-10×x

=10x

Answer:

Step-by-step e6/8 or in simple terms, 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

1/2 is just 2/4

2/4+1/4 = 3/4

=)

Answer:21x^2+14x over 2

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

a)

b)

Answer:

a) 23 °C

b) 5.81 m² (2 dp)

Step-by-step explanation:

This set of data is presented as a Dot Plot.

The frequency (how often a data value occurs) is represented by the number of dots above each data value.

For example, in this dot plot, there are 3 dots above the data value 21 °C and so this means that there are three of this particular data value in the set of data.

To find the mean, we need to multiply each data value by its frequency, add them up, then divide by the total frequency.

[tex]\begin{aligned}\textsf{mean}&=\dfrac{3 \times 21+1 \times 22+2\times 23+5\times 24+1\times 25}{3+1+2+5+1}\\\\ & = \dfrac{63+22+46+120+25}{12}\\\\& = \dfrac{276}{12}\\\\&=23^{\circ} \sf C\end{aligned}[/tex]

This set of data is presented as a stem and leaf diagram, where the units and tenths are split.  The units column is the 'stem' and the tenths become the 'leaf'.

Therefore, the first row of this stem and leaf diagram represents 2 data values: 4.3 and 4.8

To find the mean, sum the data values, then divide by the total frequency.

To find the total frequency, simply count the number of values in the leaf part of the diagram.

Data values = 4.3, 4.8, 5.1, 5.1, 5.2, 5.5, 5.7, 6.6, 6.9, 7.3, 7.4

Total frequency = 11

[tex]\begin{aligned}\textsf{mean} &=\dfrac{4.3 + 4.8 + 5.1+5.1+5.2+5.5+5.7+6.6+6.9+7.3+7.4}{11}\\ & = \dfrac{63.9}{11}\\\\& = 5.81\:\textsf{(2 dp)}\end{aligned}[/tex]

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Given that x varies inversely with y, x=6 when y=-4, find y when x=8.

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

If x varies inversely with y, we divide.

So the formula looks as follows:-

[tex]\bold{x=\displaystyle\frac{k}{y} }[/tex]

where k = constant of proportionality

Plug in the values:-

[tex]\bold{6=\displaystyle\frac{k}{-4}}[/tex]

Multiply both sides by -4:-

[tex]\bold{-24=k}[/tex]

Now find y when x=8:-

[tex]\bold{8=\displaystyle\frac{-24}{y}}[/tex]

Multiply both sides by y:-

[tex]\bold{8y=-24}[/tex]

Divide by 8 on both sides:-

[tex]\dashrightarrow\bigstar{\boxed{\boxed{\underline{\bold{y=-3}}}}\dashleftarrow[/tex]

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Answer:

129 cubic inches

Step-by-step explanation:

lxwxh L=Length W=Width H= Height

Length times width times height gives you the volume

1. convert all numbers to inches

2. Multiply them together(order does not matter)

Answer:

x4+2x3+x2+5x+b=x-2x3+x+3

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

4 times 24 is 96

The sum of the external side of a figure is its perimeter.  the perimeter of the larger flag is 48

Shapes are known to be similar if the ratioof their similar sides is equal to a constant.

From the given diagram, find the scale factor of the large triangle

k = 12/4

k = 3

Determine the perimeter of the large flag

Perimeter = 3 * perimeter of small flag

Perimeter of large flag = 3 * 16 = 48

Hence the perimeter of the larger flag is 48

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Answer:

i just want to try this but i think its y<2.1

Step-by-step explanation:

Answer:

$1000

Explanation:

If the employee has worked there for 20 years and for every year its 50 dollars. That would mean its 50x20 which eqauls 1000.

The monthly income in the first year after retirement is $1000.

Average monthly income is the amount you earn each month. Depending on your source of income, you can subtract insurance payments, rent allowances and other costs, such as federal and state taxes, from your total income every month. Net worth is your debt subtracted from your total assets.

Given that, Janet is retiring after working for a major department store for 20 years. The company offered her a flat retirement benefit of $50 per year for each year of service.

After working for 20 years, Janet has decided to retire from her job at a major department store.

The company has offered her a flat monthly retirement benefit of $50 for each year of service, which means that her monthly income in the first year after retirement would be $50 multiplied by 20, which is equal to $1000.

Hence, the monthly income in the first year after retirement is $1000.

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Answer:

The center is at (h, k) : (0, -1) and the radius is 10. ... The radius is 10. That is, since r^2 = 100, r must be 10.

Step-by-step explanation:

hope this helps you!

Answer:

30

Step-by-step explanation:

what number does 7 multiply by that also can be multiplied by 5? 30 is the least common denominator between 7 and 5.

Answer:

x = 5/2 or x = 6

Step-by-step explanation:

(2x)(2x)=(x+10)(2x-3)

4x^2 = 2x^2 - 3x + 20x - 30

2x^2 - 17x + 30 = 0

(2x - 5)(x - 6) = 0

x = 5/2 or x = 6

Answer: range is 6

Step-by-step explanation:

Smallest number is 2

largest number is 8

8-2=6

Answer:

The answer is A

Step-by-step explanation:

its a multiple answer choice. so A , D

Answer:

95% = Within two standard deviations from the mean

99.7% = Within three standard deviations from the mean

68% = Within one standard deviation from the mean

Step-by-step explanation:

I hope this helped! If it did, please click "Thanks" to help me out!

The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = 3x - 5

Here, g(x) is not given clearly.

But we can identify the given function as an inverse of each other.

Let's suppose the ordered pairs are:

[x, f(x)] and [x, g(x)]

The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

f(0) = -5 so for (0, -5) on the f(x) list then (-5,0) must be on the g(x) list

f(1) = -2 so for (1, -2) on the f(x) list then (-2, 1) must be on the g(x) list

f(2) = 1 so for (2, 1) on the f(x) list then (1, 2) must be on the g(x) list

Let's suppose:

g(x) = (x+5)/3

g(-5) = 0

g(-2) = 1

g(1) = 2

So the ordered pair (-5, 0), (-2, 1), and (1, 2) are in the list of g(x).

Thus, the functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.

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