What is the IQR​ (interquartile range) of the data set represented? Minimum value = 5 Q1=9.5 Median = 17 Q3=23 Maximum value=28 11 12
13.5
23

Supplementary angles measure 180°. Make an equation:

Subtract 28 to leave the variable in the parentheses alone:

Add the 2 x's together:

Your new equation is:

Divide both sides by 2 to leave the variable alone

The supplement measures 76°

Answer:

f[g(x)] = 9x + 10

Step-by-step explanation:

f[g(x)] means to replace the x of function f(x) with function g(x)

Given:

Therefore:

f[g(x)] = 3[g(x)] + 13

         = 3(3x - 1) + 13

          = 9x - 3 + 13

          = 9x + 10

Answer: 282.50

Step-by-step explanation: He has 305 dollars, that is below 500 so you multiply the fee he has to pay by 3. U get 22.5, after than u subtract 22.5 from 305.

Answer:

-0.25

Step-by-step explanation:

→ Find fg(x)

2 ( x + 1 )² = 2x² + 4x + 2

→ Find gf(x)

2x² + 1

→ Equate them

2x² + 1 = 2x² + 4x+ 2

→ Move everything to the right hand side

0 = 4x + 1

→ Solve

x = -0.25

Answer:

[tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Work out fg(x)

To work out fg(x), put the g function into the f function so, the x in f(x) is equal to the x+1 (from the g function) so:

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

So fg(x) = [tex]2x^{2} + 4x +2[/tex]

Work out gf(x)

Do this by substituting the f(x) equation into the g(x) which is:

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

So gf(x) = [tex](2x^{2} )+1[/tex]

Work out x

And since fg(x) = gf(x),

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

4x = -1

x =[tex]-\frac{1}{4}[/tex]

Answer:

The value of f(-2) is equal to 14.

Step-by-step explanation:

Let's define what we are given:

Recall from function notation that f(-2) is equal to x = -2 for f(x). That means we can substitute in x = -2 into f(x):

From here, we can evaluate the function expression using BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction):

∴ f(-2) = 14.

Hope this helps!

Answer:

120

Step-by-step explanation:

If Kara earns 3 times as many points completing the next level than she earned the previous level, to find how many points she earned at level 3, triple the amount of points earned in level 2, which is 9.

9 × 3 = 27

We can confirm this is the correct value by multiplt 27 by 3 to see if it equals 81, which it ineed does.

To find how many points she scored in all, find the sum by adding all of the points together.

3 + 9 + 27 + 81 = 120

She scores 120 points in all.

hope this helps!

Answer:

4. x = 42°

5. x = 18°

6. x = 74°

7. Unknown.

Step-by-step explanation:

4. (x-5) = 38° ⇒ x = 38 + 5 ⇒ x = 43°

5. 2x + 3x = 90° ⇒ 5x = 90° ⇒ x = 18°

6. 2x + 32° = 180° ⇒ 2x = 180°- 32 ⇒ 2x = 148° ⇒ x = 74°

7. Not sure since the picture missing that angle off page.

Answer: 23

Step-by-step explanation: 3+7+9+12+X /5 =8

31 + X = 8

X = 23

Answer:

I've been looking for the same answer lmk I got it

Answer:

293 m

Step-by-step explanation:

Split the figure into 3 parts :

Perimeter of the left semicircle

Perimeter of the right semicircle

Perimeter of the rectangle

Distance around the race track

Step-by-step explanation:  5x3x4 15x4 The volume is 60m^3.

Answer:

e=6

Step-by-step explanation:

You need to take the transactions of the lament, then vibrant connections.

Answer:

Length: 12.39313902 cm

Width: 10.89313102 cm

Step-by-step explanation:

Check the attachment.

Answer:

Second option

Step-by-step explanation:

They have two congruent pairs of sides and one congruent pair of angles.

