Identify three segments parallel to AE using the figure shown. Assume lines and planes that appear to be parallel or perpendicular are parallel or perpendicular, respectively

Identify Three Segments Parallel To AE Using The Figure Shown. Assume Lines And Planes That Appear To

Answers

Answer 1

From the figure, the lines parallel to AE are DH, CG, and EF.

What are parallel and perpendicular lines?

Geometry is heavily reliant on parallel and perpendicular lines, and they can be easily distinguished thanks to a few unique qualities. If two lines never cross each other, are in the same plane, and are at the same distance from one another, then they are said to be parallel. Perpendicular lines are those that cross at an angle of 90 degrees.

If two straight lines are in the same plane and never intersect, they are said to be parallel lines.

So from the figure, we can see that the lines parallel to AE are DH, CG, and EF, as the lines are in the same plane.

As equidistant lines, they are always the same distance apart.

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Related Questions

The half-life of a radioactive kind of americium is 7,380 years. How much will be left after
22,140 years, if you start with 188,320 grams of it?
grams

Answers

22140/7380 = 3 half lives

So it divides itself 3 times.

188320 / 2 = 94160

94160 / 2 = 47080

47080 / 2 = 23540

Answer = 23540 grams

(I think!)

Heeelllllllllllp Simplify the expression completely.
√144 +18 √12-5√64

Answers

Answer:

A

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{12}[/tex]

= [tex]\sqrt{4(3)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]

= 2[tex]\sqrt{3}[/tex]

Then

[tex]\sqrt{144}[/tex] + 18[tex]\sqrt{12}[/tex] - 5[tex]\sqrt{64}[/tex]

= 12 + 18(2[tex]\sqrt{3}[/tex] ) - 5(8)

= 12 + 36[tex]\sqrt{3}[/tex] - 40

= - 28 + 36[tex]\sqrt{3}[/tex]

what 5x5(45x5)x3(56x34)

Answers

if that’s all multiplication and not X then the answer would be 32130000 i think

Answer: 32130000

Step-by-step explanation:

Multiply all of your numbers


Find a description this equation represents. Of the numbers 1, 2, 3, 4, and 5, which are solutions to the equation?

4x+6=18

A. If you add four to six times a number, you get 18.

B. Four more than six times a number is 18.

C. If you add six to four times a number, you get 18.

D. Six more than four times a number is 18.

E. Six less than four times a number is 18.

F. Four less than six times a number is 18.

G. If you add six times a number to four, you get 18.

H. If you subtract six from four times a number, you get 18.

Answers

The answer is D because it’s stating that if you add 6 more to a number that’s multiplied by four you get 18 which is also what the expression is.

help meeeeeeeeeeeeeeeeee please

Answers

Answer: 81

Step-by-step explanation:

[tex]v=\sqrt{2gh}\\\\g=32, v=72\\\\\implies 72=\sqrt{2(32)h}\\\\5184=64h\\\\h=81[/tex]

Nigel is selling candy bars for his outdoor club. He is averaging 4 bars every 3 days. If he continues at this rate, how many days will it take to sell his box of 35? Answer in whole number form and round up to the next whole number.

Answers

The number of days that it will take to sell his box of 35 is 21 days.

What is a ratio?

Ratio simply demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, Nigel is selling candy bars for his outdoor club and he is averaging 4 bars every 3 days.

Let the number of days be x.

This will be:

3/x = 4/35

Cross multiply

4x = 3 × 35

x = (3 × 35)/4

x = 105 / 4

x = 21

It will take 21 days

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What is the remainder of the following division problem?

x StartLongDivisionSymbol x + 1 EndLongDivisionSymbol. minus x to get a remainder of 0 + 1 and a quotient of 1.
x
1
0
–1

Answers

The remainder of the long division problem (x + 1)/x is given as follows:

1.

What is a long division?

The representation of a long division problem is given as follows:

di(x)/d(x) = q(x) + (r(x)/b(x))

In which the meaning of each symbol is listed as follows:

di(x) is the dividend of the division operation.d(x) is the divisor of the division operation.q(x) is the quotient of the division operation.r(x) is the remainder of the division operation.

In the context of this problem, the operation is presented as follows:

(x + 1)/x.

This division can be separated into two divisions that are added, hence:

(x + 1)/x = x/x + 1/x = 1 + 1/x.

Comparing to the standard symbols, we have that:

The quotient of the division operation is of 1.The remainder of the division operation is of 1.

Missing information

The expression is:

(x + 1)/x.

