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

11 ÷ 924 in long division

Answers

Answer:

231  your welcome

Step-by-step explanation:


HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

its the first third and fith

Step-by-step explanation:

Convert 0.49494949 into a fraction. Show all work.

Answers

Answer:

0.49 49

=

49      this is a fraction

99

Step-by-step explanation:

Let

XXX

x

=

0.49

¯¯¯¯

49

then

XXX

100

x

=

49.49

¯¯¯¯

49

and

XXX

99

x

=

100

x

x

=

49

XXX

x

=

49

99

I need help on this angle measurement paper​

Answers

Wait......What.....Isssssss.....that!?!??

Select the correct months.
The balance of Jim's account on the first day of the month for the first six months of 2013 is given. Identify the months when the balance was
less than the balance in January.

Please answer.

Answers

Answer:

June I got u bro it was easy but there u got

Answer:

june,april,march

Step-by-step explanation:

yeeeeeeeeeeeeeeee i <3 waaaaaaaaafuls

becky adds 11 new videos to instagram per week. She currently has 1,577 videos.

Write an expression that represents the number of videos Charli will have in w weeks.

Answers

Answer:

1577 + 11w

Step-by-step explanation:

Linear or nonlinear

Answers

Answer:

I think its linear so I dont know 100% but I think it's a sorry if I'm wrong

Answer:

linear

Step-by-step explanation:

it is in y=mx+b form. also it forms a straght line

a mass of 25kg on a ramp at an angle of inclination 30 degrees to the horizontal, is oulled with a force of 75 kg an angle of 20 degrees to the ramp what is the frictional force if it is pulled up the ramp at constant speed

Answers

Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)

The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,

F = p cos(20º) - w sin(30º) - f = 0

We're given p = 75 N, and

w = m g = (25 kg) (9.80 m/s²)

so

f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)

f ≈ -52 N

That the magnitude is negative makes me think there's a mistake in the question.

A package of markers include three box markers and nine colored markers what percent of the markers in the package are color markers

Answers

Answer:

66.666%

Step-by-step explanation:

*that is the actual answer*

*i'm not summoning Satan*

Answer:\ Yes, they are color markers.

Step-by-step explanation:

hope this helps!!

What is the absolute value of 2-9i

Answers

Answer:

so we get as,

let, y = 2 - 9i

so the absolute value is |y|

so we get as,

|y| = 2-9i

so the absolute value is  |y|

|y|=√ 2 to the 2nd power plus 9 to the second power

so we get as,

|y|=

√81+4=√85

so the value is √85

Example:

| − 2 − i | = √ 5

Explanation:

Absolute value of a complex number  a + i b  is written as  | a + i b |  and its value as  √a 2 + b 2 .  

Hence, absolute value of  − 2 − i  is  √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .

Step-by-step explanation:

Which event has theoretical probability of exactly 1/5 select three options

Answers

The spinner is divided into 10 equal sections.

Which event has theoretical probability of exactly 1/5? Select three options.

A) spinning a number less than 3

B) spinning a 4 or 5

C) spinning an odd number

D) spinning a number greater than 8

E) spinning a number less than 8

Answer:

Options A, B & D are correct

Step-by-step explanation:

From the image attached, we can see that the total number on the spinner is 10.

Now, we want to find which event has theoretical probability of exactly 1/5

Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.

Thus; probability = 2/10 = 1/5.

This option is true

Option B: spinning a 4 or 5 means 2 numbers.

Thus; probability = 2/10 = 1/5.

This option is true

Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.

Thus, probability = 5/10 = 1/2

This option is wrong.

Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.

Thus, probability = 2/10 = 1/5

This option is correct

Option E: numbers less than 8 are;

1,2,3,4,5,6,7. That's a total of 7 numbers.

Probability = 7/10

Thus, this option is wrong.

