the dashed line triangle is a dilation image of the solid lined triangle is the dilation an enlargement or a reduction? what is the scale factor of the dilation?
A. reduction; 1/4
B. Enlargement; 2
C. reduction; 1/2
D. reduction; 2

Answer:

Each lap is 1.25 miles, so multiply the number of laps with 1.25 to get your answer.

Step-by-step explanation:

1 lap = 1.25 miles

2 laps = 2.5 miles

3 laps = 3.75 miles

4 laps = 5 miles

5 laps = 6.25 miles

6 laps = 7.5 miles

7 laps = 8.75 miles

8 laps = 10 miles

9 laps = 11.25 miles

10 laps = 12.5 miles

Answer: 4.1 hours (4 hours and 6 minutes)

Equation: 250=50x+45

Step-by-step explanation:

The equation would be: 250=50x+45

x represents the number of hours worked

Next, solve your own equation: 250=50x+45

205=50x

4.1=x

Answer:

$648

Step-by-step explanation:

The number of green fish are in the aquarium is 6.

Given that,

The aquarium has 3 more yellow fish than green fish.

60 percent of the fish are yellow.

Let us assume the green fishes be x and the yellow fishes are y.

Total no of fished = x + y.

And, y = x + 3

Based on the above information, the calculation is as follows:

Now, put y = x + 3

So,  

60%(y+x)=y

[tex]\frac{60}{100}(x+3+x)=x+3[/tex]

60(2x+3)=100(x+3)

120x + 180 = 100x + 300

20x = 120

x = 6

Hence the number of green fishes are x=6  

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Answer:

x < 5

Step-by-step explanation:

Hence, the two triangles have the same side length so they are congurent triangles.

What is the congurency?

The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal.

Here given triangles are

In Δ[tex]FGH[/tex] and Δ[tex]JKL[/tex] are congruent. If they are, give the reason, if they aren't choose "not congruent".

[tex]F(-5, 10), G(-2, 2), H(-9, -7), J(0, -5), K(9, 2), L(-8, -2)[/tex]

We know the distance formula

ie., [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Length in between [tex]FG[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-2-(-5))^2+(2-10)^2}\\\\d=\sqrt{(-2+5)^2+(2-10)^2}\\\\d=\sqrt{(3)^2+(-8)^2}\\\\d=\sqrt{9+64}\\\\d=\sqrt{73}[/tex]

Length in between [tex]GH[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-9-(-2))^2+(-7-2)^2}\\\\d=\sqrt{(-9+2)^2+(-7-2)^2}\\\\d=\sqrt{(-7)^2+(-9)^2}\\\\d=\sqrt{49+81}\\\\d=\sqrt{130}[/tex]

Length in between [tex]HF[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-5-(-9))^2+(10-(-7))^2}\\\\d=\sqrt{(-5+9)^2+(10+7)^2}\\\\d=\sqrt{(4)^2+(17)^2}\\\\d=\sqrt{16+289}\\\\d=\sqrt{305}[/tex]

Length in between [tex]JK[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(9-0)^2+(2-(-5))^2}\\\\d=\sqrt{(9)^2+(2+5)^2}\\\\d=\sqrt{(9)^2+(7)^2}\\\\d=\sqrt{81+49}\\\\d=\sqrt{130}[/tex]

Length in between [tex]KL[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-8-9)^2+(-2-2)^2}\\\\d=\sqrt{(-8-9)^2+(-2-2)^2}\\\\d=\sqrt{(-17)^2+(-4)^2}\\\\d=\sqrt{289+16}\\\\d=\sqrt{305}[/tex]

Length in between [tex]LJ[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(0-(-8))^2+(-5-(-2))^2}\\\\d=\sqrt{(0+8)^2+(-5+2)^2}\\\\d=\sqrt{(8)^2+(-3)^2}\\\\d=\sqrt{64+9}\\\\d=\sqrt{73}[/tex]

Therefore, [tex]FG[/tex]≅[tex]LJ-GH[/tex]≅[tex]JK-HF[/tex]≅[tex]KL[/tex]

Hence, the two triangles have the same side length so they are congurent triangles.

