In the accompanying diagram of AABC, DE is parallel to BC. If AD = 3, DB = 6, and DE = 5, what is the length of BC?

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question and the graph in the attached file.

[tex]\to \frac{12}{l}= \frac{5.5}{l-x}\\\\\to 12(l - x) = 5.5l\\\\\to 12l - 12x = 5.5l\\\\\to 12l -5.5l = 12x\\\\\to 6.5l =12x\\\\\to 12x = 6.5l \\\\\to x = ( \frac{6.5}{12})l \\\\[/tex]

Calculating the Derivative of the above value:

[tex]\to \frac{dx}{dt} = (\frac{6.5}{12}) \frac{dl}{dt}\\\\\to \frac{dl}{dt} = (\frac{12}{6.5}) \frac{dx}{dt}\\\\\to \frac{dx}{dt} = 2 \\\\ \to \frac{dl}{dt} = ( \frac{12}{6.5} \times 2)[/tex]

        [tex]=\frac{24}{6.5} \\\\= \frac{48}{13} \ \frac{ft}{sec}[/tex]

by subtracting the rate of the shade from that of the man:

[tex]\to \frac{48}{13} - 2 \\\\ \to \frac{48-26}{13} \\\\ \to \frac{22}{13} \ \frac{ft}{sec}[/tex]

Answer:

C (x-8)(x-5)

Step-by-step explanation:

(5-8) = -3

(5-5) = 0

-3 x 0 = 0

Answer:

67

Step-by-step explanation:

Since the diagonals in a rectangle are congruent, AC=BD and

7x+18=10x-3

We need to separate x -- to do that, we can first subtract 7x from both sides, resulting in

18=3x-3

Next, add 3 to both sides to get

21=3x

Divide both sides by 3 to get

x=7

Then, we just plug x into 10x-3 to get BD = 7*10-3 = 67

Answer: (x - 5)(x + 4)

Answer:

(x+5)(x+4)

Step-by-step explanation:

Answer:

2, 4 the domain

5, 4 the range

Answer:

C.-85

Step-by-step explanation:

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The nth term of an arithmetic sequence.

= a + (n - 1)d

The 61st term of the sequence is 85.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

-5, -7/2, -2, -1/2, 1

a = -5

d = -7/2 + 5

d = 3/2

Now,

The nth term of an arithmetic sequence.

= a + (n - 1)d

Now,

n = 61

61st term:

=  -5 + (61 - 1)(3/2)

= -5 + 60 x 3/2

= -5 + 30 x 3

= -5 + 90

= 85

Thus,

The 61st term of the sequence is 85.

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Answer:

B. 5

Step-by-step explanation:

Computation for Which of the following is the resulting MAD value that can be computed from this data

Using this formula

MAD Value=[(Actual unit demand-Respective forecasts)/Number of years]

Let plug in the formula

MAD Value = [(124 - 120) + (126 - 120) + (135 - 130)]/3 years

MAD Value =(4+6+5)/3 years

MAD Value = 15/3 years

MAD Value = 5

Therefore the MAD value that can be computed from this data is 5

Answer:

Where is the graph?

Step-by-step explanation:

Answer:

b is correct

Step-by-step explanation:

Answer:

B: 5 games at bowling alley C

Step-by-step explanation:

The number of hours taken should be 8.5 hours

And, the distance should be 187 km.

d = 18t + 34

d = 22t

Put the d value in the above equation

22t = 18t + 34

22t - 18t = 34

4t = 34

t = 8.5 hours

Now the distance is

= 22(8.5)

= 187 km

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Answer:

(6x+10)°=(6x+10)°[vertically opposite angle]

now,

6x+10+10x+10=180°[being cointerior angle]

16x=180-20

x=160%16

x=10°

Answer:

B

Step-by-step explanation:

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

d  = distance

(x1, y1) = coordinates of the first point

(x2, y2) = coordinates of the second point

Answer:

Solution in photo

Step-by-step explanation:

Answer:

alternate interior angle

Step-by-step explanation:

Based on the systems of equations given, the number of real solutions for each system is:

To find out the number of solutions, you should plot the equations on a graph.