Answer: A, B, D

Step-by-step explanation:

a recipe for cooking turkey says to allow 15 minute cooking for each pound of turkey and to add 5 minutes additional cooking time per pound if the turkey is stuffed. this turkey weighs 15 pounds and will be stuffed. after cooking, the turkey will need 1/2 hour wait time for cooling and carving. what is the independent and dependent

Answers

The doctor had the opinion about the boy that it world

hare been better is he had velict

What is the distance between points P(8, 5) and Q(2,-3) to the nearest tenth?

Answers

I will say its the correct answer

! Find the slope using the formula.
(9,-5) and (-2,9)

Answers

Answer:

[tex]m=\frac{-14}{11}[/tex]

General Formula and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (9, -5)

Point (-2, 9)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{9+5}{-2-9}[/tex]Add/Subtract:               [tex]m=\frac{14}{-11}[/tex]Rewrite:                        [tex]m=\frac{-14}{11}[/tex]

x/4-6=2 simplify the following two step equation

Answers

Answer:

First, collect the like terms by one side

x/4=2+6

x/4=8

Then, criss-cross it, which means multiply 4 with 8

x=4×8

x=32

Step-by-step explanation:

I hope this is the answer to your question, if it helped you, please give me brainliest

Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?
–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

Answers

Answer:

A

Step-by-step explanation:

[tex]f(x) = (x + 2)^2(x-4)(x + 1)^3[/tex]

x+2=0

x+2-2=0-2

x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2

x-4=0

x-4+4=0+4

x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1

x+1=0

x+1-1=0-1

x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3

The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.

What are the roots of an equation?

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

As per the given function,

f(x) = (x + 2)²(x - 4)(x + 1)³

The roots are the points at which the value of the function is zero.

f(x) = 0

(x + 2)²(x - 4)(x + 1)³ = 0

(x + 2)² = 0

x = -2 (with a multiplicity of 2)

(x - 4) = 0

x = 4  (with a multiplicity of 1)

(x + 1)³ = 0

x = -1  (with a multiplicity of 3)

Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".

To learn more about the roots of equations,

https://brainly.com/question/12029673

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what is the solution of the proportion 22/11 = r/13

Answers

Answer:

r=26

Step-by-step explanation:

22/11=r/13

11r=286

r=26

What is the value of k in the equation k/3-5=34

Answers

Answer: What is the value of k in the equation k/3-5=34

Step-by-step explanation: Solution for k/3-5=34 equation: k in (-oo:+oo) k/3-5 = 34 // - 34 k/3-34-5 = 0 1/3*k-39 = 0 // + 39 1/3*k = 39 // : 1/3 k = 39/1/3 k = 117 k = 117

Answer:

k = 117

Step-by-step explanation:

I was just learning this in class...

So basically you need to get the variable k by itself so you add 5 to -5 in the equation and leave k/3 alone and then you add 5 to the other side of the equation also so you add 34+5 and you get 37 so you get k/3=37 and now you multiply 3 by 3 to cancel it out and then you once again do it on the other side of the equation 37 x 3=117 soo that leads you too k=117 YAYYY!!

What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
Equation:
Solution:

Answers

Answer:

11

Step-by-step explanation:

Equation: 8x - 12 = 76

Add 12 to both sides

8x = 88

Divide both sides by 8

x = 11

Hope this helped :)

The entrance to a museum in Paris is shaped like a square pyramid. The base of the pyramid has a side length of 35 meters, and the height of the pyramid is 22 meters

Answers

The height would be 42 meters

Answer:

the total Hight would be 42 meters

Step-by-step explanation:

20 plus 4000???????​

Answers

Answer:

4020

Step-by-step explanation:

I'm such a smart man

On average, 2.8 babies are born each day at a local hospital. Assuming the Poisson distribution, what is the probability that no babies are born today?

