1. Find an equivalent ratio to 12:9 such that the second number is 3.
O a. 6:3
O b. 4:3
O c. 9:3

The equation of point slope form of (1,10) and (5,42) is -2.7x + y - 3 = 0.

A straight line is represented using its slope and a point on the line using point slope form. In other words, the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1, y1).

given that

the coordinates points are (0,3) and (3,11)

(x1,y1) = (0,3)

(x2, y2) = (3,11)

The formula of point-slope is

(y - y1) = m(x - x1)

Here,

x1 = 0 and y1 = 3 but we don't know the value of m.

now,find the value of m using the following formula

[tex]m = \frac{(y2 - y1)}{(x2 - x1)}[/tex]

now, substitute the values, we get

[tex]m = \frac{(11 - 3)}{(3 - 0)}[/tex]

[tex]m = \frac{8}{3}[/tex]

m = 2.7

so, the value of m is 2.7.

substitute these values into the point-slope formula

(y - 3) = 2.7(x - 0)

y - 3 = 2.7x - 0

-2.7x + y - 3 = 0

Hence, the equation of point slope form of (1,10) and (5,42) is -2.7x + y - 3 = 0.

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The polygon P is translated and rotated respectively to obtain polygon Q.

A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

ABCD and EFGH are polygons P and Q respectively.

We will briefly outline each step required to convert each Polygon P into its corresponding Polygon Q in this question.

In this case, there is translation along a vector between point A and point H.

Then, when the polygon Q is rotated around point H.

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Answer:

The runners drank 661 bottles of water.

Step-by-step explanation:

Subtract 661 from 750, and you are left with 89.

The  area of the given sector is 98.2 sq. units.

The area of a sector is the space inside the section of the circle created by two radii and an arc.

The area of a sector is a fraction of the area of the entire circle.

Mathematically, the area of a sector is given as;

A = θ/360 (πr²)

where;

The area of the given sector is calculated as follows;

In the given diagram, θ = 50⁰, r = ST = UT = 15 units

A = (50/360) x (π x 15²)

A = 98.2 sq. units

Thus, the  area of the given sector is 98.2 sq. units.

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Answer:

guy yunby

Step-by-step explanation:

Huh uu.

Answer:  [tex]\frac{8}{4}[/tex] = 2

Step-by-step explanation:

5 - 3 = 2

2 x 2 x 2 x 2 = 16

24 - 16 = 8

[tex]\frac{8}{4}[/tex]

Simplify

[tex]\frac{8}{4}[/tex] = 2

Answer:

0

Step-by-step explanation:

g(-3) = -(-3)-3

Greetings from Brasil...

Just take the cross product of the vectors EF and EH. The result will be a vector n. This vector (n) will help in the equation of the plane

vector EF = point F - point E

vector EH = point H - point E

check the attachment

according to the example in the annex, we notice that the points E, F and G are in the plane whose equation will be:

π : 6X + 9Y + 5Z + 1 = 0

Seaborgium-266 will have 60 half life in 30 minutes.

It is given in the question that Seaborgium-266 has a half life in 30 sec.

Since half life is given in seconds , convert 30 min in seconds .

1 min= 60 sec

so 30min= 30*60 sec

30 min= 1800 sec.

According to the question

30 sec = 1 half life

1 sec = 1/30 half life

For 1800 sec

[tex]1800 sec = 1800*\frac{1}{30}[/tex] half life

=60 half life

Therefore , Seaborgium-266 will have 60 half life in 30 minutes.

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Answer:

The measure of angle F is 74°.

Step-by-step explanation:

[tex]9x - 38 + 2x + 42 = 180[/tex]

[tex]11x + 4 = 180[/tex]

[tex]11x = 176[/tex]

[tex]x = 16[/tex]

For angle F: 2(16) + 42 = 32 + 42 = 74°

Molly's earning increased by 25%

Percentage increase formula is

Increase/ original value × 100

The first step is to calculate the increase by subtracting 120 from 160

160 -120

= 40

Therefore the percentage increase can be calculated as follows

= 40/160 × 100

= 0.25 × 100

= 25

Hence Molly's earnings increased by 25%

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Answer:

2$!$! jdnznwi bdbejsn uebeij737 y

If it is suggested that people of age, less than or equal to 18 years and of age, greater than or equal to 50 years, should be the first to get a flu vaccine, then we can define a variable "A" to the age group suggested to be prioritized for to vaccinate with the flu vaccine, and the compound inequality to describe the situation can be written as [(A ≤ 18) or (A ≥ 50)].

