DF and GI are parallel lines.

Which angles are alternate interior angles?

Answer:  12a^3b^4

Hope this helps

y=2/3x-2

Explanation:

The equation of a line can be written as y=mx+c

m=slope and c = y-intercept

The point at the x−intercept has coordinates (-3,0)

In y=mx+c

0=2/3(3)+c

0=2+c

-2=c

The equation is y=2/3x-2

Answer:

[tex] y = \frac{2}{3} x - 3[/tex]

Step-by-step explanation:

Slope (m) = 2/3

y-intercept (b) = - 3

Equation of line in slope intercept form is given as:

[tex] y = mx + b[/tex]

Plug the values of m and b in the above equation, we find:

[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]

Answer:

n is approximately 29 customers

Step-by-step explanation:

The given parameters are;

The mean duration of an order, μ = 4.5 minutes

The standard deviation, σ = 4

2 hours = 120 minutes

We get;

The z-score when the probability, P = 0.1 is P(z < 0.53983)

We have;

[tex]z = \dfrac{\dfrac{ \sum X_i}{n} - \mu_{\overline x}}{\dfrac{\sigma}{\sqrt{n} } }[/tex]

Therefore, we get;

[tex]z = \dfrac{\dfrac{120}{n} - 4.5}{\dfrac{4}{\sqrt{n} } } = 0.53983[/tex]

[tex]\dfrac{4}{\sqrt{n} } \times 0.53983 = \dfrac{120}{{n} } -4.5[/tex]

With the aid of a graphing calculator, we get;

81·n²-4320·n + 57600 - 18.6506514278·n = 0

Factorizing gives;

(n - 24.3011921023)·(n - 29.2623961869)·81124141329 = 0

Therefore;

n ≈ 24 or n ≈ 29

Therefore, we take the largest number, n ≈ 29, to make the sample approximately normal

Use proportionals to find y.

[tex] \frac{9}{18} = \frac{6}{y} [/tex]

Answer:y=12

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price=  $47,000  

Salvage value= $2,900  

Useful life= 5 years

To calculate the annual depreciation, we need to use the following formula:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (47,000 - 2,900) / 5= $8,820

The accumulated depreciation is calculated as follow:

Accumulated depreciation= years of depreciation*annual depreciation

For year 4:

Accumulated depreciation= 8,820*4= $35,280

Finally, the book value is:

Book value= purchase price - accumulated depreciation

Year Annual depreciation Accumulated depreciation Book value

1                 8820                                8820                  38180

2                 8820                                17640                  29360

3                 8820                                26460                  20540

4                 8820                                      35280                 11720

5                 8820                                 44100                    2900

Answer:

10

Step-by-step explanation:

10-8=2 being smaller or equal to 2.

Answer:

list

tan (A)=

A=

25=

22=

B=

Step-by-step explanation:

Answer:

Cartesian Coordinate System

• Also called

rectangular coordinate

system

• x- and y- axes intersect

at the origin

• Points are labeled (x,y)

Polar Coordinate System

– Origin and reference

line are noted

– Point is distance r from

the origin in the

direction of angle θ,

ccw from reference

line

– Points are labeled (r,θ)

Cartesian to Polar Coordinates

• r is the hypotenuse and θ

an angle

θ must be ccw from

positive x axis for these

equations to be vali

Step-by-step explanation:

9514 1404 393

Answer:

  z = -7

Step-by-step explanation:

The equations will be true for all real integers when they are a dependent set. That will be the case when the second equation is a multiple of the first.

Already, we observe that the ratios of x- and y-coefficients are -4:

  -12/3 = -4

  8/-2 = -4

The equations will be dependent when the constants have that same ratio:

  8z/14 = -4 . . . . desired ratio

  8z = -56 . . . . . multiply by 14

  z = -7 . . . . makes the equations true for all real numbers

_____

Comment on the question

The system of equations can be made inconsistent (no solutions) or consistent & dependent (infinite solutions) by the choice of z.

However, integer solutions are limited to pairs of the form (2n+2, 3n-4) for integer values of n. The values of x and y are not "all real integers".

Consequently, we have interpreted the question to be asking for the value of z that will make the system of equations have an infinite number of solutions, including both rational and irrational, real and complex values of x and y. They cannot be made to be true for "all real integers" by any choice of z.

