The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
°

Answer:

[tex]y = mx + b[/tex]

[tex]y \geqslant 2x - 15[/tex]

I hope this helps

Answer:

Angle D is 36 Degree!

Step-by-step explanation:

In vertical angle theorem, it stated that if two angles are vertical, then they are congruent to each other.

Answer:

d=144°

Step-by-step explanation:

Vertical angles add up to 180

c+d=180

36+d=180

d=180-36

d=144°

Answer: SAS similarity theorem

Proportional relationship:

[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{21+9}{14+6} = \dfrac{21}{14}[/tex]

simplify

[tex]\rightarrow \sf 1 = 1[/tex]

L.H.S = R.H.S

The triangles are congruent and follows the rule SAS similarity theorem.

The triangles has/starts from the same angle, corner (A).

The formula for the volume of a rectangular prism is: length x width x height

Volume of the mango jelly : 14 x 8 x 3 = 336 cm³

Volume of the cleaning box: 6 x 4 x 15 = 360 dm³

Volume of the cake each classmate would get =  (18 x 10 x 4) / 3 = 240 cm³

Volume of the remaining ream of paper : (28 x 4 x 22) / 250 = 9.9 cm³

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Answer:

78

Step-by-step explanation:

= 12 x^2 - 30         put in ' - 3 ' for  'x'

= 12 ( -3 )^2 - 30

 = 12 (9) - 30 = 78

Answer:

78

Step-by-step explanation:

Expression:

Evaluate x = 3 according to the question:

[tex]6 \{2 (- 3) {}^{2} - 5) \}[/tex]

Solve this problem, applying PEMDAS.

Hence,the answer to the given expression is 78.

-Regards,Hannah :)

Answer:

$43 + $6l

Step-by-step explanation:

Hello!

She spends $43 and bus several $6 laces.

We don't know how many she buys, but we know that we can represent that number using l.

That means she spends $43 + $6l.

The algebraic expression is $43 + $6l.

We can determine the price if we know the number of laces she buys. We can simply plug in the number of laces she bought, and we can plug it in for l in the equation.

Answer:

43= 6(x)

Explanation:

43 is the total,  and each of them are 6$ each. X is the variable that we don't know.

Answer:

No but on a calculator it will just be rounded up. If 0.99999 was 1, maths would be pretty much useless.

Answer:

no the value tends to go to 1 but it is not exactly one.

Answer:

24 you used to write about something else

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3/(22 + 3) voted for athelete

multiply everything by 4 to get fraction over 100

12/(88 + 12) voted for athelete

that means 12 percent voted for athelete

Answer:

-1

Step-by-step explanation:

Find the difference of each sequence

19 - 15 = 4

15 - 11 = 4

11 - 7 = 4

7- 3 = 4

3 - ? = 4

Subtract 4 from the 3

3 - 4 = -1

Therefore, the next term is -1

You would likely score 4 goals in 12 games

The given parameters are:

The expected number of goals is calculated as:

E(x) = p * Total

This gives

E(x) = 33.3% * 12

Evaluate

E(x) = 4

Hence, you would likely score 4 goals in 12 games

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The English phrase can be written as the fraction:

   [tex]\frac{m}{n + p}[/tex]

Remember that the quotient between two numbers gives a fraction.

Now, we have the sentence:

"the quotient of m and the sum of n and p."

Then we know that the numerator is m, and the denominator is (n + p) (the sum of n and p).

So the expression will just be the fraction:

[tex]\frac{m}{n + p}[/tex]

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The number of rows in the arena is 26

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

The number of rows (i.e. the number of terms) is calculated using:

[tex]S_n = \frac{n}{2}(2a + (n -1) * d)[/tex]

So,we have:

[tex]10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)[/tex]

Evaluate the terms and factors

[tex]21840 = n(440 + 16n -16)[/tex]

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

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Hey there!

