GF GF
is justified as a step in a proof using the Reflexive Property of Congruence
Choose...
Alternate Interior Angles Theorem
Hypotenuse-Leg Theorem
Reflexive Property of Congruence
ASA Triangle Congruence Theorem

Answer:

y=-1/2

Step-by-step explanation:

Answer:

The answer is 576 seats

Step-by-step explanation:

3 rows x 12 seats = 36 seats in one section

36 seats in one section x 16 sections = 576 seats

Answer:

157 - 70x

 —————————

     5    

Step-by-step explanation:

Answer:

31.4 - 14x

Step-by-step explanation:

4(5.8 - 9x) = 23.2 - 36x

23.2 - 36x + 8.2 + 22x

23.2 + 8.2 - 36x + 22x

only add/subtract LIKE terms

31.4 - 14x

Answer:

6 bags for $25

Step-by-step explanation:

25/6 = 4.16666666667 = $4.17 per bag

35/8 = 4.375 = $4.37 per bag

The better deal for the bags of apples is at the market

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To determine which is the better deal, we can compare the prices per bag of apples at the market and the orchard.

At the market:

Price of 6 bags of apples = $25

Price per bag of apples = $25 / 6 ≈ $4.17 (rounded to two decimal places)

At the orchard:

Price of 8 bags of apples = $35

Price per bag of apples = $35 / 8 ≈ $4.38 (rounded to two decimal places)

Comparing the two prices per bag of apples, we can see that the price per bag at the market is $4.17, while the price per bag at the orchard is $4.38.

Hence , the better deal is at the market where you can buy 6 bags of apples for $25, resulting in a lower price per bag compared to the orchard.

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Answer:

f=6 and s=18

Step-by-step explanation:

Let's solve your system by substitution.

s+f=24;s=3f

Rewrite equations:

s=3f;f+s=24

Step: Solves=3ffor s:

s=3f

Step: Substitute3fforsinf+s=24:

f+s=24

f+3f=24

4f=24(Simplify both sides of the equation)

4f

4

=

24

4

(Divide both sides by 4)

f=6

Step: Substitute6forfins=3f:

s=3f

s=(3)(6)

s=18(Simplify both sides of the equation)

Answer:

f=6 and s=18

Answer:

6 eggs per hen

Step-by-step explanation:

78/13=6 eggs per hen

Answer:

Answer:

0.3643

Step-by-step explanation:

Standard Form and Scientific Notation

What is standard form of numbers?

Standard form is the normal way of writing numbers no matter how big or small the number is.

Examples:

15,000,000

0.0000000678

What is scientific notation?

Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.

Examples:

1.3 × 10⁶

34.5 × 10^⁻9

Going back to the question above, we need to convert the given scientific notation to its standard form.

Converting of Scientific Notation to Standard Form

To convert a number from scientific notation to standard form, move the decimal point.

The exponent tells the direction and the number of times we need to move the decimal point.

The positive exponent indicates a large number so we need to move the decimal point to the right.

The negative exponent indicates a small number so we need to move the decimal point to the left.

Do not write the power of 10 anymore.

Solution:

Now, let us convert 3.643 x 10^-1 in standard form.

The exponent is negative 1 so we will move the decimal point to the left once.

3.643 = 0.3643

Answer:

y= x + 2

Hope this helps.

Answer:

97.03

Step-by-step explanation:

it is the answer

if it is not then I am sorry

In Normal distribution(z) tomato plants have height less than 4.07 feet is 97.93 %.

Normal distribution is a "continuous probability distribution that its symmetrical around its mean with most values near the central peak".

According to the question,

The heights of tomato plants are Normally distributed.

Mean(μ) = 3.56

Standard deviation (σ)  = 0.25

For a tomato plants that has a height of 4.07 feet

In order to find Percentage of tomato plants have a height less than 4.07 feet

Standard Normal Distribution Formula,

z = (x-μ)/σ    where X~(μ,σ).

  = [tex]\frac{4.07-3.56}{0.25}[/tex]

  = [tex]\frac{0.51}{0.25}[/tex] = 2.04.

P ( x < 4.05) = P( z < 2.04 )

                     = 0.9793           ( Using standard Normal distribution table)

To find the percentage of tomato plants have height less than 4.07 feet is

multiply 0.9793 by 100

                     = 97.93%

Hence, Using Standard Normal distribution we find tomato plants have height less than 4.07 feet is 97.93 %

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

Work Shown:

A = P*(1+r)^t

A = 85*(1+0.085)^10

A = 192.183592562981

A = 192

-----------

Notes:

The rabbit population in Central Park in 2005 is 192 rabbits.

To find the rabbit population in Central Park in 2005, we need to calculate the growth from 1995 to 2005.

From 1995 to 2005, there is a total of 10 years.

