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9514 1404 393

Answer:

  1980°

Step-by-step explanation:

The formula for the sum of interior angles of an n-gon is ...

  angle sum = 180°(n -2)

For n=13, the angle sum is ...

  angle sum = 180°(13 -2) = 180°×11

  angle sum = 1980°

Answer:

x = -3

Step-by-step explanation:

4(2 - 4x) - 3x = 65

Distribute the 4.

8 - 16x - 3x = 65

Combine like terms.

8 - 19x = 65

-19x = 57

Divide by -19 to isolate x.

x = 57/-19

x = -3

Check.

4(2 - 4(-3)) - 3(-3) = 65

4(2 - (-12) + 9 = 65

4(14) + 9 = 65

56 + 9 = 65

65 = 65

The solution of the given linear equation 4(2 - 4x) - 3x = 65 is  -3.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

here, 4 and 12 are constants and x is variable.

The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:

4(2 - 4x) - 3x = 65

Multiply the expressions inside the brackets,

8 - 16x -3x = 65

8 - 19x = 65

Subtract 8 from both the sides,

-19x = 65- 8

-19x = 53

Divide both side by -19

[tex]x = \dfrac{-53}{19}[/tex]

Thus, the value of x is -3.

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Answer:

3x=78+x-2

Step-by-step explanation:

Answer: 3x = 78 + x - 2

Step-by-step explanation:

Answer:

I think it is b or d I'm not sure though

Answer:

14217

Step-by-step explanation:

(7÷3)×6093=

14217

Answer:

73°

Step-by-step explanation:

Angles on a straight line add up to 180°

angle ABC= 180-146= 34°

Angles in a traingle add up to 180°

180-34= 146°

y= 146÷2= 73°

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Answer:

Option D (73°)

Step-by-step explanation:

According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.

So, according to the question -

[tex]y + y = 146[/tex]

[tex] = > 2y = 146[/tex]

[tex] = > y = \frac{146}{2} = 73[/tex]

The value of z = 0.2

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

⇒ z = 0.2

Therefore, the correct answer is option (A)

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Answer:

Area of the Rectangle is (length×breadth)

[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]

Third option is the right answer.

After the arrival of 5 marriages, the total women will be 9.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that at a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6%

Assume that the initial number of men are [x]. Then, the number of women will be y = 4x.

After the arrival of 5 marriages -

y + 5 = 4x + 5

and

x = 6% of y

x = (6/100) x y

x = (3/50)y

So, we can write -

y + 5 = (12/50) + 5

y = 12/50

So -

x = (12/50) x (50/3)

x = 4

After the arrival of 5 marriages, the total women will be -

x + 5 = 9

Therefore, after the arrival of 5 marriages, the total women will be 9.

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{Question in english language is -

At a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6% what is the number of women after the arrival of 5 marriages}

Answer:

20% is greater

Step-by-step explanation:

0.02 is only 2%

Answer:

20%

Step-by-step explanation:

to change .02 into a percent, you move the decimal over twice or multiply it by 100. leaving it to be 2%

[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]

[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]

[tex]54x - 162 = 60x + 60[/tex]

[tex] - 222 = 6x[/tex]

[tex]x = - 37[/tex]

I guess it's right.We learnt this way in Turkey.

Answer

<2 = <4 = <6 = <8

All of those are 94 degrees

<1 = <3 = <5 + <7

All of those are 86 degrees

Hope this helps :D

Answer:

i think it is the one you c

Step-by-step explanation:

Answer:

4 is the greatest common factor of 12

Answer:

2y-x-1

Step-by-step explanation:

use zero property

(-2x. +2x) =0

=6y-x+5-4y-6

collect like terms

6y-4y=2y

=2y-x+5-6

calculate the difference

+5-6=-1

=2y-x-1

good day :)

Answer:

15 feet

Step-by-step explanation:

Michele wanted to measure the height of her school's flagpole to place on the ground 35 ft from the flagpole then walks backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft away from the mirror using similar triangles, find the height of the flagpole to the nearest of a foot

Using similar triangles

= Let the height of the flagpole be represented as h.

h/35 =5/12

We cross Multiply

35 x 5 = 12h

12h = 175

h = 175/12

h = 14.583333333 feet

Approximately to the nearest foot is

h = 15 feet

Answer:

[tex]x=80^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to [tex]180^{\circ}[/tex], we set up the following equation:

[tex]x+50+50=180[/tex].

Solving, we get:

[tex]x+100=80,\\x=\fbox{$80^{\circ}$}[/tex].

Solution 2:

The Law of Sines states:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex], for any triangle.

We can use this to set up a proportion with the information given:

[tex]\frac{\sin x}{18}=\frac{\sin 50^{\circ}}{14}[/tex].

Solving, we get:

[tex]x=\arcsin(\frac{18\cdot \sin 50^{\circ}}{14}),\\x \approx \fbox{$80^{\circ}$}[/tex].

Answer:

1. Look at the screenshot below.

2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.

Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.

It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.

Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.

The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.

Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.

A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.

Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.

Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .

Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .

Either 25/4 or 6.25

Answer:

Step-by-step explanation:

x^2-(2+2)x+4=0

or, x^2-2x-2x+4=0

or, x(x-2)-2(x-2)=0

or, (x-2)(x-2)=0

Now,

Either, x-2=0

=2

Or, x-2=0

=2

Answer:

9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!

Step-by-step explanation:

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  [tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the power rule.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Answer:

round it to the nearest whole number.

Step-by-step explanation:

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

x=$495*0.7=$346.50=$347

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Y=$495*0.8=$396

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Z=$396*0.9=$356.40=$356

the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

Answer:

The sale price of the first washing machine is $308

The sale price of the second washing machine is $317

Answer:

the best possiable prediction is 2/6

Step-by-step explanation: