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find the area of the trapezoid below by decomposing it into familiar shapes

Answer:

Since the ratios are not equal the triangles are not similar

Step-by-step explanation:

Triangle Similarity

For both triangles to be similar, their corresponding side lengths should be proportional by the same scale factor.

Triangle BAK has side lengths: BA=60, AK=38, and KB=36

Triangle JOL has side lengths: JO=50, OL=28, and LJ=26.

Calculating the ratios of the corresponding side lengths:

BA/JO=60/50=1.2

AK/OL=38/28=1.36

KB/LJ=36/26=1.38

Since the ratios are not equal the triangles are not similar

Answer:

i dont know how to leave from this....

Step-by-step explanation:

someone else answered your question sorry i just dont know how to leave fromthis

Answer:

65

Step-by-step explanation:

Answer: it would be 100 plus 65 = 165 hope this helped

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Given:

Amount invest p = Tk.x

Number of year t = 4

Rate r = x%

Profit = Tk.x

Find:

Value of x

Computation:

Profit = prt / 100

Tk.x = [(Tk.x)(x)(4)] / 100

x = 100 / 4

x = 25

Answer:

its in progress so tell ur teacher.

Step-by-step explanation:

As per transformation of graph, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted up 12 units.

"Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of ([tex]\frac{1}{a}[/tex]).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 5 and b = 12.

Now, if we horizontally compress f(x) it by a factor of ([tex]\frac{1}{5}[/tex]) then it be ([tex]\frac{1}{5}[/tex])x².

Again,  if we shifted up f(x) by 12 units, then it be ([tex]\frac{1}{5}[/tex])x² + 12.

Therefore, h(x) = ([tex]\frac{1}{5}[/tex])x² + 12 represents that the graph of f(x) is horizontally compressed by a factor of 5 and shifted 12 units up.

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Answer:

the ans is -x^2-3x+40........

Answer:

(5 - x )(8 + x)

Step-by-step explanation:

A(x) = x² - 10x + 25 - (x - 5)(2x + 3)

x² - 10x + 25 = (x - 5)²

A(x) = (x - 5)² - (x - 5)(2x + 3) =

(x - 5)(x - 5 - 2x - 3) =

(x - 5)(- x - 8) =

(5 - x )(8 + x)

Answer:

x = 10

Step-by-step explanation:

x x 2 + x - 30 = 0          use the commutative property to reorder the terms

2x + x - 30 = 0             collect like terms

3x - 30 = 0                move constant to the right hand side and change its sign

3x = 30                      divide both sides of the equation by 3

x = 10

Answer:

7 pieces

Step-by-step explanation:

21 yards have 63/3 of rope

2 2/3 yards are 8/3 yards

63/3 devided by 8/3 is almost 7 and 7/3

Answer:

80%

Step-by-step explanation:

you just move the decimal over twice have a great day

Answer:

m∠1 = 112°

Step-by-step explanation:

To solve for m∠1, we need to find the supplementary angle and subtract from 180°.  We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.

Therefore m∠2 + x + x = 180; combine x's

m∠2 + 2x = 180; substitute m∠2 = 44°

44 + 2x = 180; subtract 44 from both sides

2x = 136; divide by 2

x = 68°

Therefore using the supplementary angle

x + m∠1 = 180 (because it is supplementary)

68 + m∠1 = 180; subtract 68 from both sides

m∠1 = 112°

Answer:

xy = 450

Step-by-step explanation:

The relationship will be xy=450.

The area defines the extent of the region in which we are working.

As we know,

The area of a rectangle is given by xy=A

Where x, and y are the sides and A is the area.

So, the relation will be xy=450.

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Answer:

56

Step-by-step explanation:

Answer:  f(x) = 2x - 3

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

We're given f(-1) = -5 and f(5) = 7

This means we know the two points (-1,-5) and (5,7) are on the line.

Find the slope

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

m = (7-(-5))/(5-(-1))

m = (7+5)/(5+1)

m = 12/6

m = 2

The slope is 2.

Use this along with (x1,y1) to find the equation. We'll use point slope form

y - y1 = m(x - x1)

y - (-5) = 2(x - (-1))

y + 5 = 2(x + 1)

y = 2x + 2 - 5

y = 2x - 3

f(x) = 2x - 3

Answer:

#5 x=8, #6 x=5

Step-by-step explanation:

Theyre vertical so for number 5 you would have the equation

5x+15=55

    -15   -15 from both sides

5x=40

divide by 5 from both sides and you get

x=8

Same thing vertical so you would have  

16x+7=87

    -7    -7 from both sides

16x=80

divide by 16 from both sides

x=5

Answer:

Wheres the picture that gose with it ?

Step-by-step explanation:

Answer:

x= 17

Step-by-step explanation:

Go to

Answer:

y = 4/3x - 6

Step-by-step explanation:

The slope of the 1st line is -3/4

So for the perpendicular line it has to be the exact opposite.

That looks like this ---> 4/3x

And the y-intercept is -6 because if you make a straight line where the x intercept is it matches.

The equation would look like this

y = 4/3x - 6

Hope this helps! Have a blessed day!

Answer:

Step-by-step explanation:

given data

fixed cost= $14,000

variable cost function

[tex]V(x) = 0.000001x^3 - 0.01x^2 + 50x[/tex]

revenue function

[tex]R(x) = -0.02x^2 + 150x \; \quad \; (0 \leq x \leq 7500)[/tex]

a. we know that total cost C=fixed cost plus variable cost

C=14000+0.000001x^3 - 0.01x^2 + 50x

[tex]C=14000+0.000001x^3 - 0.01x^2 + 50x[/tex]

profit is given as revenue minus the total cost

P=R(x)-C   (x=2600)

[tex]P=-0.02x^2 + 150x -(14000+0.000001x^3 - 0.01x^2 + 50x)[/tex]

substitute x=2600

[tex]P=-0.02(2600)^2 + 150(2600) -(14000+0.000001(2600)^3 - 0.01(2600)^2 + 50(2600))[/tex]

[tex]P=-135200+390000-(1400+17576-67600)[/tex]

[tex]P=-254800-(48624)\\\\P=-254800-48624\\\\P=-303,424[/tex]

Answer:

EF = 7 + 39 = 46

Step-by-step explanation:

EF = FG

x + 39 = 7x - 3

39 + 3 = 7x - x

42 = 6x

x = 42/6

x = 7

hope this helps :)

Answer: x = -4 or x = 7

Step-by-step explanation:

x^2 - 3x - 28 =/>

(factor)

(x^2 + 4)(x-7) = 0

x + 4 = 0 or x - 7 = 0

(subtract -4 from 0 and 7 from 0)

x = -4 or x =7

Answer:

(infinity, -4] or [7, infinity).

Step-by-step explanation:

right on edge

Answer:

49 words per minute

Step-by-step explanation:

2/3 of a minute is 40 so you want to multiply 36 by 1.3 to get a rough answer which gets you 46.8. you can round that up to 49. the typing speed is 49 words per minute

May I get brainliest please? :)

Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,

Typing speed of Yousef = 36 words/ (2/3) minutes

                                         = (36×3)/2 words per minute

                                         = 54 words per minute

Hence, the typing speed of Yousef in a minute is 54 words per minute.

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Answer:

Weight of Smaller Bag = 7kg

Weight of Larger Bag = 22kg

Step-by-step explanation:

x = weight of smaller bag

x + (x + 15) = 29

2x + 15 =29

2x = 14

x = 7

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ?  || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

[tex]Ratio = \frac{Minutes}{Mile}[/tex]

When minutes = 16; mile = 4

So, we have:

[tex]Ratio = \frac{16}{4}[/tex]

[tex]Ratio = 4[/tex]

Next, we multiply the ratio by 7.5

[tex]Minutes = Ratio * 7.5[/tex]

[tex]Minutes =4 * 7.5[/tex]

[tex]Minutes = 30[/tex]

Hence, option B answers the question.

Answer:

42%

Step-by-step explanation:

100% - 58% = 42%

Step-by-step explanation:

in one month , it runs for 52/12 weeks

that is 4 weeks

Translate this to english

Por favor ayúdame, no puedo tener constante y> -2x + 1

y≤ x + 3 caca es 6 pies arriba en la jaula de mi perro