Triangle F E D is cut by line segment H G. Line segment H G goes from side F D to side E D. The length of E G is 6 and the length of F H is 8. Lines E F and G H are parallel.

What is the length of Line segment G D?

GD =

Answer:

Area = 2x^3 - 6x^2 - 14x + 24

Step-by-step explanation:

h = x - 4

b = 2x^2 + 2x - 6

Area = b * h

Area = (x - 4)(2x^2 + 2x - 6)                           Multiply through by x

Area = 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24     Multiply through by -4

Area = 2x^3 + (2x^2 - 8x^2) - 6x - 8x + 24   Collect like terms.

Answer

Area = 2x^3 - 6x^2 - 14x + 24

Answer:

D

Step-by-step explanation:

TEST ON EDGE

Answer:

z = x-u/s

z = 2600 - 2020/456

z = 1.27

 = .897

1-.898 = .102

z > 1.27 = 10.2%

The percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.

The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.

Given that according to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456.

The percentage will be calculated as,

z = x-u/s

z = 2600 - (2020/456)

z = 1.27

The value of z=1.27 in the table is 0.897. The percentage will be calculated as,

P = 1-.898 = .102

z > 1.27 = 10.2%

Therefore, the percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.

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Answer:

Step-by-step explanation:

In the given rhombus, the value of x is 18.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Diagonal bisect the angles of a rhombus.

Hence, We can formulate;

⇒ (2x + 16)° = (3x - 2)°

Solve for x as;

⇒ 2x + 16 = 3x - 2

Subtract 2x both side,

⇒ 2x + 16 - 2x = 3x - 2 - 2x

⇒ 16 = x - 2

Add 2 both side,

⇒ 16 + 2 = x - 2 + 2

⇒ 18 = x

⇒ x = 18

Thus, The value of x in rhombus = 18

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Answer:

y = 32

Step-by-step explanation:

[tex]\frac{y}{2}+22=38\\\frac{y}{2}=16\\y=32[/tex]

Answer:

y=32

Step-by-step explanation:

y/2 + 22 =38

Subtract 22 from each side

y/2 + 22-22 =38-22

y/2 = 16

Multiply each side by 2

y/2 *2 =16*2

y = 32

Answer:

b=20 yards

Step-by-step explanation:

15^2+x^2=25^2

225+x^2=625

x^2=400

x=20

Answer:

x=20

Step-by-step explanation:

Answer:

m<F = 95°

Step-by-step explanation:

We'll begin by calculating the value of x. This can be obtained as follow:

m<C = 50

m<A = (10x – 5)

m<B = m<G = (2x + 15)

m<C + m<A + m<B = 180 (Sum of angles in a triangle)

50 + (10x – 5) + (2x + 15) = 180

50 + 10x – 5 + 2x + 15 = 180

50 – 5 + 15 + 10x + 2x = 180

60 + 12x = 180

Collect like terms

12x = 180 – 60

12x = 120

Divide both side by 12

x = 120 / 12

x = 10

Finally, we shall determine the value of m<F. This can be obtained as follow:

m<F = m<A

But

m<A = 10x – 5

x = 10

Therefore,

m<F = 10x – 5

m<F = 10(10) – 5

m<F = 100 – 5

m<F = 95°

Answer:

D) 3

Step-by-step explanation:

It is halfway the length of Y and W. 6-3= 3

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

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Answer:

The sample proportion of students who go to their locker at least 3 times each day is 0.403.

Step-by-step explanation:

Sample proportion of students who go to their locker at least 3 times each day.

The sample proportion of students who go to their locker at least 3 times each day is the number of students who do this divided by the size of the sample.

In this question:

137 go to their locker at least 3 times each day, sample of 340 students. So

137/340 = 0.403

The sample proportion of students who go to their locker at least 3 times each day is 0.403.

Answer:

Step-by-step explanation:

diameter = 18 inches

each leg = 18/√2 = 9√2 ≅ 12.7 inches

The length of the two legs of the isosceles triangle is 9√2.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

When a triangle is inscribed in a semicircle with one side being the diameter of the circle, a right triangle is always created.

Also, the radius of semicircle is 9 inches,

Since, the isosceles triangle inscribed in the semicircle.

Sides of an isosceles triangle are equal, therefore the corresponding angle will also equal.

The sum of all three angles of a triangle is 180°

x+x+90 = 180

2x = 90

x=45

radius of circle is 9 inches, therefore diameter of circle = 18 inches

Apply sin rule,

18/sin90 = x/sin45

18/1 = x/1/√2

x= 9√2

The length of the side of the isosceles triangle is 9√2.

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Answer: d

Step-by-step explanation:

fine ,it is a A ok,I am sorry for using rude words on you

Answer:

11

Step-by-step explanation:

44 / 11 = 4

33 / 11 = 3

7 strips

Answer:

11

Step-by-step explanation:

bro don't call urself that....

