The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side:

Answers

Answer 1

The statement and reason that complete the flowchart proof are:

1. ∠BDE ≅ ∠BAC

2. Corresponding angles postulate.

What are the Corresponding Angles Postulate?

The corresponding angles postulate states that two angles that correspond to each other are congruent angles.

In the given flowchart proof, ∠BDE and ∠BAC are corresponding angles, So, they are congruent by the corresponding angles postulate.

Therefore, the missing statement and reason are:

1. ∠BDE ≅ ∠BAC

2. Corresponding angles postulate.

The remaining part of the question is

"In ΔABC shown below, BD over BA equals BE over BC:

Triangle ABC with segment DE intersecting sides AB and BC respectively.

Top path, by Given the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC. By Side Angle Side.

Which reason can be used to fill in the numbered blank space?"

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The Following Flowchart Proof With Missing Statements And Reasons Proves That If A Line Intersects Two

Related Questions

How would you set this problem up to find x?

Answers

Answer:

33x - 13 = 13x + 7

Step-by-step explanation:

If "G" is the midpoint of line FH, then both segments (lines FG and GH) must be the same length. Therefore, to find "x", you can set both segments equal to each other. After doing this, you can simplify and isolate to find "x".

FG = 33x - 13

GH = 13x + 7

FG = GH

33x - 13 = 13x + 7

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming that your equation should}\\\huge\textbf{look like that: }[/tex]

[tex]\mathbf{33x - 13 = 13x + 7}[/tex]

[tex]\huge\textbf{If so:}[/tex]

[tex]\mathbf{33x - 13 = 13x + 7}[/tex]

[tex]\huge\textbf{SUBTRACT 13x to BOTH SIDES}[/tex]

[tex]\mathbf{33x - 13 - 13x = 13x + 7 - 13x}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{20x - 13 = 7}[/tex]

[tex]\huge\textbf{ADD 13 to BOTH SIDES}[/tex]

[tex]\mathbf{20x - 13 + 12 = 7 + 13}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{20x = 20}[/tex]

[tex]\huge\textbf{DIVIDE 20 to BOTH SIDES}[/tex]

[tex]\mathbf{\dfrac{20x}{20} = \dfrac{20}{20}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{x = \dfrac{20}{{20}}}[/tex]

[tex]\mathbf{x = 1}[/tex]

[tex]\huge\text{Answer: \boxed{\mathsf{33x - 13 = 13x + 7}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Point Y is the center of dilation. Triangle A B C is dilated to form triangle A prime B prime C prime.

If CA = 8, what is C'A'?
10 units
12 units
16 units
20 units

Answers

Using the rule of dilation, 5/4, the length of C'A' is: A. 10 units.

What is Dilation?

Dilation is a form of transformation that creates a new image that is similar to the original one.

The images formed are similar images shown in the diagram given, therefore, using the rule of dilation, Dy = 5/4, we would have:

CA × 5/4 = C'A'

Plug in the given value

8 × 5/4 = C'A'

10 = C'A'

C'A' = 10 units

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If the sum of three numbers is 456 and the first two numbers are 121.3 and 175.4, what
is the average of the three numbers?

Answers

Answer:

159.3

Step-by-step explanation:

456 - 121.3 = 334.7

333.7 - 175.4 = 159.3

Hope this helped

Answer:

152

Step-by-step explanation:

You actually don't need to find the thirds number. Just by taking 456 and dividing it by three, you will get your answer and the average of the three numbers.

The population of weights of a particular fruit is normally distributed, with a mean of 535 grams and a standard deviation of 13 grams. If 8 fruits are picked at random, then 18% of the time, their mean weight will be greater than how many grams? Round your answer to the nearest gram.

Answers

Pn(Z>zp)=1−p%

Given a variable X following a normal distribution with mean μ and standard deviation σ, the area below the curve that corresponds to all values that are less than a that is, X<a

is the probability P(X<a). This probability is usually calculated by converting the variable X to a standard normal variable Z (forming z scores) defined by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The variable Z follows the standard normal distribution with a mean of 0 and a standard deviation of 1.

The standard normal probabilities are typically found by using the standard normal tables or other computational means such as calculators or software.

Pn(Z>zp)=1−p%

Here Pn is the probability for the standard normal variable.

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Members of the swim teams at a competition want to wash their hair. The bathroom has less than 5600 liters of water and at most 1.5 liters of shampoo.