Using the growth rate of 8.5% per year, we can calculate the population in 2005:

Population in 2005 = 85 rabbits(1 + 0.085)¹⁰

Calculating this expression:

Population in 2005 = 85 rabbits(1.085)¹⁰

= 85 rabbits × 2.2609

= 192 rabbits

Therefore, the estimated rabbit population in Central Park in 2005 is 192 rabbits.

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Answer:

perimeter:- 8x

Step-by-step explanation:

since,

length= 3(width)

length= 3x

and, perimeter= 2(l + b)

= 2(3x + x)

= 2(4x)

perimeter = 8x

Answer:

$2652.75

Step-by-step explanation:

Let b represent the original amount shared out

The equation representing how much adeel received is

4/9 x b = RS 1179

To find b, divided both sides by 9/4

b = $2652.75

Answer:

x=20

Step-by-step explanation:

76+44+3x=180

120+3x=180

-120      -120

3x=60

60/3=20

20(3)+120=180

Triangles add up to 180.

Hope this helps! :)

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

9514 1404 393

Answer:

  y = 2x +5

Step-by-step explanation:

We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -2)/(-1 -4) = -10/-5 = 2

__

  y -y1 = m(x -x1) . .  point-slope form of equation for a line

  y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)

  y = 2x +5 . . . . . . . rearrange to slope-intercept form

Responder:

Hay 120 combinaciones posibles

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]

In the given triangle,

[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]

[tex]\sqrt{3}=\dfrac{18}{x}[/tex]

[tex]x=\dfrac{18}{\sqrt{3}}[/tex]

[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

On further simplification, we get

[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]

[tex]x=6\sqrt{3}[/tex]

[tex]x=10.3923[/tex]

[tex]x\approx 10.4[/tex]

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

Answer:

#1: 146 degrees #2: 111 degrees

Step-by-step explanation:

The angles of a heptagon (a shape with 7 sides) are supposed to add up to 900 degrees, so just add up all the sides that you know and subtract it from 900 and you will have x! Do the same thing with the second one, except is is a hexagon and all the angles should add up to 720 degrees. (Don't forget to add the right angle, which is 90 degrees) So add up all the sides you know and subtract from 720 to get x.

P.S. If correct, please give Brainliest?

Answer:

N = number of sides

The sum of the interior angles of a polygon is equal to (N x 180)-360.

The first problem has 7 sides so the interior angle total = 900 degrees.

Add up all the known interior angles:

96+105+161+123+155+114+x = 900

x = 900-754 = 146 degrees

The second problem has 6 sides so the interior angle total = 720 degrees.

Add up all the known interior angles:

127+40+202+90+150+x = 720

x = 720-609 = 111 degrees

Answer:

hahdg duchy jejeurur y ed sethi. riruru. udhrhru. ueeh

Answer:

25:16 is the ans hope that helps!

9514 1404 393

Answer:

  23 inches

Step-by-step explanation:

The perimeters have the same ratio. Multiplying the ratio figures by 4.6 gives ...

  2 : 5 = (4.6)2 : (4.6)5 = 9.2 : 23

The perimeter of ΔFGH is 23 inches.

Answer:

un eneagono tiene 9 triángulos

Given:

The first equation of the system of equations is

[tex]5x+2y=-4[/tex]

To find:

The equation that gives a system with no solution.

Solution:

We have,

[tex]5x+2y=-4[/tex]

It can be written as

[tex]2y=-5x-4[/tex]

[tex]y=\dfrac{-5x-4}{2}[/tex]

[tex]y=-\dfrac{5}{2}x-2[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=-\dfrac{5}{2},b=-2[/tex]

It means the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is -2.

Slope of parallel lines are same but the y-intercepts are different.

From the given options, the slope of the line is [tex]-\dfrac{5}{2}[/tex] only in option D and the y-intercept is -3 which is different from -2.

The line [tex]y=-\dfrac{5}{2}x-3[/tex] is parallel to the given line and parallel lines have no solution. So, the second equation of the system of equations is [tex]y=-\dfrac{5}{2}x-3[/tex].

Therefore, the correct option is D.

Step-by-step explanation:

[tex] \sqrt{7x {}^{2} } - 7 \sqrt{49x} \\ \sqrt{7} x - 7 \times 7 \sqrt{x} \\ \sqrt{7} x - 49 \sqrt{x} [/tex]

Answer:

1224 cm^3

Step-by-step explanation:

volume = bottom area x height

102x12=1224

The fish tank holds 1224 cc of water.

In mathematics, volume is the space taken by an object.

Here, given that,

The area of the bottom of the tank =A= 102 cm²

now, the height of the water in tank = h= 12cm

we know, volume of water= A× h  

                                           =102×12 cc

                                           =1224 cc

Hence, required volume is 1224 cc

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Answer:

25

Step-by-step explanation:

3(5)+10 = 15 + 10 = 25

Answer:

y = 2x + 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combine like terms

8+7y+2x+4y+4

11y+2x+12