plesase solve this

Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures. (10 points)

Answers

Answer 1
Diagram:-

Required Answer:-

Tools Needed:

pencil, paper, ruler

Draw:-[tex]\begin{align*}\triangle ABC\end{align*}.[/tex] Label the vertices.

[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{AB}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{BC}\end{align*}. \begin{align*}X\end{align*} and \begin{align*}Y\end{align*}[/tex] can be anywhere on these sides.

Is [tex]\begin{align*}\triangle XBY \sim \triangle ABC\end{align*}? Why or why not? Measure \begin{align*}AX, XB, BY,\end{align*} and \begin{align*}YC\end{align*}. Then set up the ratios \begin{align*}\frac{AX}{XB}\end{align*} and \begin{align*}\frac{YC}{YB}\end{align*}.[/tex] Are they equal?

Draw:-

a second triangle,[tex] \begin{align*}\triangle DEF\end{align*}.[/tex] Label the vertices

Draw:-

[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{DE}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{EF}\end{align*} AND \begin{align*}\overline{XY} \ || \ \overline{DF}\end{align*}.

Is \begin{align*}\triangle XEY \sim \triangle DEF\end{align*}? Why or why not? Measure \begin{align*}DX, XE, EY,\end{align*} and \begin{align*}YF\end{align*}. Then set up the ratios \begin{align*}\frac{DX}{XE}\end{align*} and \begin{align*}\frac{FY}{YE}\end{align*}.[/tex] Are they equal?

From this investigation, it is clear that if the line segments are parallel, then [tex]\begin{align*}\overline{XY}\end{align*}[/tex] divides the sides proportionally.
Plesase Solve ThisProve That A Line Parallel To One Side Of A Triangle Divides The Other Two Sides Proportionally.
Plesase Solve ThisProve That A Line Parallel To One Side Of A Triangle Divides The Other Two Sides Proportionally.

Related Questions

On average, Seattle gets 38 inches of rain each year. How many centimeters of rain do they get each year?


I'll give brainiest!

Answers

Answer:

88.9

Step-by-step explanation:

a rectangular poster is made up of an image surrounded by a border l, as shown below. the area of the image is 1347cm².what is the area of the border?​

Answers

Answer:

i feel as though you have to multiply base times height

Step-by-step explanation:

you would have to multiply it

Solve for indicated variable

Answers

Answer:dusy

Step-by-step explanation:

Answer:

h = SA/(2πr) - r

Step-by-step explanation:

From what I understood of the the statement, we have to solve the equation for the variable h. So, we just have to isolate that variable in one side. See:

[tex]SA = 2\pi r^2 + 2\pi rh\\\\2\pi rh = SA - 2\pi r^2\\\\h = \dfrac{ SA - 2\pi r^2}{2\pi r}\\\\\boxed{h = \dfrac{SA}{2\pi r} - r}[/tex]

2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = ?

Answers

Answer:

The answer is 10080

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 + 3 + 10029 + 12 + 34 x (14512 - 14511) = 2+3+10029+12+34x1

=5+10029+12+34

=10080 answer

Please help...20 points! And explain

Answers

Perpendicular = opposite sign and reciprocal
The slope of perpendicular line would be -2
Equation y= -2x

What’s the numerator for the following rational expression please I need help quick taking test currently

Answers

Answer:

Well, the most reasonable explanation would be j+8 or 8+j

What's a rule you could apply to any number that would predict which denominators will terminate

Answers

I believe it’s
Think/ pair/ share

9514 1404 393

Explanation:

The decimal equivalent of a fraction will terminate if its denominator can be factored using only the prime numbers 2 and/or 5.

