The polygons are similar. Find the value of x.

Answer:

y = -1/2 x + 25

The relationship is linear, but it takes some doing.

Step-by-step explanation:

Remark

This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.  

You have to introduce another variable which I labeled as z.

Let time = x

Let distance = y

Let the step away from the starting point = z   which will be the same for x and y. So 18 and 16 the step away from the start is 3.

So as the time increases, the distance decreases.  What we are going to do sort of resembles a parametric relationship.

t starts with 10

x = 10 + 4*(z - 1)   and increases by 4 with each step

d starts with 20 and decreases by 2 with each step

y = 20 - (z - 1)*2

Now solve for z in each of the forgoing equations.

x = 10 + 4z - 4

x = 6 + 4z

x - 6 = 4z

(x - 6)/4 = z

y = 20 - 2z + 2

y = 22 - 2z

y - 22 = - 2z

(y - 22)/-2 = z                    

Since the zs must be kept the same, the left sides are equated

(x - 6)/4 = (y - 22)/-2               Cross multiply

-2(x - 6) = 4(y - 22)                 Remove the brackets.

-2x + 12 = 4y - 88                   add 88 to both sides.

-2x + 100 = 4y                        Switch the sides

4y = - 2x + 100                       Divide by 4

y = -1/2 x  + 25

Now for sure you have to try this.

Let x = 14

y = -1/2 * 14 + 25

y = -7 + 25

y =  18

Try another one

Let x = 22

y = -1/2 * 22 + 25

y = - 11 + 25

y = 14

Those two at least check.

Answer:

c

Step-by-step explanation:

Answer:

82.083333333333%

Step-by-step explanation:

Answer:

3/45

Step-by-step explanation:

Answer: 1,257.14 ft

Step-by-step explanation:

The question is missing the vital detail of the diameter or radius of this circular pond which I found to be 400 feet.

The plants are to be planted around the pond which means that they are to be planted around the circumference of the pond.

The number of feet of flowers to be planted is therefore the circumference.

Circumference = π * diameter

= 22/7 * 400

= 1,257.14 ft

Answer: 14.5 feet

Step-by-step explanation: that’s he correct answer delta math gave me AFTER I got it wrong

Answer:

14.5

Step-by-step explanation:

Answer:

The answer is A:More than 75% of the students prefer Alternative or Hip Hop music.

Step-by-step explanation:

Answer:

621

Step-by-step explanation:

23(39-12) > 23(27)

23(27)= 621

Answer:

A3

B4

C6

D5

E2

F7

G1

Step-by-step explanation:

I matched the letter to number :)

Answer:

-42

Step-by-step explanation:

x/7 = y

y + 9 = 3

3 - 9 = y

y = -6

-6 * 7 = x

x = -42

Answer:

-42

Step-by-step explanation:

Do it backwards

Start with 3

SUBTRACT 9 to get -6

MULTIPLY by 7 to get -42.

Check:

Start: -42

Divide by 7: -6

Add 9: 3

Ding Ding!

Answer:

Step-by-step explanation:

Slope of AC= (a-0)/(a-0) = 1

Slope of BD = (0-a)/(a-0) = (-a)/a =-1

Slope of AC x Slope of BD =1 x -1 = -1

Therefore AC perpendicular to BD

Answer:

B Inequality

Step-by-step explanation:

since 12 is greater than 11 they are not equal

> this sign is the greater than sign

Given:

The graph of a relation contains three lines.

The first line goes from (-4,-4) to (-2, 1).

The second line goes from (-2, 1) to (1, 1).

The third line goes from (1, 1) to (6, 4).

There are closed circles at (-4,-4) and (6, 4).

To find:

The domain of the relation.

Solution:

Domain of relation is the set of x-values or the set of input values.

First line is defined from -4 to -2, second line is defined from -2 to 1 and third line is defined from 1 to 6.

There are closed circles at (-4, -4) and (6, 4). It means -4 and -6 are included in the domain.

Since the input values for the given relation is from -4 to 6, where -4 and 6 are included, therefore the domain of the relation is [-4,6].

Answer:

-4

Step-by-step explanation:

Answer:

-Entire triangle region : 120 sq.cm

-Area of semi circle : 100.53 sq.cm

-Entire composite figure : 220.53 sq.cm

Step-by-step explanation:

Area of triangle = ½ × base × height

= ½ × (8+8) × 15

=½ × 16 × 15

= 120 sq.cm

[tex]area \: of \: semi \: circle = \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times \pi \times {8}^{2} \\ = \frac{1}{2} \times \pi \times 64 \\ = 32\pi[/tex]

=100.530.......

=100.53 sq.cm (rounded to 2 decimal place)

Area of entire figure = 120 + 100.5353

= 220.53 sq.cm

Hope I could help:))

Answer:

No, this is not a correct amount. The correct amount is $203.88

Step-by-step explanation:

The computation of the credit card amount is shown below:

Given that

The credit card is $220.87

But if we calculate the credit card amount, so it would be

= 12 months × 16.99

= $203.88

hence, the credit amount is $203.88

And, the given amount is wrong

So, the correct amount is $203.88

Answer:

Surface area = 505cm²

Step-by-step explanation:

Surface area of the triangular prism. = 2B + ph

B is the base area

p is the perimeter of the triangle

h is the height of the triangle

Base area = 1/2 * base * height

Base area = 1/2 * 18 * 40

Base area = 9 * 40

Base area = 360cm²

Perimeter of the triangle = 41 + 41 + 18

Perimeter of the triangle = 100cm

height of the prism = 45cm

Surface area = 360 + 100 + 45

Surface area = 505cm²

Answer:

V≈94423.71

Step-by-step explanation:

V=πr2h=π·342·26≈94423.7088

Answer:

2) 2x + 6

3) 8x - 2

4) 5x - 8

Step-by-step explanation:

The quotient of expression (18x²+15x) divided by 3x is 6x+5.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

A quotient is a quantity produced by the division of two expressions.