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Answer:

B 1

Step-by-step explanation:


20 4/0 - 3 1/10
Give answer as mixed number

Answers

The solution to the difference 20 4/10 - 3 1/10 is 17 3/10

We have been given two fractions.

20 4/10 and 3 1/10

We need to find the difference 20 4/10 - 3 1/10

First we write improper fraction as a proper fraction.

20 4/10 = 204/10

3 1/10 = 31/10

So, the difference would be,

20 4/10 - 3 1/10

= 204/10 - 31/10

= 173/10

= 17 3/10

Therefore, the solution to the difference 20 4/10 - 3 1/10 is 17 3/10

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3. Another bank offers 1.9% annual simple interest for deposits of $10,000 or more. Carter opened an account at this bank with an initial deposit of $12,000. Ruth opened a Deluxe Savings account that same day. If they have both earned the same amount in interest after one year, what was the amount of Ruth's initial deposit?​

Answers

Ruth must have an initial deposit of $12000 in order to have the same simple interest at the same rate within the same time as Carter

Simple Interest

Simple Interest (S.I) is the method of calculating the interest amount for some principal amount of money. Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

The formula of simple interest is given as

S.I = PRT

p = principal amountr = ratet = time

We can set up equivalent equations since both interest are equal.

S.I = P(1 + RT)

S.I = 12000(1 + 0.019 * 1)

S.I = 12228

But since they earned the same interest at the same rate within the same period, their principal or initial amount invested must be equal

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a flagpole has a height of 15 yards it will be supported by 3 cables edach of which is attached to the flagpole at a point 3 yards below the top of the pole and attached to the ground at a point that is 9 yards from the base of the pole find the total number of yards of cable that will be required

Answers

There are 45 yards of cable that will be required.

Let us find the total number of yards of cable that will be required.

Since we have given that

Height of cable = 15 yards - 3 yards = 12 yards

Distance from pole = 9 yards

cable is the hypotenuse of the right-angled triangle.

So, it becomes,

[tex]c^{2} = b^{2}+p^{2}[/tex]

[tex]c^{2} = 12^{2}+9^{2}[/tex]

[tex]c^{2} = 144+81[/tex]

[tex]c^{2} = 225[/tex]

[tex]c = \sqrt{225}[/tex]

c=15 yards

Since the number of cables supported = 3

So, the number of yards of cable that will be required would be

= 3  x 15 = 45

Hence, there are 45 yards of cable will be required.

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What is the simplest positive form of
-35(mod 6)?

Answers

The answer would be -210dmo

Select all equations that are equivalent to
(6x + 2)
3
-=2(3x +14)
(Select all that apply.)
(6x + 2)
3
(6x + 2) = 2 (3x+14)
2x+3=2-(3x +14)
=-3x-12
6x + 2 = -9x-36
(6x + 2)
3
= -3x+16

Answers

Using simplification, the equations that are equivalent to [tex]\frac{(6x+2)}{3} =2-(3x+14)[/tex] are [tex]\frac{(6x+2)}{3 } = -3x-12[/tex] and 6x + 2 = -9x - 36

What are equivalent equation?

Two systems of equations are equivalent if they have the same solution(s)

In a simpler term, two equations are equivalent if they have the same solution.

Therefore, let's simplify the equation to find the equivalent solutions.

[tex]\frac{(6x+2)}{3} =2-(3x+14)[/tex]

let's open the brackets of the right side of the equation.

[tex]\frac{(6x+2)}{3}=2-(3x+14)[/tex]

[tex]\frac{(6x+2)}{3} = 2-3x-14[/tex]

[tex]\frac{(6x+2)}{3 } = -3x-12[/tex]

Therefore, let's cross multiply

6x + 2 = 3(-3x - 12)

6x + 2 = -9x - 36

Therefore, the equivalent equation are as follows:

[tex]\frac{(6x+2)}{3 } = -3x-12[/tex]6x + 2 = -9x - 36

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guys i seriously need help with this one








Answers

The option(1) that is  g(1) is 3 is True and remaining are false.

Explain the function by its graph?

Function of a variable is when a change in one is accompanied by a change in the other. The graph's x-axis denotes the function's domain, and the y-axis its range.

What kinds of functions can you find on a graph?

Eight distinct types of regularly used functions correspond to eight distinct types of function graphs. They include linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal function graphs.

According to given data in the question:

we have,

g(x) = f(x - 3)

The value of g(1) is 3

As graph in question,

g(1) = f(1-3) = f(-2) = 3

This option is true.

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how to find 3 to the power of x equals 2187?
i need a step by step detail on how to solve it.

