A regular polygon has 20 sides

work out the sum of the interior angles of the polygon

work out the size of the interior angles

Answer:

Mean- 75.3

Median- 72

Mode- 72

Range- 77

Step-by-step explanation:

Answer:

a is parallel b

then

10x-23=27

10x=23+27=50

x=50÷10=5

Answer:

10

Step-by-step explanation:

because it is what it is i just did the math

Answer:

9x-y = 5

Step-by-step explanation:

Equation of line in slope intercept form:

y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)

y-31 = 9*(x-4)

y-31 = 9x-36

9x-y = 36-31

9x-y = 5

Collinear points are points that lie on the same line.

The postulate to prove that A and B are collinear is: (a) Through any two points, there is exactly one line.

From the question, we understand that:

For A and B to be collinear, then:

A line must pass through A and B, in such a way that points A and B lie on that line

Because only one line can pass through any two points, the appropriate postulate to use is: (a) Through any two points, there is exactly one line.

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Step-by-step explanation:

Since Q and R are complementary,

⇒ Q + R = 90°

Since Q is 26° less than the measure of R

⇒ R - 26° = Q

We can therefore say that ( R - 26°) + R = 90°

⇒              2 R = 90° + 26°

                    R = 58 °

Also, since  R - 26°   = Q

                   58° - 26° =  Q

                            32 ° = Q

Answer:

b ≤ 24

Step-by-step explanation:

Treat it like a two-step equation:

1/3b - 4 ≤ 4​

Add 4 on both sides: 1/3b - 4 (+4) ≤ 4​ (+4)

1/3b ≤ 8

Multiply 3 on both sides (3)1/3b ≤ 8(3)

b ≤ 24

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

Answer:

x² - 3x ≤ 54 m²

Step-by-step explanation:

Step-by-step explanation:

and ? what do we need to do with this ?

compress/simplify this ?

if that is true :

(x+3)(x²-3x+9)-(54+x³)

x³ - 3x² + 9x + 3x² - 9x + 27 - 54 - x³ = -27

Using decimal multipliers, it is found that the expression that can be used to determine the final cost of the game is given by:

In this problem:

Applying both multipliers, the expression is:

[tex]C = y(0.82)(1.08) = 0.8856y[/tex]

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Answer:

sdfgsdhvdert

fghjkkl

fghj

fghjk

gfgjuii

Answer:

-25

Step-by-step explanation:

We're given the sigma notation of a series.

[tex] \mathsf{ \sum _{k = 1} ^{5}(2k - 11) }[/tex]

The variable k is the "index of notation"

The expression can be read as the sum of (2k- 11) as k goes from 1 to 5.

"To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index" ~internet

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

To generate the terms of the series given on sigma notation above, replace k by 1, 2, 3, 4, and 5 and add the terms, to get the answer to the given notation.

[tex]\mathsf{ \sum _{k = 1} ^{5}(2k - 11) } \\ = \mathsf{ \overline{2(1) - 11} + \overline{2(2) - 11} + \overline{2(3) - 11} } \\ \mathsf{ + \overline{2(4) - 11} + \overline{2(5) - 11}}[/tex]

[tex] = \mathsf{\overline{2 - 11} +\overline{4 - 11} + \overline{6 - 11} } \\ \mathsf{\overline{8 - 11} + \overline{10- 11}}[/tex]

[tex] = \mathsf{ - 9- 7 - 5 - 3 - 1}[/tex]

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

[tex] \mathsf{ \underline{- 25}}[/tex]

______________________

[tex] \mathfrak{ \overline{There \: You \: Are!}}[/tex]

Let's see

[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^2_{k=1}}}(2k-11)[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-11+2(2)-11+2(3)-11+2(4)-11+2(5)-11[/tex]

[tex]\\ \rm\Rrightarrow 2-11+4-11+6-11+8-11+10-11[/tex]

[tex]\\ \rm\Rrightarrow 30-55[/tex]

[tex]\\ \rm\Rrightarrow -25[/tex]

Answer:

Here is your equation (x+2)^2+(y+10)^2=100

,  Hope this helps :)

Have a great day!!

Answer:

(x+2)²+ (y+10)²=100

Step-by-step explanation:

y=6x+2    P(-2,0)

x=-2

y=6 × (-2) + 2

y= -12+2

y= -10

M(-2,-10)      r= 0 - ( - 10 ) = 10

(x+2)²+ (y+10)²=100

Hope this helps!! Can I get brainliest?? Anyways have a great day!! :3

Step-by-step explanation:

given :

120, 60, 30, _, _, _

find r!

solution :

r = 60/120 = ½.

=> 120,60,30, 15, 15/2 , 15/4 , ...

Step-by-step explanation:

Calcute the ratio :

r = Un/Un-1

r = 60/120

r = ½

Calculate 4th term :

Un = ar^n-1

U4 = 120 × ½^4-1

U4 = 120 × ½³

U4 = 120 × 0.125

U4 = 15

Calculate 5th term :

Un = ar^n-1

U5 = 120 × ½^5-1

U5 = 120 × ½⁴

U5 = 120 × 0.0625

U5 = 7.5

Calculate 6th term :

Un = ar^n-1

U6 = 120 × ½^6-1

U6 = 120 × ½⁵

U6 = 120 × 0.03125

U6 = 3.75

Answer:

[tex]x - 2 = 0 \\ x = 2 \\ p(2) = 0 \\ {2}^{4} - d {2}^{3} + 8 \times {2}^{2} - 14 \times 2 + 16 = 0 \\ 16 - 8d + 32 - 28 + 16 =0 \\ 8d = 36 \\ d = 36 \div 8 = 4.5[/tex]

enjoy it

The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage is correct statement.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

A transformation allows something(shape) to  moves, flip, or changes a shape (called the preimage) to create a new shape.

