what is the area of this rectangle?

=============================================================

Explanation:

Ignore the sides that are 'a' units long.

We'll compare the sides that are 26 units and 27 units long. We see the 27 unit side is larger, which makes the 93 degree angle larger than the 3x-9 degree angle.

Symbolically, we would say

3x-9 < 93

At the same time, the 3x-9 is also larger than 0

So

3x-9 > 0 or 0 < 3x-9

Put together, we can form this compound inequality

0 < 3x-9 < 93

-------------------

Let's isolate x like so

0 < 3x-9 < 93

0+9 < 3x-9+9 < 93+9 .... add 9 to all sides

9 < 3x < 102

9/3 < 3x/3 < 102/3 .... divide all sides by 3

3 < x < 34

x is any number between 3 and 34, but cannot equal either endpoint

For example, x = 10 is valid since 3 < 10 < 34 is true. But x = 50 is not a solution since 3 < 50 < 34 is false. We can't have x = 3 and we also can't have x = 34 either, but we can have anything in between those endpoints.

Answer:

Step-by-step explanation:

Answer:

x = 9.32

Step-by-step explanation:

For a right angles triangles , we can use trigonometry equations :-

In this case , we need to use sine equation in perpendicular :

sin θ = opposite side / hypotenuse

sin 58° = x / 11

x = sin 58 ° × 11

x = 0.84 × 11

x = 9.32852906

Round nearest tenth = 9.32

Answer:

Below,

Step-by-step explanation:

a. cos O = adjacent side/hypotenuse

= 88.3/117

= 0.75470

O = 41 degrees.

b. sin O = opposite side/hypotenuse

= 2.4/3.8

= 0.63158

O = 39 degrees

Answer:

Step-by-step explanation:

To solve this you just need to plug in your x values into the equations.

For example if x = 3,

when you plug it in you would get:

y = -3(3) + 3

y= -9 + 3

y = -6

You can plug in the rest of the x values and fill out your table.

Answer:

The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green

Step-by-step explanation:

Given

[tex]Pr(Green) = 40\%[/tex]

See attachment for plots

Required

Is the number generator fair or not

From the number line, we have the following outcomes:

[tex]0 \to 1[/tex]

[tex]1 \to 1[/tex]

[tex]2 \to 7[/tex]

[tex]3 \to 2[/tex]

[tex]8 \to 1[/tex]

Divide each outcome by 12, to get the proportion of green in each trial

[tex]0 \to 1[/tex] [tex]\to 8.33\%[/tex]

[tex]1 \to 1[/tex] [tex]\to 8.33\%[/tex]

[tex]2 \to 7[/tex] [tex]\to 58.33\%[/tex]

[tex]3 \to 2[/tex] [tex]\to 16.33\%[/tex]

[tex]8 \to 1[/tex] [tex]\to 8.33\%[/tex]

The above shows that the proportion of green in most of the trial is less than 40%

Hence, the number generator is not fair.

Answer:

D

Step-by-step explanation:

Answer:

-6n + 11

Step-by-step explanation:

The difference between each number is 6 (-6)

If n=1 then -6n + 11 =5

If n=2 the (-6×2) + 11 = -1

If n=3 the (-6×3) + 11 = -7

and so on.

You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.

:]

Answer:

The answer is "A 10 units down traduction, following by 8 pieces right traduction".

Step-by-step explanation:

Even as the changed image is similar to the original picture in rotation, reflections, and translations, so every point would be modified so that the examination of each point will provide several changes performed.

Consideration of paragraph A(-6, 4).

When a point (x, y) k is transferred down, it becomes (x, y-k).

So when 10 units are converted to A, it becomes (-6, -6).

When the point (x, y) k units are translated, it becomes (x+k and y)

This manner, it gets 8 units (-6, -6) to the right point (2, -6)

These are the A' coordinates.

Thus, quadrilateral ABCD was subjected to 10 further units of translation and 8 to the left. translations .

Answer

12+10+10+50+2+3+1=88

Step-by-step explanation:

Answer:

Red pens: 4 boxes

blue pens: 2 boxes

black: 3 boxes

Step-by-step explanation:

Answer:

78 x 160 /100

= 124.8

12 x 325/100

= 39

Step-by-step explanation:

Answer:

(fog)(x)=6x-3

Step-by-step explanation:

In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).

[tex](fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

zero, or 0, or none. answer is A

Step-by-step explanation:

they never touch, just pick A

Answer:

0, the answer is a

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

=13+ 3^3 ÷9 we can change it to:

=13+ 3^3/-9

3^3 can be changed to 27

13+ 27/9

=13+−3

=10

Answer:

Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.

Step-by-step explanation:

Every time you have a difference in the format of

A2−B2 you can factor as (A−B)(A+B).

Then you have to identify if your quantity is the difference of two squared quantities.

It is. In fact we can write it as:

16x2−1=(4x)2−12

Then we can apply our rule

[tex] {(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)[/tex]

Answer:

x = 0 , y = 0

Step-by-step explanation:

given:

  [tex]4x = y \\\\2x - y = 0\\\\Substitute \ y\ =\ 4x\ in \ second \ equation :\\2x - 4x = 0\\\\-2x = 0\\\\x = 0, \\y = 0[/tex]

Answer:

x = 16 and y = 121

Yes, its a long process.

