WHEN CALCULATING THE AREA OF A TRAPEZOID, HOW DO YOU DETERMINE WHICH SIDES ARE THE BASES

Answer:

C

Step-by-step explanation:

Since lines a, b, c, d, and XY are all parallel to each other, and are a part of the same triangle, they are all similar. Thus, we can compare rates -- the distance between P to Y is 12, and 2/3 of 12 is 8, so we need to find that length, which is C

The segment of line c shows the correct result of the dilation. Hence, the correct answer is option C.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Since lines a, b, c, d, and XY are all parallel and part of the same triangle, they are all similar. Thus, we can compare rates the distance between P to Y is 12, and 2/3 of 12 is 8, which is C.

Hence, the correct answer is option C.

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Answer: The area of the new parallelogram is multiplied by 18

Step-by-step explanation: Let the base and the height of the original parallelogram be ' x '

Base of the parallelogram = x

Height of the parallelogram = x

Area of parallelogram = l × b = lb

= x × x = x²

∴ Area of the original parallelogram = x²

∴ The base is multiplied by 3 = 3x

The height is multiplied by 6 = 6x

∴ Area of new parallelogram = 3x × 6x = 18x²

∴ The area of the new parallelogram is multiplied by = 18x²/ x²

= 18

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Answer:

Step-by-step explanation:

Given the length(l), height(h) and width(w) of a rectangular prism.

Surface Area=2(lw+lh+wh)

For a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards.

Surface Area[tex]=2(2.6*3.5+2.6h+3.5h)[/tex]

[tex]=2(9.1+2.6h+3.5h)\\=18.2+5.2h+7h\\[/tex]

Surface Area= (18.2+12.2h) square yards

If the height, h=4 yards

Then the surface area of the rectangular prism

=18.2+12.2h

=18.2+12.2(4)

=18.2+48.8

=67 square yards

Answer: 1st and 3rd 2nd and fourth hope this helps :3

Step-by-step explanation:

Answer:

The answer is "14.625 ft"

Step-by-step explanation:

In the given question some information is missing that is attachment of file which can be described as follows:

Add products:

[tex]\rightarrow \ (\frac{1}{8})\times 1+(\frac{1}{4})\times 1+(\frac{1}{2})\times 3+(\frac{3}{4})\times8+(1)\times4+1 \frac{3}{8}\times (2)1 \frac{3}{8} \\\\ \rightarrow 11/8\\\\[/tex]

[tex]\rightarrow \frac{1}{8}\times 1+(\frac{1}{4})\times1+(\frac{1}{2})\times3+(\frac{3}{4})\times8+(1)\times4+\frac{11}{8}\times(2)\\\\[/tex]

[tex]\rightarrow (\frac{1}{8})+(\frac{1}{4})+(\frac{3}{2})+(6)+(4)+\frac{11}{4}\\\\\rightarrow (\frac{1+2+12+48+32+22}{8}) \\\\\rightarrow \frac{117}{8} \\\\ \rightarrow 14.625 \ ft \\[/tex]

Answer:

The statements that are true for this equation are:

- The equation is an exponential growth equation.

- $228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.

Step-by-step explanation:

We have the equation

[tex]V= 228,000(1.03)^t[/tex]

Where V: value of the real state and t: time in years.

As t is always positive in this case, and 1.03 is larger than 1, the value V will rise exponentially. The equation is an exponential growth equation.

The difference in value for each year is:

[tex]\dfrac{V_{t+1}}{V_t}=\dfrac{1.03^{t+1}}{1.03^t}=1.03^{t+1-t}=1.03\\\\\\V_{t+1}-V{t}=1.03V_t-V_t=0.03V_t[/tex]

We can conclude that the value increases each year 0.03 (3%) from the previous year value, starting from $228,000 in the year t=0.

$228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.

Answer:

  3.0 miles

Step-by-step explanation:

The tangent of the angle relates the opposite side (altitude) to the adjacent side (distance to runway):

  tan(5°) = (altitude)/(distance to runway)

Then we have ...

  distance to runway = (1407 ft)/(tan 5°) ≈ 16,082 ft

In miles, that is ...

  distance to runway = (16082 ft)/(5280 ft/mi) = 3.0458 mi

The pilot is 3.0 miles from the runway at the start of his approach.

Answer:

First

Step-by-step explanation:

The first person in the line will always have an odd position, not an even one.  They will be the only one left.

Answer:

6.5%

Step-by-step explanation:

305.5/4700=0.065=6.5%

Answer:

1

Step-by-step explanation:

(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}

PEMDAS

Work from the inside out

Change subtracting negatives to adding

(−4)+2–{(−5)–[(−7)+(−3)+8)]}

(−4)+2–{(−5)–[(-2)]}

(−4)+2–{-5+2}

(−4)+2–(−3)

Changing to adding

(−4)+2+3

-2+3

1

Answer:

Decimal form: 0.00780379

Step-by-step explanation:

Used a calculator tbh.

Plz click the Thanks button!

<Jayla>

Answer:

the total weight of the grapefruits is 2100 pounds

Step-by-step explanation:

apples = a

mangoes = a/2

weight of pears=3*a/2

grapefruits=g

a+a/2=1200

3/2a=1200

1.5a=1200

a=800

800+400+1200+g=4500

g=2100

Therefore, the total weight of the grapefruits is 2100 pounds

I hope this helped and have a good rest of your day!

