Arcs and angles relay puzzle

Answer:

x = 3, 2

Explanation:

⇒ x² - 5(x) + 6 = 0

breakdown

⇒ x² - 3(x) - 2(x) + 6 = 0

takeout common terms

⇒ x(x - 3) - 2(x - 3) = 0

factor

⇒ (x-3) ( x-2) = 0

simplify

⇒ (x-3)=0, ( x-2) = 0

final answer

⇒ x = 3, 2

Point G is on line segment FH. Given FG = 7 and GH = 2, the length of line segment FH is 9 units.

The length of line segment FH can be determined by adding the lengths of its two parts, FG and GH.

This is based on the property that the whole length of a line segment is equal to the sum of its parts.

Given that FG = 7 and GH = 2,

we can find the length of FH as follows:

FH = FG + GH

FH = 7 + 2

FH = 9

So, the length of line segment FH is 9 units.

This is a basic principle in geometry where the total length of a segment can be calculated by adding the lengths of its individual parts.

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Total swimwear = 76 bikinis + 4 other types = 80 total

divide number of bikinis by total swimwear then multiply by 100:

76/80 = 0.95

0.95 x 100 = 95%

Answer: 95% are bikinis

Answer:

(Choice B)

Step-by-step explanation:

(7, 0)

7 - 7 = 0

Here, we can see that when 7 is subtracted from x, we get 0 (our y)

Hope this helps!

we can do it again and I am a big deal for the first day back to the first to see the first to be in the first time I was a good idea but I have a great time to be the first to see this movie is the best of luck to everyone for all the time of year when I get to the world to me I rent and the rest is history and culture and the rest of your own business and the first

Step-by-step explanation:

sana po makatulong

Answer:

C. 2, 4, 8, 11, 20.

Step-by-step explanation:

Solution,

Answer:

Step-by-step explanation:

c

Answer: 6.

Step-by-step explanation: The total number of seats is 328.  There are 14 rows with 23 seats in each row.  To solve this, we need to multiply the amount of rows with the amount of seats in each row, which would look like this:

14 x 23 = 322.

As you can see, there are only 322 seats.  However, there are 328 seats in total, so there are 6 extra seats that aren't in a specific row.  Therefore, there are 6 extra seats.

Hope this helps! :)

The actual number of respondents corresponding to the given percentage is 57.

Percentage is the fraction of an amount expressed as a number out of 100. The sign used to rerepresnt percentages is %. Percentages are a measure of frequency.

4.2% x 1372 = 57

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The sum of all the angles of any triangle is 180 degrees

     -->  Therefore the missing angle is:

                  x = 180 - 60 - 75 = 45

Hope that helps!

The sum of the angles of a triangle is 180 degrees

   --> to put that into mathematical terms

                       Angle O + Angle K + Angle C = 180

                                 60 + 75 + Angle C = 180

                                         Angle C = 45 degrees

Therefore the missing angles' measure is 45 degrees

Hope that helps!

Answer:

[tex]y = \dfrac{3}{2} x + 9[/tex]

Step-by-step explanation:

We would like to write the given equation in slope intercept form of the line .

[tex]\longrightarrow 6x - 4y = -36 [/tex]

The slope intercept form of the line is [tex] y = mx + c [/tex] , where

we can rewrite the given equation as ,

[tex]\longrightarrow 6x - 4y = -36 \\ [/tex]

[tex]\longrightarrow -4y = -36 -6x \\ [/tex]

[tex]\longrightarrow -4y = -6( x + 6)\\[/tex]

[tex]\longrightarrow y =\dfrac{-6}{-4}(x + 6)\\[/tex]

[tex]\longrightarrow y = \dfrac{3}{2}(x+6)\\ [/tex]

[tex]\longrightarrow y = \dfrac{3}{2}x +\dfrac{3}{2}\times 6\\[/tex]

[tex]\longrightarrow \underline{\underline{\pmb{ y =\dfrac{3}{2}x +9}}}{}[/tex]

This is the required equation of line in slope intercept form , with ;

Answer:

Refer to the attachment

Answer:

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

(b) [tex]y= -\dfrac12x^2+4x-6[/tex]

Step-by-step explanation:

(a)  From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at

[tex]x = -2[/tex] and [tex]x =4[/tex].

Therefore [tex]y = a(x + 2)(x - 4)[/tex]   where [tex]a[/tex] is some constant

The y-intercept is at (0, -8)

Expanding the equation:

[tex]y = a(x + 2)(x - 4)[/tex]

[tex]\implies y = a(x^2-4x+2x-8)[/tex]

[tex]\implies y= ax^2-2ax-8a[/tex]

Therefore, -8a is the y-intercept

Comparing y-intercepts:  -8 = -8a  ⇒  a = 1

Substituting a = 1, the final equation in standard form is:

[tex]y=x^2-2x-8[/tex]

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

(b)  From inspection of the graph, the x-intercepts (where [tex]y = 0[/tex]) are at

[tex]x = 2[/tex] and [tex]x =6[/tex].

