1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Monica [59]
1 year ago
14

I have completed the first three parts of this question, but now need help to finish...I need to calculate the ratios of the 4 l

ine segments LK, LM, ON, and OP. Based on the ratios, what can you conclude about three or more parallel lines that intersect two transversals?

Mathematics
1 answer:
galben [10]1 year ago
7 0

At first, we will find the lengths of LK, Lm, ON, OP, then use them to find the ratios between them

The rule of the distance is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For LK

Since L = (3, 6), K = (1,5.33), then

\begin{gathered} LK=\sqrt{(3-1)^2+(6-5.33)^2} \\ LK=\sqrt{4+0.4489} \\ LK=\sqrt{4.4489} \end{gathered}

For LM

Since L = (3, 6), M = (5, 6.67), then

\begin{gathered} LM=\sqrt{(3-5)^2+(6-6.67)^2} \\ LM=\sqrt{4+0.4489} \\ LM=\sqrt{4.4489} \end{gathered}

For ON

Since O = (3, 2.59) and N = (5, 4.2), then

\begin{gathered} ON=\sqrt{(3-5)^2+(2.59-4.2)} \\ ON=\sqrt{4+2.5921} \\ ON=\sqrt{6.5921} \end{gathered}

For OP

Since O = (3, 2.59), P = (1, 0.99), then

\begin{gathered} OP=\sqrt{(3-1)^2+(2.59-0.99)^2} \\ OP=\sqrt{4+2.56} \\ OP=\sqrt{6.56} \end{gathered}

Now let us find the ratios between them

\begin{gathered} \frac{KL}{LM}=\frac{\sqrt{4.4489}}{\sqrt{4.4489}}=1 \\ \frac{PO}{ON}=\frac{\sqrt{6.56}}{\sqrt{6.5921}}=0.9975\approx1 \\ \frac{KL}{LM}=\frac{PO}{ON}=1 \end{gathered}

That means, Parallel lines intercept equal parts

By joining MP

We will have Triangle KPM

Since KL = LM ------- Proved using the distance formula

Since LQ // KP ------ Given

Then MQ = QP ------- Using the theorem down

The theorem

If a line is drawn from a midpoint of one side of a triangle parallel to the opposite side, then it will intersect the 3rd side in its midpoint (Q is the midpoint of MP)

Parallel lines intercept equal parts

You might be interested in
The table represents the balance of Fernando’s loan, y, over a period several months, x. He used technology to create the scatte
vlada-n [284]

Answer:

The balance of the loan will be approximately $15,000. - Month 16

The balance of the loan will reach $0. -  Month 50

7 0
2 years ago
Please help asp <br> find the answer for h(10) if h(x)=8x+10.
coldgirl [10]
H(10)=8(10)+10
h(x)=90
hope this helps
4 0
3 years ago
Read 2 more answers
Graph x^2/49+y+1^2/4=1
11Alexandr11 [23.1K]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Perhaps you want a graph of ...

  x^2/49 +(y +1)^2/4 = 1

This is an ellipse centered at (x, y) = (0, -1) with a major axis in the x-direction of 14, and a minor axis in the y-direction of 4.

3 0
3 years ago
How do i solve this?
alina1380 [7]

Answer:

x=3

Step-by-step explanation:

minus 3x on both sides

after you've subtracted 3x from both sides you then need to minus 12 from both sides

Last step is going to be dividing by 2 and you should get the answer of 3

8 0
3 years ago
Read 2 more answers
How to do 40% of 45.explain your answer
kompoz [17]
Since it is 40% OF 45 you have the whole and percent so multiply 45 by 40 then divide by 100 you get 18
4 0
3 years ago
Read 2 more answers
Other questions:
  • Graph the linear equation find three points that solves the equation 2y=5x+11
    13·1 answer
  • What is the answer to the problem 5 + 6 (2+3) ^2
    7·1 answer
  • What is the value of n in the equation below? 12^n/ 12^5
    10·2 answers
  • What is 3 x -2? Please answer quickly!!!
    11·1 answer
  • Write an exspression for ''h less than 13''
    10·2 answers
  • Basketball einstein I'm sorry please forgive me :((((​
    13·2 answers
  • Which event leads to Mio regaining her confidence?
    5·1 answer
  • Work out the size of angle X
    11·1 answer
  • 19​% adults favor the use of unmanned drones by police agencies. Twelve U.S. Adults are randomly selected. Find the probability
    7·1 answer
  • Population Bellingham, Washington, had an area of 25.4 mi? and a population
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!