Answer:

150

Step-by-step explanation:

150 is greater than 100 and less than 1000.

150 can divide by 10.

The quotient of 150 is less than 100 but greater than 1.

Answer:

#1

Since half of the numbers are even, 2, 4, 6

#2

Multiple of 3 are 3 and 6:

#3

The numbers ≤ 4 are: 1, 2, 3, 4

#4

Prime numbers are 2, 3, 5

#5

Numbers > 1 are 2, 3, 4, 5, 6

#6

A four, there is one option

Answer: True

Step-by-step explanation:

The subjects of an experiment should be selected at random so that they

represent the population is true.

Once the sample size has been decided, a sample should be taken from the sample size which will represent the population. This gives everyone an equal chance of being selected as there's no bias.

Answer:

Total cost = $6.61

Step-by-step explanation:

Given the following data;

Cost of breaded chicken = $5.68/lb

Quantity of breaded chicken = ¼

Baked chicken = $6.92/lb

Quantity of baked chicken = ¾

To find the total cost;

First of all, we would determine the cost of breaded chicken and baked chicken.

Cost of breaded chicken = ¼ * 5.68

Cost of breaded chicken = $1.42

Cost of baked chicken = ¾ * 6.92

Cost of baked chicken = 20.76/4

Cost of baked chicken = $5.19

Total cost = Cost of breaded chicken + Cost of baked chicken

Total cost = 1.42 + 5.19

Total cost = $6.61

Answer:

30

Step-by-step explanation:

7 1/2 is 15/2 as an improper fraction

15/2 ÷ 1/4 = 15/2 · 4 which is 30

Answer:

30 doses

Step-by-step explanation:

convert 7 1/2 into an improper fraction: 15/2

multiply it by 2/2 to have a common denominator: 30/4

Answer:

[tex]{\text{C. }y=5x+29[/tex]

Step-by-step explanation:

The slope-intercept form of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept.

The slopes of parallel lines are always equal. Therefore, the slope of the equation we want to find will also be [tex]5[/tex]. The equation of the line must be true for any point it passes through. Thus, we can plug in the point [tex](-6,-1)[/tex] to solve:

[tex]y=mx+b,\\-1=5(-6)+b,\\-1=-30+b,\\b=29[/tex]

Thus, the equation of the line is [tex]\boxed{\text{C. }y=5x+29}[/tex]

Answer: C:800.B:1200.T:1600

Step-by-step explanation: If the ratio is proportional to the time spent on the marketing competition, then we can add the hours up: 4+6+8=18. Total amount divded by total hours -> 3600/18=200. So each hour worked is 200 dollars. Christine worked 4 hours, 4*200=800, Bianca worked 6 hours, 6*200=1,200, and Travis worked 8 hours, 8*200=1,600.

Answer:

The answer is "[tex](32.8318736, 29.1681264)[/tex]"

Step-by-step explanation:

When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:

[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]

Answer:

[tex]\displaystyle m = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (0, -2)

Point (5, 3)

Step 2: Find slope m

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

Answer:

$19.80

Step-by-step explanation:

If 1 pound of ham costs 7.92, multiply that by 2.5 (the amount she wants to buy) and get the total cost 19.8

Answer:

C) 14

Step-by-step explanation:

Both triangles are the same as far as angles, DEF is however half of ABC. Therefore x is half of 28

Answer:

A

Step-by-step explanation:

got it right on the test

In a directly proportional relationship, increasing one variable will increase another. The correct option is A.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

p∝q where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

Given that the capacity of a circular bowl varies directly with the cube of its diameter. Therefore, the relationship can be written as,

Volume of the bowl ∝ (Diameter of the bowl)³

V₁ ∝ (D)³

Now, if the diameter of the bowl is increased and made double. Then the volume of the bowl will be,

Volume ∝ (2 × Diameter)³

V₂ ∝ (2D)³

V₂ ∝ 8(D)³

V₂ ∝ 8 V₁

Thus, when the diameter is doubled then the capacity of the bowl changes to 8 times the initial.

Hence, the capacity is multiplied by 8.

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Answer:

Answer is attached in images

Step-by-step explanation:

Given:

x+z=1 and

[tex]z=4-x^{2} -y^{2}[/tex]

Now,

[tex]1-x=4-x^{2} 2-y^{2} 2\\x^{2} -x+y^{2} \\x^{2} -x+1/4+y^{2} =3\\(x-1/2)^{2} +y^{2} =3+1/4\\(x-1/2)^{2} +y^{2} =(\sqrt(13)/2)^{2}[/tex]

Which is circle with center (1/2,0) radius

[tex]\sqrt{13/2}[/tex] take, [tex]x=1/2+\sqrt{3} /2 cos\alpha \\y=\sqrt{13}/2 sin\alpha 0\leq \alpha \leq 2\pi[/tex]

Now,