Answer:

Step-by-step explanation:

Please check below in the attached, you will see answer to given questions, thank you, I hope it helps.

Answer:

A = 153.9 cm^2

Step-by-step explanation:

The formula for the area of a circle of radius r is A = (pi)(r)^2.

Here, with r = 7 cm, the area is A = (pi)(7 cm)^2 = 49(pi)(cm)^2, or (to the nearest 10th):  A = 153.9 cm^2

Answer:

896+32=928in

Step-by-step explanation:

Answer:

an=n+2

Step-by-step explanation:

Answer:

Plese read the complete procedure below:

Step-by-step explanation:

The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)

a)

1   -6   3   26   -24    |  1    

     1   -5   -2    24

1   -5   -2   24    0

The remainder is zero, then (a-1) is a factor of the polynomial

b)

1   -6   3   26   -24    |  2    

     2  -8   10    72

1   -4   5   36    48

When p(a) is divided by (a-2) the remainder 28/p(a)

1   -6   3   26   -24    | - 4    

   -4  40  172  -792

1   -10  43  198  -816

When p(a) is divided by (a-2) the remainder -816/p(a)

c) I attached an image of the long division below:

Answer:

< 12,098

Step-by-step explanation:

Because yes

...........

It is <12,098

One of them is correct

Answer:

3

Step-by-step explanation:

1 / (1/3) = 3

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget ro thank me...

There are 41 white marbles in the bag.

Let's assume the number of green marbles is represented by "x". According to the given information, the number of white marbles is 3 less than 4 times the number of green marbles.

Number of white marbles = 4x - 3

The total number of marbles is given as 52, so we can write the equation:

Number of white marbles + Number of green marbles = Total number of marbles

(4x - 3) + x = 52

Combining like terms:

5x - 3 = 52

Adding 3 to both sides:

5x = 55

Dividing both sides by 5:

x = 11

Therefore, the number of green marbles is 11.

To find the number of white marbles:

Number of white marbles = 4x - 3

                       = 4 * 11 - 3

                       = 44 - 3

                       = 41

Hence, there are 41 white marbles.

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Answer:

10

Step-by-step explanation:

Answer:

A = 2x^2 + 17x -9

Step-by-step explanation:

A = LW

L = x + 9

W = 2x - 1

A = (x+9)(2x-1)

FOIL

A = 2x^2 + 18x - x - 9

A = 2x^2 + 17x -9

Answer:  7,500 passengers

Step-by-step explanation: Let's put the numbers from least to greatest...

5,000, 6,000, (7,000, 8,000,) 9,000, 10,000

Since there is an even number of numbers we will have two medians for the time being...

7,000 + 8,000 = 15,000

15,000 ÷ 2 = 7,500

Therefore, the median is 7,500, there are 7,500 passengers in total.

I hope this helps!

Answer:

No the given factors won't work. They are the opposite of what they should be.

Step-by-step explanation: The "zeros" of the graph are (-5,0) and (2,0) If you use substitute those x values in the factors, (-5-5) or (2+2) and put them into the function the results are false.

To get f(x)=0 the factors should be (x+5) and (x-2)

Answer:

(0,0)

Step-by-step explanation:

I think thats the only answer because the line goes through that point.

Answer:

There is no error. This is a correct conclusion.

Step-by-step explanation:

If a sequence of rigid transformations

(translations, reflections, and rotations) and dilations can map △DCE onto △ABE, then the figures are similar.

Notice that both triangles are right triangles (at vertices B and C), with line AB and DC being the longer legs.

Therefore, if the triangles are similar, we should be able to map each pair of corresponding points onto each other with rigid transformations and dilations:

   D should be mapped onto A.

   C should be mapped onto B.

   E should be mapped onto itself.

Lennox used a reflection across line BE and a dilation about E to get △DCE as close as possible to △ABE. But still, point D did not map onto point A.

So we can conclude that it's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations.

Lennox concluded:

"It's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations, so the triangles are not similar."

There is no error. This is a correct conclusion.

Answer:

there is no error

Step-by-step explanation:

I took the quiz on Khan and got it correct!

Answer:

In this example, if k = -7, this relationship is not a function, since x = -7 would have both y = 2 and y = 0.

Step-by-step explanation:

Requirement to be a function:

For a relationship to be a function, all values of x must have only one corresponding value of y.

In this question:

For x = -7, y = 2

For x = -1, y = 0

For x = 4, y = 0

For x = k, y = 0

A value of x must not have more than 1 value of y.

In this example, if k = -7, this relationship is not a function, since x = -7 would have both y = 2 and y = 0.

Answer:

a) add x , subtract 1 and divide by 4

The solution of given equation [tex]x = \frac{3}{4}[/tex]

Step-by-step explanation:

Given equation  1+3 x  = -x +4

                 Add 'x' on both sides , we get

                     1 + 3 x + x = - x + x +4

                     1 + 4 x  = 4

       Subtract '1' on both sides , we get

                    1+4 x -1 = 4 -1

                         4 x = 3

      Dividing '4' on both sides, we get

                          [tex]\frac{4x}{4} = \frac{3}{4}[/tex]

                          [tex]x = \frac{3}{4}[/tex]

Final answer:-

The solution of given equation [tex]x = \frac{3}{4}[/tex]