Answers

Answer:

The probability is [tex]P(X = 0) =  0.6997[/tex]

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 2.8[/tex]

Generally the Poisson distribution constant  [tex]\lambda[/tex] is mathematically represented as

        [tex]\lambda = \frac{1}{\mu }[/tex]

=>     [tex]\lambda = \frac{1}{2.8 }[/tex]

=>     [tex]\lambda = 0.3571[/tex]

Generally the probability distribution for Poisson distribution is mathematically represented as  

     [tex]P(X = x) =  \frac{(\lambda t)^x e^{-t \lambda}}{x!}[/tex]

Here  t =  1 day

Generally the probability  that no babies are born today is mathematically represented as

       [tex]P(X = 0) =  \frac{(0.3571 * 1 )^0 e^{-1 * 0.3571}}{0!}[/tex]

=>    [tex]P(X = 0) =  0.6997[/tex]

What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

Answer: y=2x+2

Step-by-step explanation:

endrick walked 5 12 of a mile in 1 2 of an hour. How fast did he walk?

Answers

He walked 387 Bc u multiple

2 (43 – 1) +6
Most equivalent

Answers

Answer:

90

Step-by-step explanation:

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

[tex]\mathbf{2(43 - 1) + 6}\\\\\mathbf{= 2(\boxed{\bf 42}) + 6}\\\\\mathbf{= \boxed{\bf 84} + 6}\\\\\mathbf{= 90}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{90}}}\huge\checkmark[/tex]

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

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

Match each equation with its graph

Answers

Answer:

The first graph would be y=5x+2

The second graph would be y=3x+3

The third graph would be y=2x+3

Step-by-step explanation:

First Graph: The x-intercept would be (-0.4, 0). The y-intercept would be (0, 2). The line in the graph goes through both of the points.

Second Graph: x = -1.

y=3

The line in the graph goes through both.

Third Graph:  x = -1.5

y = 3

The line also goes through both.

How many solutions does 10(x+4)-3=14x+1

Answers

Answer:

one solution

x=9

Step-by-step explanation:

10x+37=14x+1

37=4x+1

36=4x

x=9

Answer:

X = 9

It has ONE SOLUTION

Step-by-step explanation:

10(x+4)-3=14x+1 (Given)

10x + 40 - 3 = 14x + 1 (distributive property)

10x + 37 = 14x + 1 (combine like terms)

-4x = -36 (subtraction property)

x = 9

Which expression results in a sum or difference of
the answer choices are

Answers

here it is, hope i helped :)

the answer is 3 1/12

Answer:

6 2/6 -3 2/8

Step-by-step explanation:

6*6=36

36+2=38

so it becomes 38/6

8*3=24

24+2=26

so it becomes 26/8

for same denominator *ply 38/6 with 8 &26/8 with 6

it will become: 304-156/48

148/48

which is equal to

3 4/48

what is 9- 3/1/3 + 1 ?

Answers

Answer:

1

Step-by-step explanation:

There are 1/3•9=3, so 3÷1/3=9.9-9=00+1=1

The value of the expression 9 - 3/1/3 + 1 will be 1.

What is Mathematical  expression?

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

Given that;

The expression is,

⇒ 9 - 3/1/3 + 1

Now,

Solve the expression as;

The expression is,

⇒ 9 - 3/1/3 + 1

⇒ 9 - 3 × 3 + 1

⇒ 9 - 9 + 1

⇒ 1

Thus, The value of the expression 9 - 3/1/3 + 1 will be 1.

Learn more about the mathematical expression visit:

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Drag and drop the constant of proportionality into the box to match the table.

If the table is not proportional, drag and drop "not proportional" into the box.

x 0 2 4 6
y 0 3 6 9

Answers

Answer: it is NOT proportional

Step-by-step explanation: it doesn’t stick to 1 number going up if that makes sense, it’s adding 1 each time it goes up but it has to stick to one number going up making this NOT proportional

Answer:

2/3

Step-by-step explanation:

x adds by 2's: 0 2 4 6...

y adds by 3's: 0 3 6 9...

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