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Answer:

I agree due to everything stated there everything is perpendicular and is equal to the each other.

PLEASE GIVE BRAINLIEST THANK YOU!!!

The other midpoint is 3+9i in the given complex plane.

Given that,

We know that the middle point is: (-1+i)

And the end point  is: (-5-7i)

We know that the formula to find the middle point is:

(x1+ x2 /2, z1+z2/2)

We wish to find the point x1,z1

So we can write the following equation

x1 + (-5)/2 = -1  --------> 1

and

z1 + (-7i)/2 = i ----------->2

Now we clear x1 from equation (i) and clear z1 from equation (ii)

For equation (i) we have:

-2 = x1 -5

x1 =3

For equation (ii) we have:

2i = z1 - 7i

z1 = 9i

Then the initial point is: 3+9i

So, The other endpoint is 3+9i

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For the actual number 3 and the predicted value 1.6 the residual  is equal to 1.4.

As given in the question,

The actual number is equal to 3

The predicted value is equal to 1.6

The residual is the difference between actual number and predicted value.

Formula for the residual is:

Residual = Actual number - Predicted value

Substitute the value of the actual number and the predicted value in the formula ,

⇒ Residual = 3 - 1.6

⇒ Residual = 1.4

Therefore, the residual for the given the actual number and the predicted value is given by 1.4.

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Answer:

B

Step-by-step explanation: Good luck on your test

Answer:

(y – 4) = 1(x +6)

Step-by-step explanation:

y – y₁ = m(x – x₁)

(y – 4) = 1(x –(–6))

(y – 4) = 1(x +6)

Step-by-step explanation:

Answer:

Minimum Unit Cost = $14,362

Step-by-step explanation:

The standard form of a quadratic is given by:

ax^2 + bx + c

So for our function, we can say,

a = 0.6

b = -108

c = 19,222

We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a

So,

-(-108)/2(0.6) = 108/1.2 = 90

Plugging this value into original function would give us the minimum (unit cost):

The value of x for the given expression 25.75x + 22.00 = 19.50x+47.00 will be 4.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

25.75x + 22.00 = 19.50x+47.00

25.75x - 19.50x = 47.00 - 22.00

6.25x = 25

x = 4

Hence "The value of x for the given expression 25.75x + 22.00 = 19.50x+47.00 will be 4".

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The Test value for difference between the mean numbers of calls for the two shifts at the 0.05 level of significance is 31.94

According to the question,

Karen's data:

Sample size : n₁ = 37

Sample mean = 4.5

Sample standard deviation : s₁ = 1.1

Jodi's data ,

Sample size : n₂ = 32

Sample mean = 5.3

Sample standard deviation : s₂ = 1.5

To calculate significance difference between two means we use t-test

t = difference of mean / √(pooled variance / n₁ + n₂)

Pooled Standard deviation = [tex]\sqrt(\frac{(n_1 - 1)s_1^{2} + (n_2 - 1)s_2^{2})}{n_1 + n_2 -2}[/tex]

=> [tex]\sqrt(\frac{(37 - 1)1.21+ (32 - 1)2.25)}{37 + 32 -2}[/tex]

=> [tex]\sqrt(\frac{(43.56+ 69.75)}{67}[/tex]

=>[tex]\sqrt(\frac{(113.31)}{67}[/tex]

=> √1.6911

t = 37 - 32 / (√1.6911/37+32)

=> 5 / √0.0245

=> 31.94  is test value

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Answer:

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

Function c(d):

Find the value of c(d) when d = 206:

Answer:

Cost = $83.44

Step-by-step explanation:

The given equation is,

→ c(d) = 0.24d + 34

Now the required cost will be,

→ c(d) = 0.24d + 34

→ c(206) = 0.24(206) + 34

→ c(206) = 49.44 + 34

→ c(206) = $83.44

Hence, the cost is $83.44.