The triangles B can be proven congruent by the SAS theorem

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

From the Option B) , we get

Let the first triangle be ΔABC

Let the second triangle be ΔBDE

Now , the measure of side AB = measure of side BD

And , the measure of side AC = measure of side BE

And , the measure of ∠ABC = measure of ∠DBE

Therefore , Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

Hence , the triangles are congruent by SAS theorem

To learn more about congruent triangles click :

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Answer:

40

Step-by-step explanation:

Area = Base * height

A = 8 * 5

A = 40

Answer:

40

Step-by-step explanation:

A=b×perpendicular height

=8×5

=40

Answer:

sure , brainly Gal,  we don't want your sister to know you don't know  :DDDDDDD

Step-by-step explanation:

they tell us,    Y= 3x +2 as the rule ( equation) for the line,  then they give us the x points

X=0  Plug X into equation Y=3(0)+2  then  Y = 2  that's  point  (x,y) = (0,2)

X=1   Plug X into equation Y=3(1)+2  then  Y = 5  that's  point  (x,y)  = ( 1,5)

X=2  Plug X into equation Y=3(2)+2  then  Y = 8 that's point  (x,y) = (2,8)

get it?   :D   just ask me more if not ( to be fair, this is more complex than it seems)

Answer:

Step-by-step explanation:

gpih

Hi!

We can use x to represent the number of miles that Todd runs.

He runs a total of 3.5 miles, and each lap is 0.25 miles.

Therefore:

3.5 = 0.25x

The question simply asks for an equation, so there is no need to calculate how many laps he takes.

Answer:

[tex]x=\dfrac{cd}{a-b-d}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\dfrac{ax-bx}{x+c} & =d\\ \implies ax-bx & =d(x+c)\\ \implies ax-bx & =dx+cd\\ \implies ax-bx-dx& = cd\\ \implies x(a-b-d) & = cd\\ \implies x & = \dfrac{cd}{a-b-d}\end{aligned}[/tex]

Answer:

I thin 777 but you write it 77

Step-by-step explanation:

D

Answer:

1/36

Step-by-step explanation:

1/6 for the inital four, one in sixth chance to continue the roll on another 6.

the likely hood of making both these (on the first try) is 1/6*1/6 = 1/36.

Answer:

x = 19/2

Step-by-step explanation:

1) Distribute

-8x-24=-10x-5

2) Add 24 to both sides

-8x-24+24=-10x-5+24

3) Simplify

- Add the numbers

-8x = -10x - 5 + 24

- Add the numbers

-8x = -10x+19

4) Add 10x to both sides

-8x+10x=-10x+19+10x

5) Simplify

- Combine like terms

2x = -10x+19+10x

-Combine like terms

2x=19

6) Divide both sides by the same factor

2x/2 = 19/2

7) Simplify

- Cancel terms that are in both the numerator and denominator

x = 19/2

Answer: (2,2)

Step-by-step explanation:

3x+y=8

X=2, y=2

3(2)+2=8

6+2=8

Answer:

B =116°

D = 116°

Step-by-step explanation:

one set of opposite angles of a kite equal

1In unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center of the circle and (r) is the radius of the circle.

For the first problem,

[tex]x^2+(y+2)^2=64[/tex]

Rewrite the equation to make it the equation of circle as,

[tex](x-0)^2+(y-(-2))^2=8^2[/tex]

Compare it with equation of circle, we get center at (0,-2) and radius of 8 units. Similarly, the center and radius for each of the equation can be found out.

Thus, in unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

Learn more about the equation of circle here;

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Answer:

6.6 in (Brainliest please)

Step-by-step explanation:

A= 1/2 b*h

12.87= 1/2 b(3.9)

12.87= 1.95b

12.87/1.95= 1.95b/1.95

6.6=b

Answer:

1. c

2. d

3. e

4. b

5. a

Answer:

4

Step-by-step explanation:

3+0+5+0+7+4+3+10 = 32
Mean = sum of numbers / how many numbers
mean = 32/8
mean = 4

Answer:

i think the first and last one.

Step-by-step explanation: