Which postulate does this diagram demonstrate?

Answer:

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Answer:

A sum of RS 700 is to be used to give seven cash prizes to students of school for their overall academic performance. If each prize is RS 20 less then its preceding prize, find the value of each of the prizes.

Answer:

Step-by-step explanation:

The distance between a point (x,y) and the point (-3,4) is

d1= [tex]\sqrt{ (x+3)2+(y-4)2}[/tex] .

The distance between a point (x,y) and the point (0,0) is

d2= [tex]\sqrt{x2+y2}[/tex] .

You know what y is from the equation of the line, so substitute that, set d1=d2, and solve for x.

The coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4) is (-33/18, 39/6)

The distance formula is expressed as:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex]

For the coordinate point (x,y) to (-3, 4), the distance is expressed as:

[tex]D_1 = \sqrt{(x+3)^2+(y-4)^2}\\[/tex]

For the coordinate point (x,y) to (0, 0), the distance is expressed as:

[tex]D_2=\sqrt{(x-0)^2+(y-0)^2}\\D_2 = \sqrt{x^2+y^2}[/tex]

Since the distance are equidistant, then D1 = D2

[tex]\sqrt{(x+3)^2+(y-4)^2} = \sqrt{x^2+y^2}\\ (x+3)^2+(y-4)^2 = x^2+y^2\\x^2+6x+9+y^2-8y+16 = x^2+y^2\\6x+9-8y+16=0\\6x-8y+25=0[/tex]

Substitute y = 3x+1 and get x

6x - 8y + 25 = 0

6x-8(3x+1) - 25 = 0

6x -24x-8-25=0

-18x-33 = 0

-18x = 33

x =-33/18

Sincey= 3x + 1

y = 3(33/18) + 1

y = 33/6 + 1

y = 39/6

Hence the required coordinates is (-33/18, 39/6)

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Answer:

N is equal to 5

Explanation:

N is equal to 5 because 7 subtracted from 12 and 8 subtracted 13 are equal 5.

an equation in slope intercept form is

y=mx+b

Answer:

y=mxb,

cuz the mx stands for slope, and the b stands for y-intercept

Answer:

6

Step-by-step explanation:

A = S²

36 = S²

[tex]\sqrt{36}[/tex] = [tex]\sqrt{S^{2} }[/tex]

6=S

Answer:

.

Step-by-step explanation:

Area of the triangle = 1/2 × the height × base length

Area = 1/2 × 5 × (8 + 8)

= 1/2 × 5 × 16

= 40 cm²

Answer:

t(3u)

Step-by-step explanation:

First we have to triple (x3) u, which is what gets us 3u.  Then we multiply that result by t.  

This gives us:  t(3u)

Remember, this problem is asking for you to write an expression, not and equation.  That is why there is not an equal sign included in the answer.

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

Solve using Surd

[tex] \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} [/tex]

The expression 3√5 will be equivalent to a square root of 45.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the expression √(45)

⇒ √(9×5)

⇒ √(3²×5)

⇒ √(3²)√(5)

Since the square root of a square is the same number

So,

⇒ 3√5

Hence "The expression 3√5 will be equivalent to a square root of 45".

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Answer:

Minti - 12 days

Minti & Rinki - 8 days

Use Formula 3

time= (12 * 8) / (12 -8)

time = 96 / 4

time for Rinki alone = 24 Days

*****************************************************

Rinki alone for 4 days will leave 20 days of work to be done.

Step-by-step explanation:

Answer:

-107/61

Step-by-step explanation:

-49x-63+3x+2=15x+40+6

-46x-61=15x+46

61x=-107

x=-107/61

the answer is 2/3 !!

yw gl

Answer:

Step-by-step explanation:

3(x - 2) = -27

3x - 6 = -27

3x = -21

x = -7

Answer:

1) 2 1/4 inches (2.25)

2) 5.3 millimeters

3) X=10 and YZ=60

Step-by-step explanation:

Number 1, you just add the measurements because n and q is the start and end of the line segment.

Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.

Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.

Answer:

3

Step-by-step explanation:

sense were looking for the ages between 20 and 30 including 20,30 the number are 20,30,30,

Answer:

Two.

Step-by-step explanation:

In algebra, a term is either a single number or variable, or numbers and variables multiplied together. In any equation, all of the numbers there that aren't divided by a mathematical operation (times or divide symbols) are terms.

3x2 isn't a term, it's an expression - but 5x and 9 are, so therefore there are 2 terms.

Hey there!☺

[tex]Answer:\boxed{6.41*10^{13}}[/tex]

[tex]Explanation:[/tex]

[tex]64,100,000,000,000[/tex] as a scientific notation would be written like this:

[tex]{6.41*10^{13}}[/tex]

Hope this helps!

Answer:

The first answer choice.

Answer: The opposite of -12 should be added.

7 - (-12) = 7 + 12 = 19

Step-by-step explanation:

The 2 minus signs cancel out and make the 12 positive so 7 - (-12) = 19.

Answer:

25 $.

Step-by-step explanation:

4 (dollars per game) x 5 (how much games) = 20.

+ 5 $ for one shoe rental.

Robert will pay $25 for 5 games and one shoe rental.

Given that,
Berks Lanes charges $4 per game of bowling and $5 for the shoe rentals.  Roberto paid for 5 games and one shoe rental, how much did he pay in all is to be determined.

In mathematics, it deals with numbers of operations according to the statements.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Berks Lanes charges $4 per game of bowling and $5 for the shoe rentals

Let the number of games be x, and number of show use be y
Total cost for the games = 4x  + 5y
Roberto paid for 5 games and one shoe rental implies
x = 5 and y = 1
Now,
Total money paid = 4 * 5 + 5 * 1
                              = 25

Thus, robert will pay $25 for 5 games and one shoe rental.

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Answer:

18m+n4

Step-by-step explanation:

i think.

Answer: girly im not gonna lie im no mathematician but i came up with 18m  8n i sowy if it's wrong but, you can't blame a girl from trying .

Step-by-step explanation: i combined like terms but im probably still wrong just saying .

Answer:

5x+15

Step-by-step explanation:

Answer:

5x+15

Step-by-step explanation:

3(x+2)+4+2x+5

(3x+6)+4+2x+5.

(3x+6)+9+2x

5x+15

Answer:

Step-by-step explanation:

An acute triangle is a triangle that has all the measures of its angles to be less than 90° i.e none of the angles is greater than 90°

Since of angles in a triangle is 180, hence <A + <B + <C = 180

Given

<B = 50

50 + <A + <C = 180°

<A + <C = 180-50

<A + <C = 130°

Note that all the angles of an acute triangle are also different

Hence the possible values of A and C are 60° and 70° (since their sum must give is 130°)

Another possible values are 55° and 75°

60° and 70°

55° and 75°

Answer:

1.4x10=14 if thats ur question

Step-by-step explanation:

Answer:

answers in the explanation.

Step-by-step explanation:

1. x=12

2 x=7

3.x=8

4.x=5

Answer:

let the earlier temperature be x

then change in temperature is x - 15