The vertices of the original triangle are:

(-3,-2) , (0,6) and (1,3)

Given,you rotate a triangle 270° counterclockwise about the origin.

Then you translate its image 2 units right and 1 unit down.

The vertices of the final image are (0, 2), (8,-1), and (5,-2).

we are asked to find  the vertices of the original triangle =?

Before translating the image of final image 2 units right and 1 unit down.

the vertices of the triangle is:

(0-2,2+1) → (-2,3)

(8-2,-1+1) → (6,0)

(5-2 , -2+1) → (3,-1)

{translate the final image 2 units left, 1 unit up again}

then before rotate 270° counterclockwise.

the vertices of the triangle is:

(-2,3) → (-3,-2)

(6,0) → (0,6)

(3,-1) → (1,3)

{rotate 270° clockwise again }

Hence the vertices of the original triangle is:

(-3,-2) (0,6) and (1,3)

Hence we get the required vertices of the triangle.

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The time saved will be: x - m/k This is a simple exercise in manipulating symbols. Let's take a look at the problem and break it down. "Stanley drives m miles in x hours" This statement immediately gives us 2 variables; "m" to represent how many miles the trip is and "x" for the number of hours it took Stanley to drive that far. Now let's look at the next statement. "How many hours would he save if he drove the same distance at k miles per hour?" This statement gives us another variable "k" for a new speed and gives us the question to answer. How many hours would Stanley save if he made the trip at a different speed. Since we're interested in hours saved, we need 2 different time values. They are 1. How much time did Stanley originally take? 2. How much time will the new speed make Stanley take? Looking at m, x, and k. We can immediately see that x is the original time that Stanley took. So we have that value. But we don't have any value for how long will it take at a new speed. But can we calculate it? And the answer to that is YES. The time it will take is the distance divided by the new speed. And that would be m/k. And since we're looking for savings, we just need to subtract the two time values. So our equation becomes x - m/k where x = original time taken m = distance of trip k = new speed to drive at.

Answer:

F is the correct answer

Step-by-step explanation:

5x-15-3x+10

2x-5

Answer:

704 people out of 800

Step-by-step explanation:

88% of 800= 704

The area of the given quadrilateral trapezoid ABCD with vertices A (-3,2) B (1,5) C (7,-3) D (0,-2) will be 37.5 square units.

A quadrilateral is a geometrical 2d shape with four sides, each side being connected and making a close polygon.

In other words, a quadrilateral is a polygon in which four sides, such as a trapezoid, square, and parallelogram, are quadrilateral.

As per the given quadrilateral as trapezoid,

The area of the trapezoid = 1/2 x (sum of parallel length) x perpendicular

The given trapezoid has been drawn below,

The length associated to two points (x₁, y₁) and (x₂, y₂)  is given by the formula;

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

The smaller parallel line = 5 unit

Bigger parallel line = 10 unit

Perpendicular distance = 5 unit

Area = 1/2 x (5 + 10) x 5 = 37.5 unit square.

Hence "The area of the given quadrilateral trapezoid ABCD with vertices A (-3,2) B (1,5) C (7,-3) D (0,-2) will be 37.5 square units".

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Square is the geometrical figure with certain properties which distinguishes from other geometrical figures.

In geometry, a square is a two-dimensional plane shape with four equal sides and four equal angles that add up to 90 degrees. The characteristics of a rectangle and a square are somewhat similar, although a rectangle only has its opposite sides equal. As a result, a rectangle is only referred to as a square if its four sides are of the same length.

Square

Below is a list of a square's key characteristics:

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Answer:

cm2 to inch2 conversion. Conversion square centimeters to square inches, cm2 to inch2. The conversion factor is 0.15500031000062; so 1 square centimeter ...

Step-by-step explanation:

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle.

= 2 ( length + width)

The number of 2(3/8) inches tickets to fit into the length of the wall is

154 tickets.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The perimeter of a rectangle.