Therefore [tex]y = a(x -2)(x - 6)[/tex]   where [tex]a[/tex] is some constant

The y-intercept is at (0, -6)

Expanding the equation:

[tex]y = a(x -2)(x - 6)[/tex]

[tex]\implies y = a(x^2-6x-2x+12)[/tex]

[tex]\implies y= ax^2-8ax+12a[/tex]

Therefore, 12a is the y-intercept

Comparing y-intercepts:

[tex]-6 = 12a \implies a = -\dfrac12[/tex]

Substituting found value of a into the equation:

[tex]\implies y= (-\dfrac12)x^2-8(-\dfrac12)x+12(-\dfrac12)[/tex]

[tex]\implies y= -\dfrac12x^2+4x-6[/tex]

y = a(x-h)²+k where (h,k) denotes the vertex

Q.1)

vertex: (1, -9) where h=1, k = -9

coordinates: (0, -8) where x = 0, y = -8

find for a:

y = a(x-h)²+k

-8 = a(0-1)²-9

-8 = a -9

a = 1

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

equation: y = (x-1)²-9

Q.2)

vertex: (4, 2) where h=4, k = 2

coordinates: (2, 0) where x = 2, y = 0

find for a:

y = a(x-h)²+k

0 = a(2-4)²+2

-2 = 4(a)

a = -1/2

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

equation: y = -1/2(x-4)²+2

Answer:

₹ 81.75

Step-by-step explanation:

Total =  ₹ 120.

He bought one book for ₹ 25.75 and a pen for ₹ 12.50.

    ₹ 25.75 + ₹ 12.50 =  ₹ 38.25

How much money does he have now?​

     ₹ 120 -  ₹ 38.25 =  ₹ 81.75

₹81.75

you just minus 120 from 25.75 and 12.50

The size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

It is a branch of mathematics that deals with the occurrence of a random event.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin.

The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

tails T-1 T-3 T-4 T-5

Hence, the size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

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Answer:

hope this works for you

Step-by-step explanation:

Answer:

40 eggs

Step-by-step explanation:

(12 x 3) + 4 = x

36 + 4 = x

40 = x

40 eggs total

Answer:

Step-by-step explanation:

Answer:

70% of £68 gives £47.6 for each trainer

Answer:

100-70/100 *£68

Step-by-step explanation:

£40.8

therefore, each pair of trainers cost£40.8

that is correct

Step-by-step explanation:

Answer:

$45.60 would be what Arun would have saved.

Answer:

height of tree is 80 feet.

Step-by-step explanation:

Given:-

To find :-

Solution:-

In the given figure we can see that AB is perpendicular , BC is base and AC is hypotenuse.

We know ,

tan 58° = AB/BC

1.6 = AB/50 feet

(Cross Multiplication)

80 feet :- AB

Note:- Figure is in attachment and is a rough work.

Answer:

x > 8

Step-by-step explanation:

5x > 40

40/5 = 8

x> 8

subtract 14

divide by 5

Answer:

First pair:       -4 and 8

Second pair: -2 and 6

Third pair:     -1 and 5

Step-by-step explanation:

-4 + 8 = 4

-2 + 6 = 4

-1 + 5 = 4

Hope this helps

Step-by-step explanation:

1 case = 24 bottles

365 cases = 365×24 = 8,760 bottles

Answer:

It is used in line graphs.

It can be any value within a range.

Step-by-step explanation:

Line graphs use :

Track numerical data over time within any value range therefore it is considered continuous data.  

A  line graph is a way to display data (information) that changes over time using a series of points joined with a straight line.

The line along the bottom is called the horizontal or (x-axis). Use this line to show time, days, weeks, months , or years.

The line up the side is called the vertical or (y-axis) is the value being measured, it starts at 0 and number it in even increments ; separated by twos, fives, tens, or hundreds.

Answer:

probably 200

Step-by-step explanation:

or something like that

Answer:

8 lions

Step-by-step explanation:

We need to subtract!!

14 - 6 = 8

Have an amazing day!!

Please rate and mark brainliest!!

Step-by-step explanation:

let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6

Substitute 14 instead of X. 14=Y+6

and now shift 6 to the left 14-6=Y

then the answer should be 8lions

Answer:

308

Step-by-step explanation:

200+90+18=200+108=308

three hundred seven

or

307

Step-by-step explanation:

I can't remember which is standard form. But hope it helps.

Answer:

12 units

Step-by-step explanation:

Properties of Rhombus:

1. length of all sides are equal.

2. Diagonals bisect each other at right angles

As the length of all sides are equal,

JM = JK

3x = 2x + 4

Subtract 2x from both sides,

3x - 2x = 4

       x = 4

JM = 3*4 = 12 units