70L+60S < 5600 represents the number of long-haired members L and short-haired members S who can wash their hair with less than 5600 liters of water.
0.02L+0.01S ≤1.50 represents the number of long-haired members and short-haired members who can wash their hair with at most 1.5 liters of shampoo.
Does the bathroom have enough water and shampoo for 35 long-haired members and 40 short-haired members? Does the bathroom have enough water and shampoo for 35 long-haired members and 40 short-haired members based on the feasible region? Why or why not?

Answers

Yes, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.

What is inequality?

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

For 35 long haired and 40 short haired member.
Put this values in the given equation.

For water 70L+60S < 5600
  70 x 35 + 60 x 40
2450+2400
4850 <5600
inequality holds


For shampoo 0.02L+0.01S ≤ 1.50
0.02 x 35 + 0.01 x 40
0.7 + 0.4
1.1 < 1.50
inequality holds

Thus, the bathroom have enough water and shampoo for 35 long haired and 40 short haired members.

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Choose the 5 numbers that give a remainder of 5 when divided by 7 ASAp

Answers

Answer:

was there a list to choose from

Step-by-step explanation:

19, 26, 33, 40, 47

A simple random sample of size n=40 is obtained from a population with a mean of 20 and a standard deviation of 5. Is the sampling distribution normally distributed? Why?

Answers

If the sample size is n=40 ,mean of 20 and a standard deviation then the sampling distribution is normally distributed.

Given sample size is 40, sample mean is 20, sample standard deviation is 5.

We have to find whether the distribution is normally distributed or not.

Normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off simultaneously towards either extreme. It may be one tailed or two tailed also.

Yes the given distribution whose sample size is 40, sample mean of 20 and sample standard deviation of 5 is normally distributed as the sample size is greater than 30.

Signs of normal distribution are:

Symmetric bell shapemean and median are equal both located at the center of the distribution68% approximately equals 68% falls within 1 standard deviation of the mean.

Hence the sampling distribution is normally distributed.

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I need help finding the measurements I’m not good at using protractors

Answers

Answer:

a. What is the measure of ∠CAT?   Answer:  70°

b. What is the measure of ∠BAR?  Answer:  50°

c. What is the measure of ∠RAT?  Answer:   110°

d. What is the measure of ∠CAB? Answer:   130°

e. What is the measure of ∠BAT? Answer:    60°

Step-by-step explanation:

I just looked at the degrees of the protractor.

Hope this helps!

If not, I am sorry.

g Trigonometric substitution may useful when integrating the _____________ root of a sum or difference of two squares.

Answers

Trigonometric substitution may useful when integrating the integrals root of a sum or difference of two squares.

In arithmetic, trigonometric substitution is the substitution of trigonometric features for other expressions. In calculus, trigonometric substitution is a way of comparing integrals.

Moreover, one can also use trigonometric identities to simplify sure integrals containing radical expressions.

You can use trig substitution even when you do not have square roots. particularly, if you have an integrand that looks like an expression in the square roots proven inside the above table, then you can use trig substitution.

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0.127450980392 as fraction

Answers

[tex]\frac{1820728291}{14285714286}[/tex]

Three numbers in the interval $\left[0,1\right]$ are chosen independently and at random. What is the probability that the chosen numbers are the side lengths of a triangle with positive area

Answers

Let [tex]a,b,c[/tex] be the randomly selected lengths. Without loss of generality, suppose [tex]a

[tex]P(A + B \ge C) = P(A + B - C \ge 0)[/tex]

where [tex]A,B,C[/tex] are independent random variables with the same uniform distribution on [0, 1].

By their mutual independence, we have

[tex]P(A=a,B=b,C=c) = P(A=a) \times P(B=b) \times P(C=c)[/tex]

so that the joint density function is

[tex]P(A=a,B=b,C=c) = \begin{cases}1 & \text{if }(a,b,c)\in[0,1]^3 \\ 0 & \text{otherwise}\end{cases}[/tex]

where [tex][0,1]^3=[0,1]\times[0,1]\times[0,1][/tex] is the cube with vertices at (0, 0, 0) and (1, 1, 1).