Answers

Answer: [tex]x=7[/tex]

Step-by-step explanation:

[tex]3^x=2187\\\\x=\log_{3} (2187)\\\\x=7[/tex]

a toy manufacturer inspects boxes of toys before shipment. each box contains 17 toys. the inspection procedure consists of randomly selecting three toys from the box. if one or more of the toys are defective, the box is not shipped. suppose that a given box has two defective toys. what is the probability that it will be shipped? a) 0.1765 b) 0.6691 c) 0.3309 d) 0.0221 e) 0.4341 f) none of the above.

Answers

The probability that it toys will be shipped is option b ) 0.6691 .

Hypergeometric Distribution will be used

P ( X = x ) = h ( x , N , n , k ) = [tex]C_{k,x}[/tex][tex]C_{N-k,n-x}[/tex] / [tex]C_{N,n}[/tex]

[tex]C_{n,x}[/tex] = n! / [ x! ( n - x ) !

According to question,

N = 17

k = 2

n = 3

To find : P ( X = 0 ) ,

P ( X = 0 ) = h ( 0 , 17 , 3 , 2 )

                = [tex]C_{2,0} C_{15,3} / C_{17,3}[/tex]

                 = 455 / 680

         = 0.6691

So there is 66.91 % probability that toys will be shipped .

Hence , option b ) 0.6691 is the correct answer .

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coppinger corp. is considering the use of a computer to assign probability distributions to the input variables used in the analysis. the computer would then randomly select input variables from their distributions and calculate npvs based on those selections. what kind of analysis is this? sensitivity analysis simulation analysis scenario analysis

Answers

Coppinger Corp is using Scenario Analysis.

Given, that Coppinger Corp is considering the use of a computer to assign probability distributions to the input variables used in the analysis.

The computer would then randomly select input variables from their distributions and calculate npvs based on those selections

Now, A scenario analysis consists of multiple inputs. For eg. a Company may consider how an increase in available fuel can impact their number of goods sold etc.

Here, also Coppinger Corp is assigning multiple values to the computer and getting outputs.

So, this can be the Scenario Analysis.

Hence, Coppinger Corp is using Scenario Analysis.

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79 ala decena mas cercana

Answers

Answer:

80

Step-by-step explanation:

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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The equation of the parabola that similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5

The equation of the parabola

f(x) = [tex]7x^2[/tex]

The standard vertex form of a parabola is

y = [tex]a(x-h)^2[/tex] + k

The coordinates of the vertex of a parabola = (3, 5)

Where (h, k)  is the coordinates

From the given function of the parabola f(x) =  [tex]7x^2[/tex]

The value of a = 7

Substitute the values in the vertex form of a parabola

y = [tex]7(x-3)^2[/tex] + 5

Hence, the equation of the parabola that is similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5

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The height, in feet, of a flying disc after t seconds is modeled by the equation h(t)=−4.5t^2+19.6t+3. What does the 3 in the equation represent?

Answers

The 3 in the equation is the starting point

Function given:

h(t) = −4.5t2 + 19.6t + 3

At t =0 we get h(0) = 3. This is called the y-intercept

It is the start point indicating the disc was thrown at 3 feet of height.

Using the common convention in geometry the horizontal axis in a graph in represented by the x-axis and the vertical axis in a graph is represented by the y-axis. The intercepts are the points on the graph at which the graph crosses the two axes. The point where the graph is drawn crosses the horizontal axis is called the x-intercept or the x-axis, and when the graph crosses the vertical axis is called as the y-intercept or the y-axis.

I hope this answer helps.

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the prices of used car tires is a normally distributed variable with a mean of $50 and variance of $100. what is the probability that the price of a used car tire will be less than $65?

Answers

The probability that the price of the used car is less than $65 is 0.55962.

Here it is given that the price of the used car has a mean of $50 and a variance of $100.

Since it follows normal distribution X~N(μ, σ²)

where,

μ = 50

σ = 100

Here we need to find the probability P(X < 65)
To find this we need to convert the distribution to the standard normal form, N~(0, 1)

We know,

P(X < (x - μ)/ σ) = Φ(Z)

Therefore we get

P(X < (65 - 50)/ 100)

Solving this we get the Z value

= Φ(0.15)

From the Z table, we can get our p-value.

= 0.55962

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which of the following statements is false? group of answer choices older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative. older children tend to be taller than younger children, so the correlation between age and height in children must be positive. a researcher finds that the correlation between two variables is close to 0, so the two variables must be unrelated. taller people tend to be heavier than shorter people, so the correlation between height and weight must be positive.

