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
Rainbow [258]
3 years ago
6

What is JK? please explain/show your work on how you got your answer​

Mathematics
2 answers:
Travka [436]3 years ago
6 0

Answer:

  • JK = 20 m

Step-by-step explanation:

  • <em>A line segment that connects two midpoints of the sides of a triangle is called a midsegment.</em>
  • <em>A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.</em>

Point J is midpoint of side HI as HJ = JI

Point K is midpoint of side GI as GK = KI

JK is midsegment as connects the midpoints of the sides

JK = 1/2HG as per property of midsegment

  • 6x - 4 = 10x/2
  • 6x - 4 = 5x
  • 6x - 5x = 4
  • x = 4

JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m

Lady bird [3.3K]3 years ago
6 0

Answer:

JK=20m

Step-by-step explanation:

It is given in the diagram that IJ = JH and IK = KG. Therefore, by the definition of a midpoint, we know that J and K are the midpoints of segments IH and IG respectively. Then, it can be concluded that JK is a midsegment by the definition of a midsegment. The Midsegment Theorem states that a midsegment connecting the midpoints of two sides of a triangle is parallel and half of the length of the third side. Thus, we know that JK is half of HG. Now, we can set up the following equation to solve for x:

JK = \frac{1}{2}HG\\6x-4=\frac{1}{2}(10x)

Solving for x, we get:

6x-4=\frac{1}{2}(10x)\\6x-4=5x\\x-4=0\\x=4

Therefore, JK = 6x - 4 = 6(4) - 4=24-4=20 m.

Hope this helps!

You might be interested in
Which is a unit rate?<br> 3:5 2:6 4:7 5:1
kogti [31]

Step-by-step explanation:

all......................

5 0
3 years ago
kylie opened a bank account. she deposited 76.50 into her account every month for 10 months. she used 30.50 every month to pay f
topjm [15]
The total amount of money Kylie spent to go to talent camp is 115. 

76.5 *10 =765 (Amount of money she deposited in 10 months)
30.5 *10 = 305 (Amount of money she used to pay for singing lessons in 10 months)
765 - 305 = 460 (Amount remaining after singing lessons for 10 months)
460/4 = 115 (Amount she used to go to a talent camp)
5 0
3 years ago
What number would have to be added to complete this square x^2 + 10x +?
Nady [450]
I believe 25 has to be added as
(x*5)^2 = x^2 + 10x + 25
5 0
3 years ago
What is 304÷16 using partial quotients plz i need this answer right now for my home work plz
Ilya [14]
The answer would be 19. 
4 0
3 years ago
Read 2 more answers
How can I estimate the square root of a non-perfect square
BlackZzzverrR [31]
Hope this helped you :)
8 0
3 years ago
Read 2 more answers
Other questions:
  • Mark has $1,700 to buy a new computer. The computer he wants is on sale for $1,475. How much would he save if he bought the comp
    12·2 answers
  • Which of these are factors of 121?
    6·2 answers
  • Which rigid transformation can map abc on to fed
    8·1 answer
  • Please help! 10 points &lt;3
    11·2 answers
  • Please help me the answers with an x next to them are wrong, and it’s not the other way around please help!!
    12·1 answer
  • 6 Which expression below has a coefficient of 3?
    12·2 answers
  • Need help asap question is in the picture
    14·2 answers
  • Pleaseeeee helppppppppppppppp
    15·1 answer
  • Shawn bought some fruit last week, consisting of bananas and grapes. Bananas were $0.59 per pound and grapes were $1.99 per poun
    14·1 answer
  • Given the figure below find the values of x and z
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!