Consider the plane

[tex]a + b - c = 0[/tex]

with [tex](a,b,c)\in\Bbb R^3[/tex]. This plane passes through (0, 0, 0), (1, 0, 1), and (0, 1, 1), and thus splits up the cube into one tetrahedral region above the plane and the rest of the cube under it. (see attached plot)

The point (0, 0, 1) (the vertex of the cube above the plane) does not belong the region [tex]a+b-c\ge0[/tex], since [tex]0+0-1=-1<0[/tex]. So the probability we want is the volume of the bottom "half" of the cube. We could integrate the joint density over this set, but integrating over the complement is simpler since it's a tetrahedron.

Then we have

[tex]\displaystyle P(A+B-C\ge0) = 1 - P(A+B-C < 0) \\\\ ~~~~~~~~ = 1 - \int_0^1\int_0^{1-a}\int_{a+b}^1 P(A=a,B=b,C=c) \, dc\,db\,da \\\\ ~~~~~~~~ = 1 - \int_0^1 \int_0^{1-a} (1 - a - b) \, db \, da \\\\ ~~~~~~~~ = 1 - \int_0^1 \frac{(1-a)^2}2\,da \\\\ ~~~~~~~~ = 1 - \frac16 = \boxed{\frac56}[/tex]

Please help me with this question.....​

Answers

[tex]\angle PYZ=116^{\circ}[/tex] (angles on a line add to 180 degrees)

[tex]\angle ZYQ=58^{\circ}[/tex] (angle bisector)

[tex]\angle XYQ=122^{\circ}[/tex] (angle addition postulate)

[tex]\angle QYP=58^{\circ}[/tex] (angle bisector)

Reflex [tex]\angle QYP=302^{\circ}[/tex] (an angle and its reflex angle add to 360 degrees)

erena is writing an expression that is equivalent to 12ab – 6b, but she has not completed it.

__?__ (2 a minus 1)

What is missing from the expression?

Answers

The missing term in the expression ___( 2a-1)  is 6b.

What is an Expression?

An expression is an algebraic statement that consists of variables, constants, and mathematical operators.

The expression 12ab-6b is equivalent to

6b( 2a-1)

(By taking the common factors out of the given expression.)

Therefore, the missing term in the expression is 6b.

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In the diagram below, all angles are given in
degrees (°).
Find the value of x.
60
x +90
X
3x
Not drawn accurately

Answers

Answer:

30°

Step-by-step explanation:

x + 90 = 2 × 60 ( angle at center = 2 × angle at circumference.)

x +90 = 120

x = 120-90

x = 30°


Help 20 points please

Answers

The second option is correct

80 more points ez ez!

Answers

Answer:

{(-3, -2), (-4, 3), (-1, 0), (3, -7)}

Step-by-step explanation:

When you find the inverse of a function you swap the x and the y. So let's look at a couple examples and see what happens to the x and y values

Radical:

[tex]y=\sqrt{x}[/tex]

So let's just look at perfect squares so it's a bit easier to understand

(0, 0)

(4, 2)

(9, 3)

Now let's find the inverse:

[tex]x=\sqrt{y}[/tex]

Now to make this concept a bit easier to understand let's leave it in this form. Well the first notable thing, is that any operations applied to y will now apple to x, and any operations applied to x will apply to y (in this case the square root).

So if I input 9 as the y, the x will be 3

If I input 4 as y, the x will become 2

Some points are

(0, 0)

(2, 4)

(9, 3)

You'll notice the x and y values are swapped, well it's simply because you swap the x and y's place. this is also why the domain and range are swapped

So given the points {(-2, -3),  (3, -4), (0, -1), (-7, 3)} you simply swap the x and y to get:            {(-3, -2), (-4, 3), (-1, 0), (3, -7)}

Answer:

D

Step-by-step explanation:

PLEASE HELPPP

Which statements about this system of equations are true? Select three options.

Options in picture:

Answers

The statement about the system of of equations that are true are as follows:

x = -34 / 9y = 7 / 9

How to solve system of equation?

The system of equation can be solved as follows;

2x - 7y = - 13

2x + 11y = 1

18y = 14

y = 14 / 18

y = 7 / 9

2x  = 1 - 11(7 / 9)

2x = 1 - 77 / 9

2x = 9 - 77 / 9

2x = -68 / 9

cross multiply

18x = -68

x = -68 / 18

x = -34 / 9

Hence, the statement about the system of of equations that are true are as follows:

x = -34 / 9y = 7 / 9

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Use the quadratic formula to determine the exact solutions to the equation.