[tex] \displaystyle{\orange{\boxed{\bold{\green{d = -5}}}}}[/tex]

[tex] \\ [/tex]

[tex] \displaystyle{ \frac{4}{5}d + 3 = -2 - \frac{1}{5}d} \\ [/tex]

[tex] \hookrightarrow [/tex] Subtract 3 from both sides :

[tex] \\ \displaystyle{ \frac{4}{5}d + 3 \bold{ \red{ - 3} }} = \displaystyle{ - 2 - \frac{1}{5}d \bold{ \red{ - 3}} } \\ \\ \implies \displaystyle{\frac{4}{5}d = - \frac{1}{5}d - 5 } \: \: \: \: [/tex]

[tex] \\ \hookrightarrow [/tex] Add [tex] \frac{1}{5}d [/tex] to both sides :

[tex]\\ \displaystyle{\frac{4}{5}d \: \bold{ \blue{ + \frac{1}{5}d }} = \displaystyle{ - \frac{1}{5}d - 5 \: \bold{ \blue{ + \ \frac{1}{5}d }}}} \\ \\ \implies \displaystyle{\frac{5}{5}d = - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \displaystyle{\green{ \boxed{ \orange{{d = - 5}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, our answer is d = -5

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add [tex]\bf{\frac{1}{5}d }[/tex] on both sides.

[tex]\boldsymbol{\dfrac{4}{5}d+3+\dfrac{1}{5}d=-2 }[/tex]

combine [tex]\bf{\frac{4}{5}d }[/tex] and [tex]\bf{\frac{1}{5}d }[/tex] to get d.

[tex]\boldsymbol{d+3=-2}[/tex]

Subtract 3 from both sides.

[tex]\boldsymbol{d=-2-3}[/tex]

Subtract 3 from −2 to get −5.

[tex]\boxed{\boldsymbol{d=-5}} \ \ \to \ \ \bf{Answer}[/tex]

Let d=-5.

[tex]\sf{\dfrac{4}{5}\times-5+3=-2-\dfrac{1}{5}\times-5 }[/tex]

[tex]\rm{Apply \ this \ rule:\dfrac{a}{b}\times c=\dfrac{ac}{b} }[/tex]

[tex]\sf{\dfrac{4\times-5}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Multiply \ 4 \ by \ -5 }[/tex]

[tex]\sf{\dfrac{-20}{5}+3=-2-\dfrac{1}{5}\times-5 }[/tex]

[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left. }[/tex]

[tex]\sf{-\dfrac{20}{5}+3=-2-\dfrac{1}{5}\times-5 \ \ \to \ \ Simplify \ \frac{20}{5} \ to \ 4. }[/tex]

[tex]\sf{-4+3=-2- \dfrac{1}{5}\times-1 }[/tex]

[tex]\rm{Move \ the \ negative \ symbol \ to \ the \ left.}[/tex]

[tex]\sf{-4+3=-2-(-1) \ \ \to \ \ Simplify \ -4+3 \ to \ -1. }[/tex]

[tex]\sf{-1=-2-(-1) \ \ \to \ \ \to \ \ Remove \ parentheses. }[/tex]

[tex]\sf{-1=-2+1 \ \ \to \ \ Simplify \ -2+1 \ to \ -1.}[/tex]

[tex]\sf{-1=-1 \ \to \ Equality \ is \ met.}[/tex]

Checked ✅

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:  B. They are one-dimensional objects

This applies to line segments and lines as well.

One dimensional objects are such that they only have one component to them when it comes to determining a location on that object.

For instance, a number line is one dimensional because we only need one number to determine where a location is.

A ray is effectively a half-line, or put another way, a line is the combination of two rays glued together. Basically a ray points forever in one direction only, as a line will point in two opposite directions.

Extra side notes:

Answer: B

Step-by-step explanation:

Since the paper representing her desk is 1 1/4 inches by 2 1/4 inches, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft

To answer the question, we need to know what scale is

A scale is the ratio of two dimension and it is given on a scale drawing.

Given that Chelsea makes a scale drawing of the room and cuts out pieces of paper to represent her furniture, and the paper representing her desk is 1 1/4 inches by 2 1/4 inches.

Since on the scale, we have 1/2 in = 1 foot ⇒ 1 in = 2 ft

So, the actual dimensions of her desk are

1 ¹/₄ in by 2 ¹/₄ in = 5/4 in by 9/4 in

= 5/4 × 1 in by 9/4 × 1 in

= 5/4 × 2 ft by 9/4 × 2 ft

= 5/2 ft by 9/2 ft

= 2 ¹/₂ ft by 4 ¹/₂ ft

So, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft

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The answer is Y

Step-by-step explanation:

You have to compare the numbers with conditions both in Rows and Columns.