1/4 = 1/(2·2) will terminate

1/15 = 1/(3·5) will not terminate

The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks: We are ________ confident that the population mean is between _______ and _______.a) 1%, 0, 0.583120b) 99%, 0, 0.583120c) 99%, 0.385631, 0.780609d) 1%, 0.385631, 0.780609

Answers

Answer:

The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks:

We are ____99%____ confident that the population mean is between ___0.385631____ and ___0.780609____.

c) 99%, 0.385631, 0.780609

Step-by-step explanation:

This is the only correct option, given the relevant population mean range.  Option B is not correct as the population mean cannot range between 0 and 0.583120 as given by the option.  Options 'a' and 'd' are not relevant to the question because they have 1% confidence level, instead of the stated 99% confidence level.

Zoe‘s graduation picnic cost $94 for the decorations plus an additional $10 for each attendee at Moose how many attendees can there be if Zoe budgets a total of $474 for her graduation picnic

Answers

Answer:

38 attendees.

Step-by-step explanation:

Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!

Find the distance of a line given the following points. R(3, 1), W(-1, -2)

Answers

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

There is ounce of yeast in every 2 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?

Answers

one ounce of yeast is needed

Help pleaseee!
Thank you!

Answers

Answer:

The fourth graph

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

The correct graph is the last on on the bottom or D.
The equation has a slope of 2 and a y intercept of 3, therefore the last graph is correct.

Jack wants to attend a private 4-year university that costs $32,500 a year for tuition. His parents said they will give him $15,000 each year towards tuition. If he saves his money over the next four years before college, how much money will he have to save each year?
A $1,750
B $17,500
C $175
D $4375

Answers

Answer:

b

Step-by-step explanation:

4. If f(x) = 5X + 8, g(x) = 7X -2 Find (f - g)(x)

Answers

Answer:

-2x+10

Step-by-step explanation:

f(x)=5x+8

g(x)=7x-2

(f-g)(x)= 5x+8-7x+2= -2x+10

There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.

Answers

Answer:

36

Step-by-step explanation:

Number of new houses  = 60

Number of houses sold last month = (1/4) of 60

                                                          [tex]= \frac{1}{4}*60[/tex]

                                                          = 15

Remaining houses  = 60 - 15 = 45

Number of houses sold this month = (1/5) of 45

                                                          [tex]=\frac{1}{5}*45\\\\= 9[/tex]

Number of houses that are left = 45 - 9 = 36

The problems in this lesson review basic arithmetic skills.

Answers

Answer:

false

Step-by-step explanation:

Please please help me please it due today at 6:50pm please help will mark the brainiest please please help

Answers

6. nebula
7. A white dwarf

Answer:

6. nebula

7. once the sun reaches the end of its life cycle it will become a white dwarf star

8. i cant see the rest fo the question

Step-by-step explanation:

hope this helps

I’ll give you a Brainly if you get this done in 3 mins -Solve each system by substitution
1) y=-3x+5
5x-4y=-3

2)y=-2
4x-3y=18

3)-7x-2y=-13
X-2y=11

4)-5x+y=-3
3x-8y=24

Answers

Answer:

1) x = 1  ,  y = 2

2) x=3, y=-2

3) x=3, y=-4

4) x=0, y=-3

Step-by-step explanation:

I hope this helped! please mark as brailiest

Cameron spent 32 minutes on Instagram on Friday. The next day
he spent 30% of that on Instagram. In total, how much time did
Cameron spend on Instagram?

Answers

Answer:

41.6

Step-by-step explanation:

32 x 0.3 = 9.6

9.6 + 32 = 41.6

41.6

i had the same question

Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]

Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  

8. A substance has a half life of 2.347 minutes.
a. If the initial amount of the substance was 110.4 grams, how many half-lives will have passed
before the substance decays to 6.9 grams.
b. What is the total time of the decay?

Answers

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

[tex]A=A_0b^{\frac{t}{c}}[/tex]

Where [tex]A[/tex] is the final population

[tex]A_0[/tex] is the initial population

[tex]b[/tex] is the growth factor

[tex]c[/tex] is the time taken for the growth 'b'

[tex]t[/tex] is the amount of time

Here, we are given that:

[tex]A[/tex] = 6. 9 grams

[tex]A_0[/tex] = 110.4 grams

[tex]b = \dfrac{1}{2}[/tex]

[tex]c = 2.347[/tex] min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to [tex]\frac{t}{c}[/tex].