Answers

The correct statement would be older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative.

Increased time studying sets of tea time is associated with higher G. P.A. (Grade point average) This is positive. More time studying G. P. A. Life expectancy increases as body weight decreases. As the weight goes down the life expectancy goes up.

Muscle Density:

Muscle mass (quantity) is highly correlated with survival in hospitalized patients with advanced cancer, whereas muscle density (quality) is associated with patients’ symptoms, health care use, and survival, according to a group of researchers

Correlation:

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics it usually refers to the degree to which a pair of variables are linearly related. Familiar examples of dependent phenomena include the correlation between the height of parents and their offspring, and the correlation between the price of a good and the quantity the consumers are willing to purchase, as it is depicted in the so-called demand curve.

Your body shape changes naturally as you age. You cannot avoid some of these changes, but your lifestyle choices may slow or speed the process.

The human body is made up of fat, lean tissue (muscles and organs), bones, and water. After age 30, people tend to lose lean tissue. Your muscles, liver, kidney, and other organs may lose some of their cells. This process of muscle loss is called atrophy. Bones may lose some of their minerals and become less dense (a condition called osteopenia in the early stages and osteoporosis in the later stages). Tissue loss reduces the amount of water in your

The amount of body fat goes up steadily after age 30. Older people may have almost one third more fat compared to when they were younger. Fat tissue builds up toward the center of the body, including around the internal organs. However, the layer of fat under the skin gets smaller.

The tendency to become shorter occurs among all races and both sexes. Height loss is related to aging changes in the bones, muscles, and joints. People typically lose almost one-half inch (about 1 centimeter) every 10 years after age 40. Height loss is even more rapid after age 70. You may lose a total of 1 to 3 inches (2.5 to 7.5 centimeters) in height as you age. You can help prevent height loss by following a healthy diet, staying physically active, and preventing and treating bone loss.

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Four different linear functions are shown below. Drag the representation of each function in order from greatest y intercept ti least y intercept

Answers

Order of greatest y intercept to least y intercept,

1). A linear function has been given as,

   y = [tex]\frac{1}{2}[/tex]x + 4

   Y intercept = 4

2). The graph,

    Y intercept = (2)

3). Graph represented by table

    Y intercept = 1

4). A line passes through two points (-2, -3) and (4, 0)

    Y intercept = -2

What is Y- intercept?

It is the total distance from the origin and the intersection of y axis and the formed line. It may be positive, negative or zero.

  From the graph,

    y-intercept = (2)

A line passes through two points (-2, -3) and (4, 0),

Slope of the line = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                           = [tex]\frac{0-(-3)}{4-(-2)}[/tex]

                           = 1/2

Equation of a line passing through a point (x', y') and slope = m

y - y' = m(x - x')

If the point is (4, 0) and slope = 1/2

y - 0 = 1/2 ( x - 4 )

y = 1/2x - 2

y-intercept of this line = (-2)

A linear function has been given as,

y = [tex]\frac{1}{2}[/tex]x + 4

Comparing it with the slope intercept equation,

y = mx + b

b = y-intercept = 4

From the given table,

For x = 0, f(x) = 1

Therefore, y-intercept = 1

Order of greatest y intercept to least y intercept,

1). A linear function has been given as,

   y = [tex]\frac{1}{2}[/tex]x + 4

Y intercept = 4

2). The graph,

Y intercept = (2)

3). Graph represented by table

Y intercept = 1

4). A line passes through two points (-2, -3) and (4, 0)

Y intercept = -2

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Which histogram shows a left-skewed distribution? A. A bar chart plots data points (1, 1), (2, 4), (3, 1), (4, 2), (5, 3), (6, 4) and (7, 3). B. A bar chart plots data points (1, 1), (2, 2), (3, 3), (4, 4), (5, 3), (6, 2) and (7, 1 point 5). C. A bar chart plots data points (1, 3), (2, 4), (3, 2), (4, 2), (5, 1), (6, 1) and (7, 1). D. A bar chart plots data points (1, 4), (2, 2), (3, 4), (4, 3), (5, 1), (6, 1) and (7, 2).

Answers

The histogram that shows a left-skewed distribution is given by:

A. A bar chart plots data points (1, 1), (2, 4), (3, 1), (4, 2), (5, 3), (6, 4) and (7, 3).

What is an histogram?

An histogram is a graph that shows the number of times each element x was observed on the data-set.

Hence, the meaning of a point (x,y) on the histogram is given as follows:

Observation x was observed y times on the data-set.