The angle of triangle are ∠A = 86, ∠B = 55, ∠C = 39. The side of the triangles are a = 0.99, b = 0.81, c = 0.62.

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

[tex]\dfrac{sin A}{a} = \dfrac{sin B}{b} = \dfrac{sin C}{c}[/tex]

We have given angles of the triangle as

∠A = 86

∠B = 55

∠C = 39

So,

[tex]\dfrac{sin 86}{a} = \dfrac{sin 55}{b} = \dfrac{sin 39}{c}[/tex]

Now,

a = 0.99

b = 0.81

c = 0.62

The side of the triangles are a = 0.99, b = 0.81, c = 0.62.

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prolly 4.36 just use the Pythagorean theorem

Answer:

40 L cranberry juice; 80 L apple juice

Step-by-step explanation:

Let x = number of liters of cranberry juice.

The total volume is 120 L, so the volume of apple juice is

120 - x.

The value of the cranberry juice is 0.5x.

The value of the apple juice is 0.35(120 - x).

The value of the mixture is 0.4(120) = 48

The value of the cranberry juice plus the value of the apple juice equals the value of the mixture.

0.5x + 0.35(120 - x) = 48

0.5x + 42 - 0.35x = 48

0.15x = 6

x = 6/0.15

x = 40

120 - x = 120 - 40 = 80

Answer: 40 L cranberry juice; 80 L apple juice

Answer: 25

Step-by-step explanation:

[tex]\frac{23+27}{2}=\boxed{25}[/tex]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as [tex]x=\frac{-b}{2a}[/tex].

In this case, you know:

Replacing in the definition of axis of symmetry:

[tex]x=\frac{-12}{2x3}[/tex]

Solving:

[tex]x=\frac{-12}{6}[/tex]

x= -2

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

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Answer: x = 13

Step-by-step explanation: First, we simplify the equation to get 4x + 7 = 5x - 6. Then, from there, we subtract 7 on both sides to get 4x = 5x - 13. Then we subtract 5x from both sides, which would give us -x = -13. Finally, we can divide both sides by -1 (because remember, x = 1) to get that x = 13. Hope this helps!

the answer is 40 minute's 250-210 is 40

Answer:

So for a quadratic function, the axis of symmetry is the line that divides the curved line in the middle, which is the h value, it can be found by using the formula -b/2a, so for here it would be 4/2(1) = 2, so x =2

Hope that answers your question

Step-by-step explanation:

Answer:

B is true

C is false

D is false

Step-by-step explanation:

- B is true because two negative numbers are added together, the outcome is negative hence always less than 0

- C is false due to needing a negative number add to -1.5 to be less, a positive only makes the number greater

- D is false since you are adding 0.9 (9/10), anything less than this will m ake the sum be greater than 0

example: - 0.5 + 0.9 = 0.4 or - 0.8 + 0.9 = 0.1

Answer:

Choice B

Step-by-step explanation:

Given radical expression:

[tex] \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]

To Find:

The Simpler form of this expression

Soln:

[tex] = \sqrt[4]{1296 {x}^{16} {y}^{12} } [/tex]

We could re-write the given expression, according to the law of exponents:

[tex] = \tt \sqrt[4]{(6x {}^{4}y {}^{3}) {}^{4} } [/tex]

Now we need to bring terms out of the radical as:

[tex] \tt = | 6x { }^{4} y {}^{3} | [/tex]

Bring out 6x^4 from the absolute & put y^3 only in it:

[tex] \tt = 6x {}^{4} |y {}^{3} | [/tex]

Choice B is accurate.

The number of books Alisha did not sell after making a profit of £490 is 45 books

How to find how many book she sell base on the profit?

She buys 200 books costing £3 each.

Therefore,

cost = 3 × 200 = £600

Hence,

She sells 2/5 of the books at £8 each.

total amount = 2 / 5 of 200 × 8

total amount = 80 × 8

total amount = £640

Alisha then reduces the price of the remaining books by a quarter.

She then sells some of the remaining books.

Therefore,

the remaining book = 120

She sold some of the remaining books.

profit = selling price - cost price

490  = selling price - 600

selling price = 490 + 600

selling price = £1090

Therefore,

the cost of the remaining book she sold = 1090 - 640 = £450

Hence,

let

x = number of book sold

6(x) = 450

x = 450 / 6

x = 75

The number book she did not sell = 120 - 75 = 45

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