As per the question statement, it is suggested that people of age, less than or equal to 18 years and of age, greater than or equal to 50 years, should be the first to get a flu vaccine.

We are required to define a variable to the age group suggested to be prioritized for to vaccinate with the flu vaccine, and describe the question mentioned situation in the form of a compound inequality.

To start with, let us first determine the variable. It is as simple as assuming any alphabet, say "A", to be the age group, suggested to be prioritized for to vaccinate with the flu vaccine.

Since, suggested that people of age, less than or equal to 18 years should be amongst the the first to get a flu vaccine, thus "A" must be less than equal to 18, i.e., [tex][A\leq 18][/tex]...(1)

Similarly, suggested that people of age, greater than or equal to 50 years should be amongst the the first to get a flu vaccine, thus "A" must be greater than equal to 50, i.e., [tex][A\geq 50][/tex]...(2)

Now, combining (1) and (2), we get our required compound inequality to be [(A ≤ 18) or (A ≥ 50)].

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Points that map onto themselves are said to be invariant points. Invariant points can occasionally appear during a rotation.

Do rotations have invariant points?

Points that map onto themselves are said to be invariant points. Invariant points can occasionally appear during a rotation.

The point of rotation is invariant when a figure is rotated about that point. There are no invariant points in a rotation of a figure centered on a point that is not on the figure.

Point P is an invariant point in the rotation shown below.

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AB = CA This triangle comprises two sides that are congruent. As a result, it is isosceles.

A coordinate system is a method of determining the position of points or other geometric components on a manifold, such as Euclidean space, by using single or more numbers, or coordinates.

Use the Distance Formula to find the lengths of AB ,BC and CA.

AB has endpoints A(–2, –1) and B(–1, 3).

AB = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the values we get:

AB = √((-1 - (-2))² + (3 - (-1))²)

     = √((1)² + (4)²)

     = √(1 + 16)

    = √(17)

BC has endpoints B(–1, 3) and C(2, 0).

BC = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the values we get:

BC = √((2 - (-1))² + (0 - 3)²)

      = √((3)² + (-3)²)

       = √(9 +9)

       = √(18)

CA = has endpoints C(2, 0) and A(–2,–1).

CA = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the values we get:

CA = √((-2  - 2)² + (-1 - 0)²)

     = √((-4)² + (-1)²)

     = √(16 +1)

    =  √(17).

AB = CA. This triangle comprises two sides that are congruent. As a result, it is isosceles.

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The postulate of equality or inequality that is illustrated is the transitive postulate of equality

The illustrated expression is given as

If 1/4 + 1/4 = 2/4 and 2/4 = 1/4 then 1/4 + 1/4 = 1/2

In the above expression, we do not have any inequality sign

This means that the expression is an equation i.e. equality

The transitive postulate of equality states that

if a = b and b = c, then a = c

The given equality expression illustrates the transitive postulate of equality

i.e.

If 1/4 + 1/4 = 2/4 and 2/4 = 1/4 then 1/4 + 1/4 = 1/2

if      a = b            and b = c,     then a = c

Hence, the postulate of equality or inequality that is illustrated is the transitive postulate of equality

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The least common denominator of 3/4 and 15/16 is 16.

So, LCD od 3/4 and 15/16:

Now, the denominator of both the fractions is the same which is 16.

Therefore, the least common denominator of 3/4 and 15/16 is 16.

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Answer: X+7=19 what is x

Step-by-step explanation:

The ray, line, or line segment that divides an angle into two congruent angles is known as an angle bisector.

There are 4 important elements to notice about two-column proofs.

1) The first column exists utilized to write math statements.

2) The second column exists utilized to write the reasons you make those statements.

3) The statements are numbered and follow a logical order.

The angle bisector theorem in geometry is concerned with the relative lengths of the two segments of a triangle's side that are divided by a line that bisects the opposite angle. It compares their lengths to the lengths of the other two sides of the triangle.

The ray, line, or line segment that divides an angle into two congruent angles is known as an angle bisector.