When system A is plotted as shown attached, you notice that line y = 1/2x intersects x² + y² = 17 twice. It therefore has two solutions.

When system B is plotted, y = -6x + 5 does not intercept y = x² + 7x + 10 which means that there are no real solutions.

System C shows only one real solution because 8x - y = -17 intercepts y = -2x² + 9 once.

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Answer:

[tex]m=\frac{7}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 7)

Point (-3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

86°

Step-by-step explanation:

Given:

 A = (6x + 10)°

 B  =  (4x +30)°

Two angles are supplementary if they sum up to 180° ;

 A + B  = 180°  

 Now insert the parameters and solve;

  6x + 10 + 4x +30 = 180

      10x + 40  = 180

       10x  = 140

           x = 14

So;

    B  =  (4x +30)°  = 4(14) + 30  = 86°

Answer:

x>5/2

Step-by-step explanation:

Answer:

After 14 years, the area will be 2342.4 km squared.

Step-by-step explanation:

Since the area is decreasing, we can use the decaying exponential function

[tex]y = A(1 - r)^{t}[/tex]

where

Given

Initial Area A = 4000 km squared

Rate r = 3.75% = 3.75/100 = 0.0375

Time period t = 14

To Determine

The Area after 14 years = y = ?

Plug in the values in the formula

[tex]y = A(1 - r)^{t}[/tex]

[tex]y\:=4000\left(1\:-\:0.0375\right)^{14}[/tex]

[tex]y=4000\cdot \:0.9625^{14}[/tex]

[tex]y=2342.4[/tex] km squared

Therefore, after 14 years, the area will be 2342.4 km squared.

Answer:

the probability is 0.6293

Step-by-step explanation:

The computation of the probability is shown below:

Given that

n = 5

P = 0.18

As it represents the  binomial distribution

P(X = x) =  [tex]^NC_x[/tex]× p^x × (1 - p) ^(n - x)

P(X > 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ( [tex]^5C_0[/tex]× (0.18) ^0 × (0.82) ^5)

= 1 - 0.3707

= 0.6293

hence, the probability is 0.6293

Answer/Step-by-step explanation:

Given that ∆GHJ is congruent to ∆XYZ, this:

<G = <X,

<H = <Y = 38°

<J = <Z,

GH = XY = 27 ft

HJ = YZ = 27 ft (two sides of an isosceles ∆ are the same)

GJ = XZ = 18 ft

a. GJ = 18 ft

b. XY = 27 ft

c. ZY = 27 ft

d. m<H = m<Y (corresponding angles)

m<H = 38° (substitution)

e. m<Z = (180 - 38)/2 (base triangles of an isosceles ∆ are equal)

m<Z = 142/2

m<Z = 71°

f. m<J = m<Z (corresponding angles)

m<J = 71° (substitution)

Answer:

14 pink balls

Step-by-step explanation:

you would devide 21 by 3 and that would be 7, then you multiply by 2 and you get 14.

Answer:

The answer is A

Step-by-step explanation:

If you look at the bottom it is near -6 so if you reflect it it would be at 6 but it was 2 units down at 4

Answer:

its the last one

Step-by-step explanation:

the shape is across the x axis so you don't do 2 or 3 then you do it and it is 2 units different not 1 so it is the last one

The answer is -3/-1/2

Tap on a clip to paste it in the text box.

Step-by-step explanation:

a) Jan = 252.20

Feb = 88

Mar = -198.10

Apr = -836.90

b) 173.70

I got the mean by adding all the totals together and dividing it by 4 bcors there's 4 months.

Answer:

15x-8x-5x=48

3x=48

or X=16

4=4y+2y

or 4= 6y

or 4/6=y

or y=2/3

4-5x= 3x

or 4=5x+3x

or 4=8x

or 4/8=X

or X=2

2x=2x-5+8

or,2x= 2x-13

or 2x+2x=13

or 4x=13

or X= 13/4

or X =3.25

4y=4y+9-9

or 4y=4y+0

or 4y-4y=0

or 0=0

Answer:

idek

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Roughly 11 to 11 and 1/2 hours

Step-by-step explanation:

Roughly 11 to 11 and 1/2 hours.

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Answer:

it would take 28 hours

Step-by-step explanation: