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
Evgen [1.6K]
3 years ago
13

S KM ∥ JN? Why or why not?

Mathematics
2 answers:
atroni [7]3 years ago
7 0
This is the concept of linear proportionality, triangle JLN and triangle KLM are similar, this implies that:
KL/KJ=ML/MN
which implies that:
16/10=24/15
therefore we conclude that the answer is :
Yes, because 16/10=24/15
bixtya [17]3 years ago
4 0

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because \frac{16}{10}= \frac{24}{15}

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\

which is true as both sides simplify to \frac{8}{13}

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}

In other words, \frac{16}{10}= \frac{24}{15}


You might be interested in
Tareq pays $22.10 for 2.6 pounds of salmon. what is the price per pound of the salmon?
Juliette [100K]
What i would do since $22.10 for 2.6 find out how much 1 pound of salmon is

so divide $22.10 by 2.6

which would equal $8.50

$8.50 per pound of salmon

hope this helped :>

7 0
3 years ago
Read 2 more answers
639.497 rounded to the nearest tenth
Sphinxa [80]
It is 639.5. this is how you round numbers to the nearest tenth: 

if the digit in the hundredths place is 5 or more you round up one, if it is lower than 5 it stays the same, pay no attention to the thousandths place....ex--> 0.497 
the 4 is the tenths place 
th 9 is the hundredths place 
the 7 is the thousandths place......since 9 is 5 or more you round the 4 up one number, so the 4 would be a 5. pay no attention to the 7. lets do another 

0.426 
the 4 stays as a 4 because 2 is a lower number than 5.
7 0
3 years ago
Can some one plz help I'm comfuzzled
scZoUnD [109]

14+ 13y - 13y = 20y - 13y -21 (taking away the smallest y value from both sides)

14 = 7y - 21

14 + 21 = 7y - 21 +21 (+21 on both sides to remove -21 if we do -14 then we will have nothing on other side)

35 = 7y

35/7 = 7y/7 (dividing 7 on both sides)

5 = y

answer is 100% correct no doubts. hope it helped you.

5 0
3 years ago
What is the mean of the data ?
julia-pushkina [17]

Answer:

maryland

Step-by-step explanation:

3 0
3 years ago
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w
faltersainse [42]

40 x 5280 = 211200 feet per hour

211200 / 3600 = 58.666 = 59 feet per second

5 0
3 years ago
Other questions:
  • Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is
    7·1 answer
  • Martha drove 281.4 miles in 4.2 hours. How fast was she driving?
    7·1 answer
  • What’s the correct answer for this?
    10·1 answer
  • Write 23 in scientific notation A. 23 x 101 B. 2.3 x 101 C. 2.3 x 102 D. 2.3 x 103
    9·2 answers
  • A ferris wheel holds 48 people. there are 823 people with tickets to ride the ferris wheel. how many times will the ferris wheel
    7·2 answers
  • Write a ponlynomial funstion in standard form with zeros at -2, 5 and 6
    13·1 answer
  • I need help with this question
    12·1 answer
  • If you have the option of choosing a loan that will accumulate 4%/ a interest compounded semi-annually compared to a loan that w
    10·1 answer
  • Jessica bought 1/2 pound of roast beef and 5/6 pound of ham. Which pairs of fractions are equivalent to the amounts Jessica boug
    14·2 answers
  • What is the sum of all of the integers from -4 to +5?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!