Let CB bisects [tex]\angle[/tex] ABD and [tex]\angle[/tex] ACD

[tex]\angle[/tex] ABC ≅ [tex]\angle[/tex] DBC (Definition of angular bisector)

[tex]\angle[/tex] BC ≅ [tex]\angle[/tex] BC  (Reflexive Property)

[tex]\angle[/tex]  ACB ≅ [tex]\angle[/tex] DCB (Definition of angular bisector)

[tex]\triangle[/tex] ABC ≅ [tex]\triangle[/tex] DBC (ASA)

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The length of the hypotenuse of a 45°-45°- 90° triangle with a leg length of 6 centimeters is 8.49 approximately.

To find the hypotenuse of 45°-45°-90° triangle:

The formula to calculate the hypotenuse of 45°-45°-90°  triangle is to multiply the length of the leg by [tex]\sqrt{2}[/tex].

How to find the length of the hypotenuse?

The length of the two legs of 45°-45°-90° triangle is equal.

Then the length of its hypotenuse will be calculated by multiplying the length of the leg and [tex]\sqrt{2}[/tex] .

Since the length of the leg is 6 centimeters,

Then its hypotenuse will be:

h = 6 × [tex]\sqrt{2}[/tex]

h = 8.485

h ≈ 8.49

So, the length of the hypotenuse will be 8.49.

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The equation is 12.50h + 25= 75

The number of hours is 4

Ms Nishino uses zipcar

She only wants to spend $75 each month

Zip charges $25 a month plus $12.50 per hour of car rental

The equation can be written as follows

12.50h + 25= 75

collect the like terms

12.50h= 75-25

12.50h= 50

h= 50/12.50

h= 4

Hence the number of hours Ms.Nishino can rent from Ziper each month is 4 hours

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Answer:

Option 3

Step-by-step explanation:

Answer:

2x + y= 6 y= 3x +4

Step-by-step explanation:

2x + (3x + 4) = 6(3x + 4)

Adding the June amounts from the given table, his total time is of 46.2 minutes.

The times for the month of June are given by the second row, hence:

Hence the total time is given as follows:

9.5 + 13 + 23.7 = 46.2 minutes.

His total time is of 46.2 minutes.

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Answer: 46.2 minutes.

Step-by-step explanation:

Answer:

Here,

x+(-5) = 4

x = 4+5

x = 9

Therefore, 9+(-5) = 4

The general form of a linear equation is y - y1 = m(x - x1) then the  point-slope form exists y - 5 = 3(x - 9)

The general structure of a linear equation exists y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that exists not the y-intercept).

Given: (x1, y1) = (9, 5) and (x2, y2) = (8, 2)

The point-slope form exists given by,

y - y1 = m(x - x1)

m = (y2 - y1)/(x2 - x1)

substitute the values in the above equation, we get

m = (2 - 5)/(8 - 9)

m = 3

The value of m = 3.

y - 5 = 3(x - 9)

Therefore, the point-slope form exists y - 5 = 3(x - 9).

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Answer:

So she takes around 10 minutes to jog 1 mile. So 12 miles would take her 122 minutes

The statement "If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines" is false because "If ∠ 1 ≅ ∠ 5 , then lines p and q are parallel lines"

Given,

The statement " If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines"

Here,

Two lines are cut by a transversal.

If ∠ 1 ≅ ∠ 5  we can say that two parallel line cut by transversal and both are corresponding angles

So,  If ∠ 1 ≅ ∠ 5 , then lines p and q are parallel lines

Hence, the statement "If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines" is false,  because "If ∠ 1 ≅ ∠ 5 , then lines p and q are parallel lines"

The complete question is :

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

If ∠ 1 ≅ ∠ 5 , then lines p and q are skew lines.

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There will be 660.425 dollars cost to fill up the pool.

The newly built single-depth olympic size swimming pool (50m by 25m by 2m) needs to be filled up.

Here,

Length of swimming pool = 50m

Width of swimming pool = 25m

Depth of swimming pool = 2m

The volume of a cuboid is equal to the product of the length, width, and height of a cuboid.

The volume of a cuboid is length × breadth× height

As it is 3D geometry

The volume will be L×W×H i.e. 50×25×2 = 2500 m³

Since one cubic meter is equal to 264.172052 gallons,

So 2500 m³ = 264.17 × 2500 = 660425 gallons

If the water bill is equivalent to $1 per 1000 gallons

So 660425/1000 = 660.425

Hence, there will be 660.425 dollars cost to fill up the pool.

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Answer:

e, all of the above steps help establish good credit history

Step-by-step explanation:

Answer: E.

Hope this helps.