Answer:

Step-by-step explanation:

Answer:

95% confidence interval for the proportion of blocks that are sufficiently strong

(0.83913 , 1.02293)

Step-by-step explanation:

Step:-1

Given that the sample size 'n' = 29 blocks

Estimate proportion

                       [tex]p = \frac{x}{n} = \frac{27}{29} = 0.93103[/tex]

Step:-2

95% confidence interval for the proportion of blocks that are sufficiently strong

[tex](p^{-} -Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]

[tex](0.93103 -1.96 \sqrt{\frac{0.93103(1-0.93103)}{29} } , 0.93103 + 1.96 \sqrt{\frac{0.93103(1-0.93103)}{29} } )[/tex]

(0.93103 -  0.0919 , 0.93103 +0.0919)

(0.83913 , 1.02293)

Final answer:-

95% confidence interval for the proportion of blocks that are sufficiently strong

(0.83913 , 1.02293)

Answer is 128 cubic inches

The volume of the given box is 64 inch³

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The length, width, and height of a rectangular box are multiplied to get its volume.

As a result, the following formula may be used to determine the volume of an 8 inches by 4 inches by 2 inches rectangular box:

Volume is calculated using the formula LWH.

Volume is =8 * 4 * 2 inches.

64 cubic inches is the volume.

The rectangular box measures 8 by 4 by 2 inches and thus has a volume of 64 cubic inches.

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Answer:

922

Step-by-step explanation:

(5x22)x2=220

(13x5)x2=130

(22x13)x2=572

220+130+572=922

Answer:

Length (l) = 22 ft

Breadth (b) = 13 ft

Height (h) = 5 ft

Surface Area of a cuboid

[tex] = 2(lb + bh + lh)[/tex]

[tex] = 2(22 \times 13 + 13 \times 5 + 5 \times 22) \\ = 2(286 + 65 + 110) \\ = 2(461) \\ = 2 \times 461 \\ = 922 \: ft ^{3} [/tex]

=> Surface area of the cuboid will be 922 ft³.

Answer:

arc a = 64°

arc b = 112°

Step-by-step explanation:

inscribed angles = 1/2 their arc

arc of 102° = 204° arc

arc a = 204° - 140° = 64°

arc of 92° = 184°

arc b = 360° - 184° - 64° = 112°

Answer:

Linear speed =ωr=2π/86400×3960=11π/120 miles/s.

Step-by-step explanation:

The linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.

It is given that radius of equator of earth is 3960 miles.

We have to find the linear and angular speeds.

What do you mean by the linear speed ?

The linear speed of a point on the object is equal to the angular speed (ω) multiplied by the distance r.

As per the question ;

radius of equator of earth = 3960 miles

The linear speed will be ;

s = rθ / t

We know that ; at any point of equator would complete 360° or 2π radians revolutions every 24 hours.

So ;

s = (3960 miles × 2π) / 24 hour

s = 330π miles / hour

s ≅ 1036.73 miles / hour

And

The angular speed will be ;

ω = s / r

ω = 1036.73 / 3960 minutes

ω = 0.26 radian/hour

Thus , the linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.

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Answer: Where is the square?

Step-by-step explanation:

Answer:

7(2x+ 6y)​ = 14x + 42y

Step-by-step explanation:

give brainllest plz

Answer:

The perimeter is 99

Step-by-step explanation:

you do 11x9=99

Answer:

Step-by-step explanation:

D beause less then 5 that means it gose down the grid

Answer:

Best anwser to use is Mode. Where you have the most

Step-by-step explanation:

The correct answer is A. 0.84

The value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We know,

[tex]\rm Z = \dfrac{X-\mu}{SD}[/tex]

X = 53, μ = 50, and SD = 3

[tex]\rm Z = \dfrac{53-50}{3}[/tex]

Z = 1

From the Z table.

The value of P(X<53) = 0.84

Thus, the value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.

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you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.

sorry if that's confusing or wordy! hope it helps!

Answer:

X= 110/7 or 15.7 or rounded to 16

Answer:

x=15.714285

Step-by-step explanation:

-0.35x=-3-2.5

-0.35x=-5.5

-0.35/-0.35= -5.5/0.35

X=-5.5/-0.35

X=15.714285

Answer: C and D

Step-by-step explanation:I just did it my bad for the late response.

Answer:

$28.50

Step-by-step explanation:

$38.00 x 0.75 = $28.50

Answer:

64,120 written as 6.412 x 10^4 in scientific notation

9514 1404 393

Answer:

  r = ±√47

Step-by-step explanation:

  -7r^2 = -329 . . . . given

  r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)

  r = ±√47 . . . .  square root both sides (square root property of equality)

Answer:

This is what I got.

Step-by-step explanation:

Answer:

1200

Step-by-step explanation:

3/4 of 200 = 150

150 is 1/8 of 1200

Answer:

1200

Step-by-step explanation:

3/4 of 200 is 150

is 150 is 1/8 of her number then multiply 150 by 8 and you get her number.