6x2+4x−3=0



Answers

Howdy,

ye answer's here  

Instructions: Find the missing segment in the image below. HELP PLEASEE !!

Answers

The missing segment in the image below is 78 units.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The ratio or two corresponding sides of similar shapes are in the same proportion.

Let x represent the missing side, hence:

(x + 26)/26 = 48/12

x =78

The missing segment in the image below is 78 units.

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I need help asap! Thank you guys

Answers

Answer:

Y intercept: (0,2) Slope: 1/3

Step-by-step explanation:

X is horizontal. Y is vertical the slope touches at (0,2).

The slope goes up by one and right by three cause it connects to the line

for the second one all you would have to do is increase the slope first number like 4/3

Based on the data, which table shows a proportional relationship?

Answers

Based on the data, table that shows a proportional relationship is the first table.

What is proportional?

Data is said to be proportional if it increases or decreases at a constant rate.

What table has proportional data?

The first table has proportional data because the height increases by 5 centimeters everyweek, which shows a constant rate.

Note: This question is incomplete; below I attach the missing section:

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A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 29° From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 34° How high (in feet) is the mountain?

Answers

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the mountain is 3110.5767 feet.

What is Tangent (Tanθ)?

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The height of the mountain from the first point,

[tex]\tan(29^o) = \dfrac{H}{x+1000}\\\\H = (1000+x) \times \tan(29^o)[/tex]

The height of the mountain from the second point,

[tex]\tan(34^o) = \dfrac{H}{x}\\\\H = x \times \tan(34^o)[/tex]

Equating the height,

H = H

(1000+x) × tan(29°) = x tan( 34°)

x = 4611.5767 feet

Now, the height of the mountain is,

H = x tan(34°)

H = 3110.54776 feet

Hence, the height of the mountain is 3110.5767 feet.

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why i`m very weak in maths​

Answers

Answer:

your slow

Step-by-step explanation:

Step-by-step explanation:

good study habits will help! study before you plan on sleeping and designate times to do your work

A cheerleading team plans to sell t-shirts as a fundraiser. The team's
goal is to make a profit of at least $1248. The profit on each t-shirt sold
is $6.50. The team's goal is written as the inequality shown below.
6.50t ≥1248 where t=number of t-shirts sold
Which graph represents the solution to this inequality?

Answers

Answer:

t ≥ 192

Step-by-step explanation:

To isolate t in the inequality 6.50t ≥1248, divide by 6.50 on both sides. There you are left with t ≥ 192 which means the cheerleading team must sell 192 t-shirts or more to make their profit goal. Graph this using a closed circle at 192 moving upwards. (You didn't include a picture of the given graphs in your problem)

help meeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

Find the value of z.

Answers

Answer:

  z = 110°

Step-by-step explanation:

Angles z and the one marked 70° form an linear pair, hence are supplementary.

  z = 180° -70° = 110°

Angles where chords cross

The angle made by two chords is half the sum of the arcs intercepted by those chords. Here, that means ...

  70° = 1/2(60° +x)   ⇒   x = 140° -60° = 80°

The arc w completes the circle of 360°, so we have ...

  w +x +79° +60° = 360°   ⇒   w = 360° -219° = 141°

Finally, z is the average of w and 79°:

  z = (w +79°)/2 = (141° +79°)/2 = 110° . . . as above

Let R be a relation in N defined by R = { ( 1 + x , 1 +^2 ) ∶ ≤ 4, ∈ } Find
i) R ii) domain of R iii) range of R

Answers

1. R= {(2, 2), (3, 5), (4, 10), (4, 17)}

2. Domain = {1, 2, 3, 4}

3.  Range = {2, 3, 4, 5, 10, 17}

What is Domain and range?

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

Given:

R = { ( 1 + x , 1 + x^2 ) ∶ x≤ 4, ∈ }

1) R= {(2, 2), (3, 5), (4, 10), (4, 17)}

2) Domain = {1, 2, 3, 4}

3) Range = {2, 3, 4, 5, 10, 17}

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Find the lateral area of a cylinder that has a diameter of 18 mm and a height of 15 mm.​

Answers

Answer:

848.23 mm²

Step-by-step explanation:

LA = πdh

LA = 3.14159 × 18 mm × 15 mm

LA = 848.23 mm²

4(2x-1)+2x+2= 28

solve for X

Answers

Answer:

X=3

Step-by-step explanation:

First you can distribute the 4 to 2x-1 making is 8x-4

8x-4+2x+2=28

Now add like terms

8x+2x-4+2=28, 10x-2=28

Add 2 to both sides

10x=30

Divide both sides by 10

x=3

4(2x-1)= 8x-4
8x-4+2x+2=28
10x=28+4-2
10x=30
x=30/10
x=3

Prove that
1/(sec x - 1) + 1/(sec x + 1) is equal to
2cos x × cosec^2 x

Answers

Answer:

Step-by-step explanation:

[tex]1+tan^2\theta=sec^2\theta\\tan^2\theta=sec^2\theta -1 \\tan^2\theta=(sec\theta-1)(sec\theta+1)\\\implies \frac{1}{sec\theta-1} =\frac{sec\theta+1}{tan^2\theta} \\\\and \quad \frac{1}{sec\theta+1} =\frac{sec\theta-1}{tan^2\theta} \\\\ \frac{1}{sec\theta-1} + \frac{1}{sec\theta+1} = \frac{sec\theta+1}{tan^2\theta} + \frac{sec\theta-1}{tan^2\theta}\\\\=\dfrac{2sec\theta}{tan^2\theta}\\\\=\dfrac{2cos^2\theta}{cos\theta.sin^2\theta}\\\\\\=2cos\theta.cosec^2\theta[/tex]

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Often, products enter the Blank______ stage of the product life cycle not due to any error in strategy but because of environmental changes. Emil is running a lemonade stand. He sells half of his lemonade in the morning, a quarter of what was left at lunchtime, and a third of what ws left in the afternoon. When he closes for the day, he has 4 liters left. How many liters of lemonade did he start the day with? math How far does judy travel in 2 3/4 hours if she travels at the rate of 5 1/2 miles per hour Read this sentence:The town hall meeting became very loud when the mayor said taxes would go up 1.5 percent.What is the best way to revise this sentence to be more specific without changing the meaning? The town hall meeting erupted in anger when the mayor announced a 1.5 percent tax increase. The mayor said taxes would increase by 1.5 percent, which made the people in the town hall meeting loud. The audience at the town hall meeting raised their voices over the mayor's discussion about tax increases. When the mayor said taxes would increase by 1.5 percent, the town hall meeting became very loud. Use context clues to select the correct settings in the following paragraphs.As Jessica stepped off the curb onto the street, the taxi honked loudly. She jumped back and waited to cross. Men on bikes with messenger bags weaved in and out of the crowded ....... streets.1. Country2. City3. SchoolMeanwhile, Jessicas sister was piling kids from basketball practice into her van. She dropped them off in the school parking lot and drove the six miles out of town to her house. Turning off at the gravel road, she stopped by the .......... to make sure the cows had enough water.1. Pasture2. Resreaction section3. Parking lot To _____________ racial categories is to treat them as if they are real and meaningful and to forget they are made up In the 1930s, what world situations existed that may have encouraged nations to start another world war? A space shuttle can orbit the earth at 330 mi above sea level. The average commercial airplane can fly at 5.7 mi above sea level. What is the distance between the two aircraft? George is fun to be around but loses interest in his work without regular dialogues about it. As a portfolio risk analyst, his tasks can be tedious and detail-oriented. To keep George motivated, his manager can 16 percent of what number is 17 A muffin recipe that deals 50 muffins and use is 3 tablespoons of baking powder is being scale to heal 100 muffins how much baking powder will be needed convert to smallest measure The demand for a good increases when the price of a substitute in consumption ________ and also increases when the price of a complement in consumption ________. Solve the equation(6x18) (3x + 2) = 0 why is food chewed in the mouth why should we care about immigration if ( (ans == 'Y' && errors < 5) || numTries < 10 ) // note uppercase 'Y' count++; Which combinations of values result in count being incremented after the statement is complete? In a binomial experiement, what does it mean to say that each trial is independent of the other trials?. The clinic has collected data finding that the total number of people in their service area is 50,000, 27% of the community is over the age of 65 and immunocompromised, and 11% of the community under 65 is immunocompromised. While the clinic wishes to market to all members of the community, immunocompromised people over 65 are their current priority.Express the total number of people to which the health clinic must do outreach. Explain in a one well-written paragraph, how you will analyze the data in this scenario to arrive at the answer you will provide in number 2. DISCUSS the flow of energy from producer through top carnivores in a food web in terms of the laws of thermodynamics. please help me out somebody!