Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. that has an extraneous solution. that does not have an extraneous solution. Part 3. Explain why the first equation has an extraneous solution and the second does not.

Answer:

BC = 24

Step-by-step explanation:

FD = 36, FE = 15 and CD = 18

By secant theorem.

DE • DF = CD • DB

(36 - 15) • 36 = 18 • DB

DB = 42

BC = DB - CD

BC = 42 - 18

BC = 24

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Answer:

80 pounds

Step-by-step explanation:

Answer:

63.6

Step-by-step explanation:

63.625

63.6

Answer:

63.6

Step-by-step explanation:

The tenth's place is one after the decimal point, and since 2 is closer to zero than ten, the 6 stays the same, making the answer 63.6.

Hopefully this helps- let me know if you have any questions!

Answer:

The probability of him pulling a red marble is 12 to 30. The probability of him pulling a blue or purple marble is also 12 to 30.

Step-by-step explanation:

7+5+12+6=30 (all colors)

12 to 30 red ones

7+5+12+6=30 (all colors) and

7+5=12 (blue + purple)

12 to 30 blue or purple

The length of the radius will be 22 units.

The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.

Now from the question, we have an expression:

[tex]r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )[/tex]

By solving the above equation we get

[tex]r=(\dfrac{18997}{864} )[/tex]

[tex]r=22[/tex]

Hence the length of the radius will be 22 units.

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Answer:

85/12

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2(3)+4 = 10

Answer:

∠B = 84

Step-by-step explanation:

Supplementary angles add up to 180°, You would subtract 96 from 180 to find angle B.

Answer:

=> ∠B = 84

Step-by-step explanation:

Given :

∠A + ∠B = 180°

∠A = 96°

=> 96° + ∠B = 180

=> ∠B = 180-96

=> ∠B = 84

the answer is ISABELLA YOUR BOYFRINDS HERE

Answer:

The perimeter is 50.

The area is 150.

Step-by-step explanation:

To calculate perimeter, add the length and width, then multiply the sum by 2.

( 15+10=25. 25*2=50 )

To calculate area, multiply the length and width.

( 15*10=150 )

Answer:

0

Step-by-step explanation:

Since B = 16  and C = 9 we can plug into the equation.

(9) + 3 (6 - 9)

Since order of operations we subtract 9 from 6

6 - 9 = -3

Now we do -3 x 3 = -9

Now add -9 to 9

-9 + 9 = 0

Answer:

Step-by-step explanation:

3(6 - 9)

3(-3)= -9

9 + (-9) = 0

Answer:

The first one: 13.125 ft³

The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

The volume of a prism is length x width x height.

So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3  dimensional.

For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

6 x 2.5 x 4.5 = 67.5

Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

Answer:

13.125 [tex]ft^{3}[/tex]

Step-by-step explanation:

Volume is base * length * height.

In this case, the dimensions are 1.5, 3.5, and 2.5.

Assuming these values are the base, length, and height,

1.5 * 3.5 * 2.5 = 13.125 [tex]ft^{3}[/tex].

Also, using the volume formula, the bottom shape's volume is 67.5 [tex]ft^{3}[/tex].

Hope this helps!

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Answer:

Answer:

SORRY

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Answer:

Positive

Step-by-step explanation:

Negative over a negative cancel out and become positive.

Answer:

A

Step-by-step explanation:

Hope this helped

Answer:

2

Step-by-step explanation:

The scake factor is 2

Answer is 2

Answer:

the median is 10

Step-by-step explanation:

8, 8, 9, 10, 12, 12, 13

8, 9, 10, 12, 12

9, 10, 12

10

Answer:

10

Step-by-step explanation:

Hunter can make a total of 40 cups before he runs out of budget.

We know his total budget was $50 but he already spent $20 on a pitcher and cups.

This means the total of money just for the lemonade is $30.

To find this number divide the budget for lemonade by the cost of a lemonade cup $0.75.

Based on this, the total of cups he can make is 40 cups.

Learn more about budget in: https://brainly.com/question/15712390

Answer:

A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,

                           2880 = 24(x)(x - 7)

Simplifying,

                           2880 = 24x² - 168x

B. The value of x from the equation is 15. Thus, the answer is YES.

Step-by-step explanation:

a) The equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.

b)Yes, it is possible for the height of the box to be 15 inches

Volume is the three-dimensional space bounded by a boundary or inhabited by an item.

The given data in the problem is;

L is the length of the box= 24-inch

V is the volume = 2,880 cubic inches.W

W is the width of the box

h is the height

Let the side of the box is x then volume V is found as;

V=LWh

2880 = 24(x)(x - 7)

2880 = 24x² - 168x

Hence the equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.

b)Yes, it is possible for the height of the  box to be 15 inches

The value of x obtained from the equation is 15.

Hence yes, it is possible for the height of the  box to be 15 inches

To learn more about the volume refer to the link;

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Answer:

5/12

Step-by-step explanation:

3 + 5 = 7

12/12 - 7/12 = 5/12

Answer:

total toffees=12

remaining toffees=12-(4+3)

=12-7

=5

fraction of toffees left

= 5/12

Answer

When a input uses two outputs, say we have

5,6

5,8

3,4

6,2

9,1

Notice how 5 uses two instead of one meaning the function is unfunctional

Step-by-step explanation:

Answer:

6

Range is calculated by substracting smallest value but highest value.

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Answer:

False

Step-by-step explanation:

probabilities are or are between 0 and 1

1 means complete certainty

toppr

Answer:

Area = length × width

72 = 9 × width

8 = width (9 × 8 = 72)

pertinter = length + width + length + width

= 9 + 8 + 9 + 8

perimeter = 34

Answer:

perimeter: 34 m

Step-by-step explanation:

width * length = area

perimeter:

The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.

Let suppose the width of the rectangle mosaic is w cm. Thus the length of it is,

[tex]l=w+2[/tex]

As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,

[tex]48=(w+2)\times w\\48=(w+2)w\\[/tex]

The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is

[tex]w(w + 2) = 48[/tex]

Learn more about the area of rectangle here;

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Answer:

B. w(w + 2) = 48

Step-by-step explanation:

I just took the quiz.

Have the day you deserve :)

Answer:

the answer will be 14

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer:

The mean is 14

Step-by-step explanation:

Mean = The sum of all Numbers Divided by the count of Numbers

In this case there are 5 numbers and adding them together = 69

69/5 = 13.8

Rounding up because it ends in above 5

= 14

I believe that x is equal to 6. x=6

Answer:

x ≥ -2

Step-by-step explanation:

6x-2 ≥ 4x-6

2x ≥ -4

x ≥ -2

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(I have verified this answer on an online calculator)

Answer:

119 is correct answer.

Step-by-step explanation:

angle GHI+90+151=360 (being complete turn angle)

angle GHI =360-119

angle GHI =119