Putting the values in the formula, we get:

[tex]6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4[/tex]

Therefore, the answer is:

4 half lives have passed.

b.) Total time of decay. We have to find the value of [tex]t[/tex] here.

From answer of part a.):

[tex]\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}[/tex]

Please help I’m stuck on this question

Answers

the answer is b. the rest is so it can be enough charecters so i can post this answer

Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.​

Answers

Answer:

The equation is [tex]y=x-9[/tex]

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is:  [tex]y=mx+b[/tex]

Where  m  is the slope and  b  is the y-intercept value.  

[tex]y=1x-2[/tex]

Therefore the slope is  

[tex]m=1[/tex]

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:  

[tex](y-y1)=m(x-x1)[/tex]

Where  m  is the slope and  [tex](x1,y1)[/tex] is a point the line passes through.  

Substituting the information from the problem gives:

[tex](y- (-7)=1(x-2)[/tex]

[tex](y+7)=1(x-2)[/tex]

Or, we can solve for  y  to put the equation in slope-intercept form:

[tex]y+7=x-2[/tex]

[tex]y+7-7=x-2-7[/tex]

[tex]y+0=x-9[/tex]

[tex]y=x-9[/tex]

For homework, a student had to complete 54 problems total. If she finished 9 problems in
class, what is the ratio of problems she still needs to complete to problems that she's
already finished?

Answers

Answer:

10

Step-by-step explanation:

Answer:

45:9

Step-by-step explanation:

For all x in the domain of the function (x+1)/(x^3-x) this func-
tion is equivalent to

Answers

Answer:

The function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

Let us simplify this function

[tex]f\left(x\right)=\frac{x+1}{x^3-x}[/tex]

        [tex]=\frac{x+1}{x\left(x+1\right)\left(x-1\right)}[/tex]     ∵ [tex]Factor\:x^3-x=x\left(x+1\right)\left(x-1\right)[/tex]

Cancel the common factor (x+1)

        [tex]=\frac{1}{x\left(x-1\right)}[/tex]

Therefore, the function is equivalent to

[tex]\frac{x+1}{x^3-x}=\frac{1}{x\left(x-1\right)}[/tex]

         

Answer:

wrong

Step-by-step explanation:

Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15

Answers

Answer:

The missing term is 10

Step-by-step explanation:

2/11=x/55

cross multiply

2*55=11x

x=10

I hope this helps :)

The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)

Answers

Answer:

[tex]a : b = 14 : 29[/tex]

Step-by-step explanation:

Given:

[tex]Vanilla = 58[/tex]

[tex]Chocolate = 28[/tex]

Required

Represent as ratio

Let chocolate be represented with a and vanilla be represented with b

So, we have:

[tex]a : b[/tex]

[tex]a : b = 28 : 58[/tex]

Divide ratio by 2

[tex]a : b = 14 : 29[/tex]

Hence, the required ratio is [tex]14:29[/tex]

Write the equation of the exponential function given two points: (1,6) (3,96)

Answers

Answer:

y = 3/2 ⋅  4^x

Step-by-step explanation:

I hope this helped! please mark as brainliest

If 4 gal of the premium unleaded gasoline costs $16.24, how much would it cost to completely fill a tank whose capacity is 7 gal?