Here,

A) (18x²+15x)÷3x

Now, 3x(6x+5)/3x

= 6x+5

B) (16x²+48x)/8x

= 8x(2x+6)8x

= (2x+6)

C) (56x²-14x)/7x

= 7x(8x-2)/7x

= 8x-2

D) (20x²-32x)/4x

= 4x(5x-8)/4x

= 5x-8

Therefore, the quotient of expression (20x²-32x) divided by 4x is 5x-8.

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Answer:

You need to buy 3 quarts of paint.

Step-by-step explanation:

Given

[tex]Coats =2[/tex]

[tex]Paint = 90ft^2/qt[/tex]

See attachment for stage

Required

Determine the number of quarts needed

First, we calculate the surface area of the stage (without the base).

This is calculated as:

Area = Area of Rectangle1 + Area of Rectangle 2 + 2 * Area of each triangle on both sides.

For the first rectangle, we have:

[tex]A_1 =Length * Width[/tex]

[tex]A_1 = 15.2 * 19.5 =296.4[/tex]

For the second rectangle, we have:

[tex]A_2 =Length * Width[/tex]

[tex]A_2 = 6* 19.5 = 117[/tex]

For each triangle on both sides

[tex]A_3 = 0.5 * Base * Height[/tex]

[tex]A_3 = 0.5 * 14 * 6 = 42[/tex]

So, the total area is:

[tex]Area = A_1 + A_2 + 2 *A_3[/tex]

[tex]Area = 296.4 + 117+ 2 *42[/tex]

[tex]Area = 497.4ft^2[/tex]

The amount of paint need is:

[tex]Amount = \frac{Area}{2\ coats}[/tex]

From the question, we understand that:

[tex]1\ coat =90ft^2/quart[/tex]

Multiply both sides by 2

[tex]2 * 1\ coat =90ft^2/quart * 2[/tex]

[tex]2 \ coats =180ft^2/quart[/tex]

So, we have:

[tex]Amount = \frac{Area}{2\ coats}[/tex]

[tex]Amount = \frac{497.4ft^2}{180ft^2/quart}[/tex]

[tex]Amount = \frac{497.4ft^2}{180ft^2}quart[/tex]

[tex]Amount = \frac{497.4}{180}quart[/tex]

[tex]Amount = 2.763\ quarts[/tex]

[tex]Amount \approx 3\ quarts[/tex] --- approximated

Answer:

s = 18 mph

Step-by-step explanation:

At downstream, time is; t = 11/(s+ 4)

At upstream, time is; t = 7/(s - 4)

Since they both are passed in the same time, then ;

11/(s+ 4) = 7/(s - 4)

Cross Multiply to get;

11(s - 4) = 7(s + 4)

11s - 44 = 7s + 28

11s - 7s = 44 + 28

4s = 72

s = 72/4

s = 18

Answer:

D. 60

Step-by-step explanation:

Add the percentages of 25% and 35% and you'll get 60.

Answer:

A 480

Step-by-step explanation:

in 2000=480 i don't know how to farther explain it to you.hope that helps.

Answer:

A quadrilateral has a parallelogram if one pair of opposite sides is congruent and parallel. Parallelograms are designed to have diagonals that bisect one another. When ABCD is bisected by — BD and —AC, then ABCD is a parallelogram.

Step-by-step explanation:

Answer:

A quadrilateral has a parallelogram if one pair of opposite sides is  coinciding exactly when superimposed and parallel. Parallelograms are designed to have diagonals that bisect one another. When abcd is bisected by  bd and ac, then abcd is a parallelogram.

Step-by-step explanation:

Complete Question

Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the volume of his cylinder in cubic inches?

Answer:

471.24 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder =

πr²h

r = Radius = 5 in

h = Height = 6 in

Hence,

Volume = π × (5 in)² × 6 in

= 471.24 cubic inches

Therefore, the volume of his cylinder in cubic inches = 471.24 cubic inches

Answer:

122.46 mi^2

Step-by-step explanation:

IF ans is correct comment back for explanation

Answer:I think the answer is x=27

Step-by-step explanation:

Answer:

all of them are much larger except number 2 which is close to 1

Step-by-step explanation:

Answer:

where is the picture

Step-by-step explanation:

I need the triangle to be able to solve this for you

Answer:

it should be the top answer

Step-by-step explanation:

it's asking for a fraction with 3 as a denominator that is greater than one. if you need a better explanation feel free to ask in a comment!

Answer:

2+x

--------- >1

3

Step-by-step explanation:

......ur welcome.......

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given the statement that the sum of a number x and 7 is 35. Therefore, the given statement "the sum of a number x and 7 is 35" in the form of an expression can be written as,

x + 7 = 35

Subtract 7 from both the sides of the equation,

x +7 - 7 = 35 - 7

x = 28

Hence, the value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.

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