Step-by-step explanation:

vertical angles are congruent given that: we do this

(4x-5)+(4x-5)+y+y=360

or

2(4x-5)+2y=360

divide both sides by 2

(4x-5)+y=180

distribute (there is an invisible 1 beside the parentheses of 4x-5)

4x-5+y=180

add 5 to both sides

4x+y = 185

subtract y from both sides

4x = 185-y

divide both sides by 4

x = (185-y)/4

note that (4x-5) is also EQUAL to (3x+11)

4x-5=3x+11

subtract 3x from both sides

x-5=11

add 5 to both sides

x = 16

Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360

Our equation was

x = (185-y)/4

16 = (185-y)/4

Multiply both sides by 4

64 = 185-y

Subtract 185 from both sides

-121=-y

multiply both sides by -1

121 = y

Answer:

D

Step-by-step explanation:

I took Edgy 2021 test

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

x+60 and 5x are vertical angles, which means they are equal

x+60 = 5x

Subtract x from each side

x+60-x = 5x-x

60 = 4x

Divide by 4

60/4 = 4x/4

15 =x

We want to find x+60

x+60

15+60

75

Answer:

∠GH = 75°

Step-by-step explanation:

x + 60° = 5x° ( vertical angles )

subtract x from both side

x - x + 60° = 5x - x

60° = 4x

divide each side by 4

60°/ 4 = 4x / 4

15 ° = x

To calculate, ∠GH

∠GH = x + 60 °

15 ° + 60° .. ( x = 15°)

= 75°

Answer:

Step-by-step explanation:

1. The mean is calculated using below table

Marks          Frequencies       Midpoint       Product

10 to 14              18                         12                216

15 to 19               9                         17                 153

20 to 24             11                         22                242

25 to 29             25                       27                675

30 to 34              14                        32                448

35 to 39              3                         37                 111      

Sum                    80                                          1845

The mean is:

2. The mode is the midpoint of the tallest bar.

The mode is

3. The median is the middle of the data set. The number of frequencies is 80, the middle frequency is number 40, which is within the 25 to 29 bar.

Formula to calculate median:

where

Substitute values and calculate:

Answer:

2

Step-by-step explanation:

20%---4

20%---4

20%---4

15%---3

15%---3

10%---2

4-2=2

Answer:

2 scoops

Step-by-step explanation:

Hi there!

What the question tells us:

1) Determine the number of chocolate ice cream sales

The circle graph tells us that 20% of the scoops were for chocolate. To find the number of chocolate scoops, determine 20% of 20, which is the total number of scoops.

20 × 20%

Change 20% into a decimal

= 20 × 0.2

= 4

Therefore, the ice cream shop sold 4 scoops of chocolate ice cream.

2) Determine the number of strawberry ice cream sales

The circle graph also tells us that 10% of the scoops were for strawberry. To find the number of strawberry scoops, determine 10% of 20.

20 × 10%

Change 10% into a decimal

= 20 × 0.1

= 2

Therefore, the ice cream shop sold 2 scoops of strawberry ice cream.

3) How many more of these scoops were chocolate than strawberry?

[# chocolate ice cream sales] - [# strawberry ice cream sales] = ?

4 - 2 = ?

4 - 2 = 2

Therefore, 2 more of these scoops were chocolate than strawberry.

I hope this helps!

Answer:

She is an undergraduate because more undergraduates are enrolled

Step-by-step explanation:

From the question, we understand that:

Undergraduate > Graduate

This represents the base rate

So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.

The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.

Answer:

janet would be 8 years old

Answer:

8

Step-by-step explanation:

Janet would be 8 cause yeah

Answer:

x=2.5 cups are needed  for 2 pies

Step-by-step explanation:

4/5 or 0.8

Fraction form: 4/5x = 2   x= 5/4

Decimial form: 0.8x = 2   x = 2.5

Mixed number form: 2 1/2

Hope that helped :)

Answer:

he divided both sides by 5 instead of -5 in his last step

Step-by-step explanation:

Given the expression solved by max expressed as;

-5x - 16 = 8

Step 1: Add 16 to both sides

-5x - 16 + 16 = 8 + 16

-5x = 24

Step 2:

Divide both sides by -5

-5x/-5 = 24/-5

x = -24/5

According to Malloy calculation, he divided both sides by 5 instead of -5 in his last step

Answer:

P=(2x*2+x-3)L+ (x+7)2w

Step-by-step explanation:

Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: [tex]Dom \{f(x)\} = \mathbb{R}[/tex]

Codominio: [tex]Ran \{f(x)\} = 4[/tex]

Asíntota: [tex]y = 4[/tex]

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea [tex]f(x) = 4[/tex], el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son [tex]Dom \{f(x)\} = \mathbb{R}[/tex] y [tex]Ran \{f(x)\} = 4[/tex]. No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función ([tex]y = 4[/tex]) y carece de raíces al ser [tex]f(x) \ne 0[/tex] para todo [tex]x\in \mathbb{R}[/tex].

Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x         -2         -1         0         1          2

y         4          4         4         4         4

Answer:

x = {-5, 2}

Step-by-step explanation:

unfamiliar with the notation 7;2

will solve for |2x + 3| = 7

Solution I -  the quanity inside the absolute value is 7

2x + 3 = 7

2x = 4

x = 2

Solution II -  the quanity inside the absolute value is –7

2x + 3 = –7

2x = -10

x = -5

-----------------

x = {-5, 2}

Answer:

[tex]x=\frac{-7+-\sqrt{37} }{6}[/tex]

Step-by-step explanation:

This (±) goes between the [tex]-7[/tex] and [tex]\sqrt{37}[/tex]

[tex]3x^{2} +7x+1=0[/tex]

[tex]ax^{2} +bx+c[/tex]

[tex]-b[/tex] ± [tex]\sqrt{b^2-4ac}[/tex]/2a

[tex]-7[/tex] ± [tex]\sqrt{(7)^2-4(3)(1)}[/tex]/2(3)

[tex]-7[/tex] ± [tex]\sqrt{49-12}[/tex]/6

[tex]-7[/tex] ± [tex]\sqrt{37}/6[/tex]