Answers

Answer:

$4.06 per gallon $4.06 x 7 = $28.42

Step-by-step explanation:

For this module's assignment review the following. 1. A student randomly guesses the answers to a four-question true-or-false quiz. The observation is the student's answer for each question. Write out the sample space. (Use T = true and F = false) 2. At Aunt Edna's Diner, a customer can choose from 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course? 3. Compute gC3. 4. Compute 9P3- ​

Answers

9514 1404 393

Answer:

tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff84084504

Step-by-step explanation:

1. The sample space is all 16 possible sequences of T or F of length 4:

  tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff  fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff

__

2. The number of possibilities is the product of the numbers of choices at each stage:

  5 × 7 × 4 × 6 = 840 . . . different meals

__

3. 9C3 = 9!/(3!·6!) = 84

__

4. 9P3 = 9!/6! = 504

Other Questions
-2q 32 = 0q=andSomOne Please HeLp PleAse what page number was it when Columbuss point of view in his letter to the Treasurer of Spain? What is the correct answer? A ski club rents cross-country skis. The table below shows the cost of rentals for two and four days. Number 1 2 3 of Days Rented Rental Cost ($) 12 17 22 27 Which explicit formula models the cost of renting skis from the club? o an . = 12 + 5n O an . 10n An = 5 + 5n O an an = 7+5n What caused Mother Earth to send the terrible monsters, Typhon and his mate, Echidna, against Zeus? Help me pleaseeeeee!!!! Evaluate each value expression for the given value of x: 3x-13, x=6LAST ONE HURRY,FAST!!!!!!!!!!!!!!!!!!! Choose the correct word.S, l _____ de San Antonio.Question 8 options:a) esb) sonc) somosd) eres "Love begins by taking care of the loved ones- the ones at home". write a speech on this topic.pls answer, i will give brainliest. ANSWER NEEDED ??????? (Conditionals)TRUE OR FALSE:If a number is a perfect square, then it has only 3 factors. Read this excerpt from Abraham Lincolns Emancipation Proclamation. What inference, or conclusion, can you draw from this passage?I do order and declare that all persons held as slaves within said designated States and parts of States are, and henceforward shall be, free; and that the Executive Government of the United States, including the military and naval authorities thereof, will recognize and maintain the freedom of said persons.And I hereby enjoin upon the people so declared to be free to abstain from all violence, unless in necessary self-defense; and I recommend to them that, in all case when allowed, they labor faithfully for reasonable wages.And I further declare and make known that such persons of suitable condition will be received into the armed service of the United States to garrison forts, positions, stations, and other places, and to man vessels of all sorts in said service.And upon this act, sincerely believed to be an act of justice, warranted by the Constitution upon military necessity, I invoke the considerate judgment of mankind and the gracious favor of Almighty God.A. Freed slaves were not going to be immediately allowed to serve in the armed forces.B. Lincoln believed freeing the slaves had military importance as well as moral significance.C. Lincoln believed that freeing the slaves would help prevent European nations from attacking the North.D. Lincoln secretly hoped that the former slaves would rise up in violence against their masters. Why do you think that Bradbury would introduce Clarisse before Montag's wife, Mildred? Classify the following triangle based on its shape. Match the following items. 1. made the motion for independence endowed 2. member of the committee to write the Declaration of Independence Richard Henry Lee 3. needs no proof or explanation Roger Sherman 4. belongs to you unalienable 5. to have been freely given self-evident 6. the act of chasing or following pursuit Select the correct inference of the given passage from "The Cask of Amontillado."Indeed, it is very damp. Once more let me implore you to return. No? Then I must positively leave you. But I must first render you all the little attentions in my power.""The Amontillado!" ejaculated my friend, not yet recovered from his astonishment. The narrator knows he will abandon Fortunato in the vaults. The narrator is concerned about the dampness of the vaults. The narrator wants to convince Fortunato to leave the vaults. The narrator will make sure Fortunato is comfortable in the vaults. Students nowadays face greater social pressure compared to the past. Do you agree? i need to write 300 to 500 words 2.If the sun is approximately 1.5 x 1011 meters from Earth, what is the approximate distance from Earth to Mars?It was supposed to be 10 to the 11 power but it didnt do it. It out 1011 6 is a Natural, Whole, and Integer number,True or false 57x2.3 what is the anser pls help