= 2 ( length + width)

The wall is rectangular and has a perimeter of 408 ⅜ inches.

This means,

408 (3/8) = 2 (length + width)

3267/8 = 2 (length + width) _____(1)

Now,

The total width of the wall.

= 2 width

Now,

Length of the square stickers = 2 (3/8) inches = 19/8 inches

The number of stickers needed to cover the width of the wall = 18

2 width = 18 x 19/8 inches.

2width = 18 x 19/8

width = 171/8 inches

Now,

From (1) we get,

3267/8 = 2 (length + width)

3267/8 = 2 (length + 171/8)

3267/8 - 342/8 = 2 length

2925/(8 x 2) = length

2length = 2925/(8 x 2)

2length = 2925/8

The number of stickers to cover the total length.

= 2925/8 ÷19/8

= (2925 x 8)/ (19 x 8)

= 154

Thus,

The number of 2(3/8) inches tickets to fit into the length of the wall is

154 tickets.

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The variable that can be used to represent the number of points scored before is x and the algebraic expression is (3x - 2).

Algebra refers to the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

let

3 times the number of points scored before

= 3 × x

= 3x

two points fewer than 3 times the number of points scored before

= 3x - 2

Other examples of algebraic expression are:

2t - 5 + 3t

65x + y - 8y + 5x

In conclusion, the expression can be written in algebra form as 3x - 2

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Answer:

11/3

Step-by-step explanation:

3x+4=15

3x=11

x=11/3

1. When a function passes the horizontal line test, we can infer that its inverse is both known and exists.

You can use the vertical line test to determine whether an expression is actually a function; if it succeeds, it is. If the graph does, in fact, pass the vertical line test before passing the horizontal line test, it is a function. If it also passes the horizontal line test, it is a one-to-one function, which means there is a unique x-coordinate value for every unique y-coordinate value. Only one-to-one functions have an inverse expression that is also a function.

Graph:

A graph is a logical visual representation of any data in mathematics. The correlation between the variable values is depicted on the graph. A graph is used in graph theory to depict a group of items that are interconnected in some way. In essence, the vertices or nodes of the objects are mathematical notions, and the edges are representations of the connections between the nodes. In mathematics and statistics, many graph types are used to visually display data. The study of points and lines is the focus of the field of graph theory. It is a branch of mathematics with a focus on graph analysis. The mathematical truth is clearly illustrated in this artwork. Relationships are studied using the graph theory.

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Answer:

each side has to be the same for the triangle to be congruent

Answer:

In this case SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, SAA is a valid means for establishing triangle congruence. You can see in the following image. The triangles are the same, in other words congruent. How I figured it out was by making a random triangle (ABC) then finding the lengths and angles.  From there, I picked a random side (AB) and angles (A) and (B) after I transferred the information I had and put it into a new triangle. Using this formula to determine the third angle: 3rd angle (C = 45*) = 180* - angle A (45*) - angle B (90*). From there, I looked for where line (BC) and (CA) would connect. Leaving me with two congruent triangles.

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Answer:

1.8311095e+24

Step-by-step explanation:

41616125671617152751278 x 44 = the number above

why..

In the velocity - time graph, the value of t is 180 seconds

Velocity-time graph is a plot between Velocity and Time. It shows the Motion of the object that moves in a Straight Line. Magnitude of Velocity at a given instant is equal to its Instantaneous Speed. It is drawn for 1-D motion only and can take both positive and negative values.

The formula of speed by using the distance and time represented as

speed = distance / time

In the velocity time graph, we have we walked back home at constant speed of 2m/s

This can be represented mathematically as

2 = 150 / t - 105

solve for t in the equation

150 = 2(t - 105)

150 = 2t - 210

2t = 150 + 210

2t = 360

t = 360 / 2

t =  180 seconds

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One solution:  3x- 5y = 8; 5x - 3y = 2

3x + 2y = 8; 4x +3y = 1

acc to our question-

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