The skewness of a distribution can be explained as follows:

Left-skewed: The higher values are the ones that are observed the most in the data-set.Symmetric: The middle values are the ones that are observed the most in the data-set.Right-skewed: The lower values are the ones that are observed the most in the data-set.

Hence in this problem, for the left-skewed histogram, we want an "increasing" histogram, hence option A is correct.

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What are the solutions of the quadratic equation?


`2x^{2}+12x+18=0`
show work

Answers

The solutions for the quadratic equation:

2x^2 + 12x + 18 = 0

are:

x₋ =  -5.55

x₊  = -0.4

How to solve the quadratic equation?

Remember that for a general quadratic equation:

a*x^2 +b*x + c = 0

The solutions are of the form:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]

Here we have the quadratic:

2x^2 + 12x + 18 = 0

Then using the formula for the solutions we will get:

[tex]x = \frac{-12 \pm \sqrt{12^2 - 4*2*18} }{2*2} \\\\x = \frac{-12 \pm 10.2}{4}[/tex]

The two solutions of the quadratic equation are:

x₋ = (-12 - 10.2)/4 =  -5.55

x₊ = (-12 + 10.2)/4 = -0.4

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Given:-16=m-18;Prove:m=10

Answers

Answer:

m=2

Step-by-step explanation:

-16=m-18

-16+18=m

2=m

help meeeeeeeeeeeeeee pleaseee

Answers

Answer:

Vertex: (2, -1)

Axis of Symmetry: x=2

Parabola: Downwards

Step-by-step explanation:

(b) Write down the value of 12⁰
(c) Write down the value of 3-²

Answers

Answer:

b) 1 c) 0.1

Step-by-step explanation:

b) The value of 12⁰ will be?

→ 12⁰ = ?

→ 12⁰ = 1

Hence, the solution is 1.

c) The value of (3)^(-2) will be?

→ (3)^(-2) = ?

→ (3)^(-2) = 0.1

Hence, the solution is 0.1.

the simple interest formula is i = prt where i = the interest p=the principal r is the annual interest rate in the decimal form and t is the time in years. find the simple interest earned for a principal of 2,000 at an 8% interest the ate for 5 years.

Answers

The simple interest earned on a 2,000 principal at 8% interest for 5 years is I = $1,937.50.

What is meant by simple interest formula?Simple interest is calculated by multiplying the daily interest rate by the principal and the number of days between payments. Customers who pay their loans on time or early each month save money on interest.Interest-only loans are prevalent for short-term personal loans and car loans. Simply multiply the principal amount by the interest rate and the time to determine simple interest.The written formula is "Simple Interest = Principal x Interest Rate x Time." Simple interest is calculated on the loan principal or the first deposit into a savings account.Due to the fact that simple interest does not compound, a creditor will only pay interest on the principal amount, and a borrower will never be required to pay interest on previously accumulated interest.

Therefore,

I = Prt

First, converting R percent to r a decimal

r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

I = $ 1,937.50

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

for 5 years is $ 1,937.50.

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The dimensions of a rectangular garden are 15 yards by 20 yards. A sidewalk, one yard wide, is to be built around the outside of the garden. What will be the area of the sidewalk?​

Answers

Answer:

74 square yards

Step-by-step explanation:

Area of two-dimensional shapes:

Area of rectangular garden:

                 l = 20 yds

                 w = 15 yds

     Area of the rectangular garden = l *w

                                                          = 20 * 15

                                                          = 300 square yards.

Area of the outer rectangle (rectangular garden and the sidewalk):

             length = 20 + 1 + 1 = 22 yds

            width   = 15 + 1 + 1  = 17 yds

       Area of outer rectangle = 22 * 17

                                               = 374 square yards

To find the area of the sidewalk, subtract the area of rectangular garden from the outer rectangle.

Area of the sidewalk = area of outer rectangle - area of sidewalk

                                  = 374 - 300

                                  = 74 square yards

The equation for line j can be written as y=1/2x-4. Parallel to line j is line k which passes through the point (-8, -5). What is the equation of line k?

Answers

The equation of line k is y = 1/2x - 1.

What is the equation of a line?

The equation y = mx + c is the general equation of any straight line, where m is the gradient of the line and c is the y -intercept.

Given that, the equation for line j can be written as y=1/2x-4. Parallel to line j is line k which passes through the point (-8, -5)

When two lines are parallel their slope are equal, so solving for c,

-5 = 1/2*-8 + c

c = -1

The equation will be,

y = 1/2x - 1

Hence, The equation of line k is y = 1/2x - 1.

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