The length or angle of the image is not changed by translation but stretching will change the angle of image.

By  transformation rules A,B C are false.

The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage. is correct statement.

Hence, The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.

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Step-by-step explanation:

mn-nq+mo-oq

n(m-q) + o(m-q)

final ans:(n+o) (m-q)

Answer:

6

Step-by-step explanation:

Find the missing angle:

180⁰ - 82⁰ = 98⁰

Find the sum of the angles given without the missing angle:

180⁰ - 98⁰ = 82⁰

The sum of both the angles is 82⁰

Write an equation:

5x + 8 + 6x + 8 = 82⁰

Collect the like terms together

11x + 16⁰ = 82⁰

Subtract 16⁰ from both sides

11x = 66⁰

Divide by 11 on both sides

x = 6⁰

The slope of the line is m = -3

The y-intercept is (0,5)

The equation of the line in the slope-intercept form is y = 5-3x

Answer:

C) 630 mm²

Step-by-step explanation:

area of kite = pq

2

= 28x45

2

= 630 mm²

Answer:

angle (3x-15)°=angle (2x+10)° (by vertically opposite angles)

3x-15=2x+10

3x-2x=10+15

x=25

by putting the value of x.

3x-15=3×25-15 = 60°

38°+ 60°+ <ebf= 180° (by sum of all sides is 180° )

98°+<ebf = 180°

<ebf = 180° - 98°

<ebf = 82°

A linear equation can have one or more variables.

The function is given as:

[tex]\mathbf{T = 5.50p + 7f}[/tex]

(a) The constraints when T = 40

Substitute 40 for T in [tex]\mathbf{T = 5.50p + 7f}[/tex]

[tex]\mathbf{5.50p + 7f = 40}[/tex]

The variables in the above equation are p and f

Hence, the constraints are the cost of a package of plain coffee and the cost of a package of flavored coffee

(b) Solve for f

In (a), we have:

[tex]\mathbf{5.50p + 7f = 40}[/tex]

Subtract both sides by 5.50p

[tex]\mathbf{7f = 40 -5.50p }[/tex]

Divide both sides by 7

[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]

Hence, the equation of f is:

[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]

(c) The maximum number of flavored coffee when she buys 3 packages of plain coffee

In (b), we have:

[tex]\mathbf{f = \frac{40 -5.50p}7 }[/tex]

Substitute 3 for p

[tex]\mathbf{f = \frac{40 -5.50 \times 3}7 }[/tex]

[tex]\mathbf{f = \frac{40 -16.50}7 }[/tex]

[tex]\mathbf{f = \frac{23.5}7 }[/tex]

Divide

[tex]\mathbf{f = 3.36 }[/tex]

Remove the decimal part (do not approximate)

[tex]\mathbf{f = 3 }[/tex]

Hence, the maximum number of packages of flavored coffee she can buy is 3

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Answer: [tex]3\sqrt{3[/tex]

Step-by-step explanation: use pythagorean theorem to solve this. which is a^2 + b^2 = c^2

lets say b=3 and c=6. plug this into the equation.  (6)^2 - (3)^2 + = 36 - 9 which is 27 = c^2. to get c from c^2, square root the c^2 value

the square root of 27 is [tex]3\sqrt{3[/tex] in simplest radical form

Step-by-step explanation:

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given pair of linear equations are

[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\ \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8[/tex]

can be rewritten as on multiply by 10,

[tex]\rm :\longmapsto\:4x + 3y = 17 - - - - (1)\\ \\ \rm :\longmapsto\:7x - 2y = 8 - - - - - (2)[/tex]

[tex]\rm :\longmapsto\:2y = 7x - 8[/tex]

[tex]\rm\implies \:\boxed{\tt{ y = \frac{7x - 8}{2}}} - - - - (3) [/tex]

On substituting the value of y in equation (1), we get

[tex]\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17[/tex]

[tex]\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2} = 17[/tex]

[tex]\rm :\longmapsto\:29x - 24 = 34[/tex]

[tex]\rm :\longmapsto\:29x = 34 + 24[/tex]

[tex]\rm :\longmapsto\:29x = 58[/tex]

[tex]\bf\implies \:x = 2 - - - - (4)[/tex]

On substituting x = 2 in equation (3), we get

[tex]\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2} [/tex]

[tex]\rm :\longmapsto\:y = \dfrac{14 - 8}{2} [/tex]

[tex]\rm :\longmapsto\:y = \dfrac{6}{2} [/tex]

[tex]\bf\implies \:y = 3[/tex]

So, we get

[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2} \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}[/tex]

From equation (1),

[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7[/tex]

On substituting the value of x and y, we get

[tex]\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7[/tex]

[tex]\rm :\longmapsto\:0.8 + 0.9 = 1.7[/tex]

[tex]\rm :\longmapsto\:1.7 = 1.7[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

To solve systems using Method of Substitution, follow this procedure:

1. Select one equation and solve it for one of its variables.

2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.

3. Solve the equation to get the value of this variable

4. Substitute the value found in to first equation involving both variables and solve for the other variable.

Answer:

0

Step-by-step explanation:

Answer:

1) 3 liters left

2) 9 liters of blue paint

Step-by-step explanation:

1) 1/5 * 15 = 3

2) 3 liters of blue paint for each 8 liters.

24/8 * 3 = 9

Fractions and Comparisons

1.

The amount of flour used is :

= 4/5 × 15 kg

= 12 kg

The amount of flour left is :

= 15 kg - 12 kg

= 3 kg

2.

5 : 3 = Red : Blue

The amound of blue paint :

= 3 : (3 + 5) × 24 liters

= 3 : 8 × 24 liters

= 9 liters

So, the litres of blue paint did he use is 9 liters

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